Answer:
A. –8.6, –5.0, –1.4, 2.2, 5.8, …
C. 5, 1, –3, –7, –11, …
D. –3, 3, 9, 15, 21, …
Step-by-step explanation:
If a sequence is an arithmetic sequence, the difference between any two terms must be the same for all terms.
This is known as the common difference
The correct choices are:
A : Common Difference = 3.6
C. Common difference = -4
D. Common difference = 6
What is the result 31 x 2 ?
Answer: 62
Step-by-step explanation:
The result of multiplying the numbers 31 by 2 is 62.
When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.
In this case, when you multiply 31 by 2, you are adding 31 to itself two times:
31 + 31 = 62
Therefore, the result of multiplying 31 by 2 is 62.
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PLEASE ANSWER QUICKLY I NEED HELP AND ITS DUE IN 2 HRS
A graph that represents the number of books made in 4 hours include the following: B. graph B.
How to write the required linear inequality?In order to write a linear inequality to describe this situation, we would assign variables to the number of books and the number of hours respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of hours.Let the variable x represent the number of books.Since this printer makes more than three (3) copies of book every hour, a linear inequality which models or represents this situation is given by:
y > 3x
When the number of hours, x = 4 hours, the number of books made can be calculated as follows;
y > 3x
y > 3(4)
y > 12.
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Al Medina, D.D.S, opened an incorporated dental practice on January 1, 2022. During the first month of operations, the following transactions occurred.
Performed services for patients who had dental plan insurance. At January 31, $760 of such services was completed but not yet billed to the insurance companies.
Utility expenses incurred but not paid prior to January 31 totaled $450.
Purchased dental equipment on January 1 for $80,000, paying $20,000 in cash and signing a $60,000, 3-year note payable (interest is paid each December 31). The equipment depreciates $400 per month. Interest is $500 per month
Purchased a 1-year malpractice insurance policy on January 1 for $24,000.
Purchased $1,750 of dental supplies (recorded as increase to Supplies). On January 31, determined that $550 of supplies were on hand.
Prepare the adjusting entries on January 31. Account titles are Accumulated Depreciation- Equipment, Depreciation Expense, Service Revenue, Accounts Receivable, Insurance Expense, Interest Expense, Interest Payable, Prepaid Insurance, Supplies, Supplies Expense, Utilities Expense, and Accounts Payable. (If no entry is required, select "No Entry for the account titles and enter O for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.
The entry to record the services provided to patients with dental plan insurance but not yet billed is: Debit: Accounts Receivable - Dental Plan Insurance $760 ,Credit: Dental Services Revenue $760.
How to prepare the journal entry?To prepare the adjusting entries on January 31 for Al Medina, D.D.S, we need to analyze the transactions and determine the amounts that need to be recorded as expenses, prepaid expenses, and accrued expenses. Based on the information given, the following adjusting entries are required:
To record the services provided to patients with dental plan insurance but not yet billed:
Debit: Accounts Receivable - Dental Plan Insurance $760
Credit: Dental Services Revenue $760
To record the utility expense incurred but not yet paid:
Debit: Utilities Expense $450
Credit: Utilities Payable $450
To record the depreciation expense for the dental equipment:
Debit: Depreciation Expense $400
Credit: Accumulated Depreciation - Dental Equipment $400
To record the interest expense on the note payable:
Debit: Interest Expense $500
Credit: Interest Payable $500
To record the portion of the malpractice insurance policy that has been used up in January:
Debit: Insurance Expense $2,000 ($24,000 ÷ 12 months)
Credit: Prepaid Insurance $2,000
To adjust the Supplies account for the supplies used up in January:
Debit: Supplies Expense $1,200 ($1,750 - $550)
Credit: Supplies $1,200
Therefore after posting these adjusting entries, the financial statements will reflect the correct balances in the accounts and the expenses and revenues for the month of January will be accurately reported.
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What is the value of 8X plus 2X when X = 6
Answer:60
Step-by-step explanation:
8x+2x=10x
10*6=60
Answer:
60
Step-by-step explanation:
If x=6, and the equation is 8x + 2x =?, we can simply insert 6 into the equation:
(8 × 6) + (2 × 6) =?Solving the parenthesis:
48 + 12 = 60Therefore, the answer is 60.
On the coordinate plane below, figures ABCD and A'B'C'D' are similar.
Which sequence of transformations proves these two figures' similarity?
A) Rotate ABCD 180° around the origin, then dilate it by a scale
factor of 2 centered at point D.
B) Reflect ABCD across the x-axis, then dilate it by a scale factor of
2 centered at the origin.
C) Rotate ABCD 90° clockwise around the origin, then translate it 3 units to the right and 1 unit down.
D) Reflect ABCD across the x-axis, then dilate it by a scale factor of 7 centered at the origin.
The sequence of transformations proves these two figures' similarity is (b) Reflect ABCD across the x-axis, then dilate it by a scale factor of 2 centered at the origin.
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
A'B'C'D' is twice ABCD in side lengths
This means that
(x, y) = (2x, 2y)
Also, ABCD is reflected across the x-axis to get A'B'C'D'
So, we have
(x, y) = (2x, -2y)
Hence, the transformation is (b)
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what is 210 lbs in kg?
210 lbs is approximately equal to 95.2544 kg ( rounded to four decimal places )
The conversion factor to convert lbs to kilogram is 0.453592
1 lbs = 0.453592 kg
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in kg = The mass in lbs × conversion factor
Substitute the values in the equation
1 lbs = 0.453592 kg
210 lbs = 210 × 0.453592
Multiply the numbers
= 95.2544 kg ( rounded to four decimal places )
Therefore, 210 lbs is 95.2544 kg
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What is a horizontal integration simple definition?
Using the business strategy of horizontal integration, a firm will buy out or combine with another business in its sector at the same stage of development.
Obtaining access to new goods, technology, or distribution routes, enables the acquiring firm to boost its market share and competitiveness.
Simply put, horizontal integration refers to the purchase or merger of rival businesses operating in the same sector. The objective is to lessen competition and boost economies of scale, which can result in greater effectiveness and financial success.
In sectors like retail, where huge chains may buy smaller rivals to broaden their geographic reach or product offers, horizontal integration is frequent.
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How to convert 8oz in ml?
The value of volume of 8oz in ml is 236.588 ml
It is important to note that fluid ounces and milliliters are both units of volume, Converting 8oz to milliliters (ml) requires the use of a conversion factor, as these units measure different quantities.
One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters. To convert 8oz to ml, we multiply 8 by this conversion factor:
8 oz * 29.5735 ml/oz = 236.588 ml
Therefore, 8oz is equivalent to approximately 236.588 milliliters.
In different systems of measurement, with fluid ounces being more commonly used in the United States and milliliters being the standard unit of volume in the metric system used in many other countries.
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How many cards can be made out of a sheet of paper measuring 324cm by 144cm , if each card requires a piece of paper of size 16cm by 12cm ?
Number of cards made from the sheet of paper is 243.
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
On the entire sheet of paper, 243 cards were created.
The sheet is described as being 324 cm 144 cm in size.
Measures 324 centimeters in length.
The sheet has a 144-cm width.
We need to determine how many cards with a 16 cm by 12 cm size can be produced from a single sheet of paper.
The paper's size is 324 144.
46656 sq. cm is the size of the paper's surface.
Now, one card is equal to 16 divided by 12.
Currently, the area of a single card is 192 square centimetres.
Hence, Number of cards made from the sheet of paper is 243.
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A probability experiment is conducted in which the sample space of the experiment is S ={6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}. Let event E={6, 7, 8, 9. 10, 11, 12, 13}. Assume each outcome is equally likely. List the outcome in E°. Find P(E°).
The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.
E° is the complement of event E. It is the set of all outcomes that are not in event E and can be expressed as E° = {14, 15, 16, 17}.The probability of event E° is calculated by summing the probabilities of all outcomes in the event, P(E°) = P(14) + P(15) + P(16) + P(17). Since all outcomes in the sample space are equally likely, the probability of each outcome is 1/12. This means that the probability of event E° is calculated as follows:
P(E°) = 1/12 + 1/12 + 1/12 + 1/12 = 4/12 = 1/3.
Therefore, The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.
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how long is a dollar bill
A U.S. dollar bill is approximately 6.14 inches (15.6 cm) long, 2.61 inches (6.6 cm) wide, and 0.0043 inches (0.11 mm) thick.
A United States dollar bill is a rectangular piece of paper currency that is approximately 6.14 inches (15.6 cm) long, 2.61 inches (6.6 cm) wide, and 0.0043 inches (0.11 mm) thick. It is standardized by the U.S. government and has a green and black design featuring images of historical figures such as George Washington and Benjamin Franklin.
The front of the bill displays a portrait of a U.S. president, while the back showcases symbols and images related to U.S. history and culture. The U.S. dollar bill is the most widely used form of currency in the world and is accepted as a means of payment in many countries outside the United States.
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how to convert 150 meters to feet?
On converting the length , we get the that 150 meter is equivalent to 492.12 feet .
In order to convert the length of 150 meters to feet,
We use the conversion factor of 3.2808 feet per meter because we know that 1 meter is = 3.2808 feet ;
So , to convert "meter" to "feet" we simply multiply the number of meters by this conversion factor to get the equivalent distance in feet.
By using this method, we get:
⇒ 150 meters × 3.2808 feet/meter = 492.12 feet ;
Therefore, 150 meters is equivalent to 492.12 feet.
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Its in the form of a picture
The length of FN is given as follows:
5.83 units.
What is the distance between two points?Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
The shortest distance between them is given by the equation presented as follows:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For a segment length, we obtain the distance between the two endpoints of the segment.
Hence the length of FN is obtained as follows:
FN = sqrt((1 - (-2))² + (2 - (-3))²)
FN = sqrt(34)
FN = 5.83 units.
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George's teacher told him to calculate his grade by finding his average score. If he scored 76%, 58%, 90%, 44%, 81, and two 73% on his assignments, what is his average score?
George's average score is given as follows:
70.7%.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
The seven observations for this problem are given as follows:
76, 58, 90, 44, 81, 73, 73.
The sum of these seven observations is of:
76 + 58 + 90 + 44 + 81 + 73 + 73 = 495.
Hence the mean, representing the average score, is obtained as follows:
495/7 = 70.7%.
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PLEASE HELPPPPPPP!!!!!!!!!
Answer:
This pair of equations is solvable by substitution, as I can easily substitute for y because it is already isolated in both equations. After substituting for y, I will solve the equations to get the value of x and then substitute that x-value into the simpler of the two equations, y = x - 1. Once I have both the x-value and y-value, they will be put into a point (x,y).
y = 3x + 3
y = x - 1
x - 1 = 3x + 3
x = 3x + 4
-2x = 4
x = -2
y = x - 1
y = ( -2 ) - 1
y = -3
The final answer to the pair of inequalities is ( -2,-3 )
Step-by-step explanation:
y = 3x + 3
y = x - 1
"substitution" means we are defining one variable by an expression of the other variable and use this identity in one of the original equations.
in our case here the main work was already done (even twice) : y is defined as expressions in x.
we even have the luxury to pick which one and then to use it in the other.
it does not matter which one you pick, it will lead to the same result.
so, let's use the identity of equation 1 in equation 2 : we replace every occurrence of y by the defined identity
y = x - 1
turns into
3x + 3 = x - 1
now we subtract x from both sides
3x + 3 - x = x - 1 - x
2x + 3 = -1
now we subtract 3 from both sides
2x + 3 - 3 = -1 - 3
2x = -4
and finally we divide both sides by 2
2x/2 = -4/2
x = -2
this result we use now in one of the original equations to get y :
e.g.
y = x - 1
y = -2 - 1 = -3
so, the solution is (-2, -3)
A random experiment consists of tossing a fair six-sided die repeatedly. How many tosses are required to be certain that the probability that at least one '6' appears is greater than or equal to 1/2?
I keep getting 3 from 1/6+1/6+1/6=1/2, it says the correct answer is 4.
We need at least 5 tosses to be certain that the probability of getting at least one 6 is greater than or equal to 1/2.
The probability of not getting a 6 on a solitary throw of a fair six-sided kick the bucket is 5/6. Subsequently, the probability of not getting a 6 on n throws is [tex](5/6)^n[/tex]. The probability of getting somewhere around one 6 in n throws is 1 - [tex](5/6)^n[/tex].
To view the quantity of throws expected as sure that the probability of getting somewhere around one 6 is more prominent than or equivalent to 1/2, we can set the probability equivalent to 1/2 and address for n:
1 - [tex](5/6)^n[/tex] = 1/2
[tex](5/6)^n[/tex] = 1/2
Taking the normal logarithm of the two sides, we get:
n ln(5/6) = ln(1/2)
n = ln(1/2)/ln(5/6) ≈ 4.807
Hence, we really want something like 5 throws to be sure that the probability of getting no less than one 6 is more prominent than or equivalent to 1/2.
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Tell whether $(2,\ 3)$ is a solution of $x+y<7$
Answer: It is not
Step-by-step explanation: If you graph the equation you can see that it is not a solution and doesn't line up.
If m∠3 = 78°, what is m∠4?
90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.
Angle, what is it?Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."
How do you recognize a correct angle?Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.
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Anna and her brother were collecting seashells,. she collected s shells and her brother collected twice as much
So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.
They gathered a total of s + 2s = 3s shells.
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What are the first 25 digits of pi?
Answer:
3.14159265358979
Step-by-step explanation:
3.14159265358979 = the first 15 digits of πKeith's chocolate bar is 42% cocoa. If the weight of the chocolate bar is 61 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
TIMED.
Answer:
25.62 grams of cocoa
Step-by-step explanation:
To find the number of grams of cocoa in Keith's chocolate bar, we need to multiply the weight of the chocolate bar in grams by the percentage of cocoa in decimal form.
First, we convert the percentage to a decimal by dividing it by 100:
42% = 42/100 = 0.42
Next, we multiply the weight of the chocolate bar by the percentage of cocoa:
0.42 x 61 = 25.62
Therefore, the chocolate bar contains 25.62 grams of cocoa, rounded to the nearest tenth.
Answer:
25.62
Step-by-step explanation:
42 / 100 × 61
= 0.42 × 61
= 25.62
Working out is very important
The mean price of the 11 cards, given the cost of the packets of cards would be $ 1. 06
How to find the mean price ?To find the mean price of all 11 cards, first find the mean price of each card in the two packets.
Mean price in packet 1 :
= 11 / 9
= $ 1. 22
Mean price in packet 2:
= 2. 75 / 2
= $ 1. 375
The mean price of all 11 cards is:
= ( ( 1. 375 x 2 ) + ( 1. 22 x 9 ) ) / 11
= $ 1. 06
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how many g cm3 is equal to kg m3?
We can convert the unit kg/m ³ to g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.
We are provided with the unit kg/m ³ that means Kilograms per meter cube.
We have to covert it into g/cm³.
Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.
So, if we want to do the unit conversion, we should write,
= g/cm³
= 1000/1000000 g/cm³
Kg/m³ = 10⁻³ g/cm³.
Now, the above mentioned relation is our formula for the conversion of the two unit.
So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.
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a 25 foot ladder is leaned against the side of a building 2 feet from the base of the building. how far up the wall does the ladder reach and what is the angle of elevation for the ladder both to the nearest tenth?
Answer:
The ladder reaches up to 23.2 feet up the side of the building and the angle of elevation is 78.7 degrees to the nearest tenth. To calculate these values, you can use the Pythagorean Theorem. Let x be the distance the ladder reaches up the wall, and let y be the distance from the base of the building to where the ladder is leaning against the wall. Then, the Pythagorean Theorem states that x2 + y2 = 252, or x2 = 252 - y2. Since y = 2, then x2 = 252 - 22 = 676. Solving for x gives us x = 26, so the ladder reaches up to 26 feet. To calculate the angle of elevation, we can use trigonometry. We know that the opposite side is 26 feet and the adjacent side is 2 feet, so by using the tangent function, we can calculate the angle of elevation as tan-1(26/2) = 78.7 degrees.
How to convert 118 lbs to kg?
The converted value of 118pounds to kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals )
To convert 118 pounds to kilograms :
First write the standard relation between pounds and kilograms:
1 pounds = 0.453592 kilograms
Now multiply by the required value on both the side of the equation to get the converted value,
⇒ 118 pounds = ( 118 × 0.453592 ) kilograms
⇒ 118 pounds = ( 53.523856 ) kilograms
⇒ 118 pounds = ( 53.5239 ) kilograms ( round upto four decimals )
Therefore, the required value of 118 pounds to be converted into kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals ).
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Fill in the blank with the correct response.
A(n)STEM_________degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree
A STEM (Science, Technology, Engineering, and Mathematics) degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree.
STEM degrees cover a wide range of topics, including mathematics, computer science, engineering, and other sciences. These degrees can provide a strong foundation for a career in a variety of industries, including technology, healthcare, and education.
When pursuing a STEM degree, students must complete a set of specific courses that are related to their chosen major. These courses may include mathematics, physics, chemistry, biology, computer science, engineering, and other related subjects. Additionally, students must also complete a certain number of hours of lab and/or research experiences. Depending on the degree program, students may also be required to complete an internship, apprenticeship, or other work experience.
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If a person is between one and seven days late paying tax, they are charged an extra 1% on the amount owed. If a person is over seven days paying tax, they are charged an extra 4% on the total amount owed ( including the extra 1% for being one to seven days late ). Calculate how much Amelia must pay if she owes $2375 and she pays it 10 days late.
Answer:
$2470
Step-by-step explanation:
If a person is between one and seven days late paying tax, they are charged an extra 1% on the amount owed. If a person is over seven days paying tax, they are charged an extra 4% on the total amount owed ( including the extra 1% for being one to seven days late ). Calculate how much Amelia must pay if she owes $2375 and she pays it 10 days late.
If Amelia owes $2375 and is 10 days late in paying her taxes, she will be charged an extra 4% on the total amount owed, which is $95. This is calculated by adding the 1% late fee for being 1 to 7 days late ($23.75) to the extra 4% late fee for being over 7 days late ($71.25) to get a total late fee of $95. Therefore, Amelia's total payment will be $2470.
The percentage of battery remaining, y, on a tablet's battery after x hours can be represented by the given graph. coordinate grid with the x axis labeled time in hours and the y axis labeled percent of battery remaining, with a line that passes through the points 0 comma 30 and 3 comma 0 What is the meaning of the y-intercept in the context of the problem?
The tablet starts with 30 percent of battery remaining.
After 30 hours, the tablet will have 0 percent of battery left.
The tablet will not have any battery remaining after 3 hours.
The tablet loses 3 percent of battery every hour.
Answer:
Step-by-step explanation:
The meaning of the y-intercept of the given graph is the starting battery percentage of the tablet. In this case, the y-intercept is 30, which means that the tablet starts with 30 percent of battery remaining. As the x-axis represents time in hours, at the beginning, the tablet has not been in use yet, and it has a full charge of 30 percent. From the given graph, we can see that after 3 hours, the tablet's battery percentage drops to 0. Therefore, it can be concluded that the battery of the tablet does not last for more than 3 hours, and it has to be recharged after this time period.
So, the correct option that describes the meaning of the y-intercept in the context of the problem is "The tablet starts with 30 percent of battery remaining."
how to convert 0.875 in inches?
The value 0.875 mm in inches is 0.034448819
in one inch = 25.4 millimeters
so in 0.875mm = 0.975/25.4 inchs.
customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12
one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .
The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.
Q- how to convert 0.875mm in inches?
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Are the two triangles similar?
Yes or no?
How do you know? I
Yes, the two triangles are similar because they have equal angles.
What are similar triangles?Two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling.
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
The missing side of the first triangle is 180-(111+24)
= 180-135
= 45°
The Missing angle of the second triangle is 180-(45+24) = 180-79
= 111°
This means that the corresponding angle of the triangle are equal and hence they are similar.
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Yes, the triangles are similar.
How to find similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Therefore, similar triangle have the corresponding angles equal to each other and the corresponding sides as a ratio of each other.
Hence, If two triangles have two of their angles equal, the triangles are similar by AA(angles angles).
Hence, let's check if two angles are equal in the triangles as follows:
180 - 111 - 24 = 45 degrees.
Therefore, the triangles are similar.
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