The measures of the unknown angles are
x = 46
and
y = 88
Calculating the measures of the unknown angles in the triangleFrom the question, we are to determine the measures of the unknown angles in the triangle.
From the diagram, we can observe that the triangle is an isosceles triangle as the legs of the triangle are congruent to each other.
Since the triangle is an isosceles triangle, the base angles of the triangle must be equal
The base angles are 46° and x°
Thus,
x = 46
Also,
We can write that
y° + 46° + x° = 180° (Sum of angles in a triangle)
y° + 46° + 46° = 180°
y° + 92° = 180°
y° = 180° - 92°
y° = 88°
Thus,
y = 88
Hence, x = 46 and y = 88
Learn more on Calculating the measures of the unknown angles in a triangle here: https://brainly.com/question/3466973
#SPJ1
what is the definition of a subset and how does it work?
A subset is when all elements of any set A are present in another set B. Its working has been explained below.
Let us take two sets on random i.e., set A and set B. If we find that all elements of set A can be found in set B as well, we deem it to be a subset of set B. If we were to explain in simpler terms, we can say that set A is a part of set B.
Let us further assume that set A has the elements {1,2,3} and set {1,2,3,4,5,6}. From what we can see is that all elements in set A are also present in set B. This means that set A is a subset of set B.
Learn more about subsets on
https://brainly.com/question/23454979?referrer=searchResults
#SPJ4
Hello, Everybody! I would need help with some sigma notation.
Expectations: ( Since this is kinda hard for me I will give brainliest but MUST have expectations. )
- Correct Answer
- Detailed Explantion
Please do not: ( If you do these things I will not hesitate to report you immediately )
- Spam
- Gibberish
- Random nonsense
Thank you have a happy lovely day.
Question: \/ \/ \/
Answer:
The value of the given expression to the nearest integer is 114,126.
Step-by-step explanation:
[tex]\displaystyle \sum^{29}_{n=2}80\left(1.23\right)^{n-2}[/tex]
The given sigma notation means
Sum of the series with nth term 80(1.23)ⁿ⁻², starting with n = 2 and ending with n = 29.As 80(1.23)ⁿ⁻² is exponential, the series is geometric.
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]
Therefore, the first term, a, is 80 and the common ratio, r, is 1.23.
The formula for the sum of the first n terms of a geometric series is:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
As the exponent of the sigma notation is (n - 2) rather than (n - 1), and the given values of n are from n = 2 to n = 29, we need to find the sum of the first 28 terms.
Therefore, substitute a = 80, r = 1.23 and n = 28 into the sum formula:
[tex]\implies S_{28}=\dfrac{80\left(1-1.23^{28}\right)}{1-1.23}[/tex]
[tex]\implies S_{28}=114125.755...[/tex]
[tex]\implies S_{28}=114126[/tex]
Therefore, the value of the given expression to the nearest integer is 114,126.
PLEASE HELP ASAP. WILL GIVE BRAINLIEST AND 100 POINTS I NEED HELP.
6= 130
is the first 1 I'm sorry i don't the rest
please help!! answer the question below
Answer:
First one is the true statement
<TUV ~<CED
CALCULATE THE LENGTHS OF THE SIDE GJ AND SIDE HJ
answer options for both
6.5
9.2
84.5
Answer:
GJ=6.5, JH=9.2
Step-by-step explanation:
What is the area of the shape for the quilt block?
ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2
The area for the given geometric shape will be 166.5 inch² i.e. B.
What are geometric shapes, exactly?
Geometric forms are mathematical representations that represent the shape of everyday items. Geometric forms with boundary lines, angles, and surfaces are known as shapes. There are several 2d and 3d forms.
Shapes can also be classed based on their regularity or homogeneity. A symmetrical regular form, such as a square or circle, is common. Asymmetry can take on irregular shapes. They're also referred to as organic forms or freeform shapes. A tree, for example, has an irregular or organic shape.
In plane geometry, two-dimensional forms are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. In solid geometry, the three-dimensional shapes are the cube, cuboid, and sphere.
Now,
Area of the shape will be = Area of rectangle + Area of triangle
For rectangle, length=16 inch, Breadth=9 inch
For triangle, base=6 inch, height=7.5 inch
then area of shape=l*b+1/2*b*h
=16*9+1/2*6*7.5
=144+22.5
=166.5 inch²
hence,
The area for the given geometric shape will be 166.5 inch².
To know more about geometric shapes visit the link
https://brainly.com/question/10059415?referrer=searchResults
#SPJ1
Which theorem or postulate proves that â–³ABC and â–³DEF are similar?Select from the drop-down menu to correctly complete the statement.The two triangles are similar by the ________.A. AA Similarity PostulateB. SSS Similarity TheoremC. SAS Similarity Theorem
The postulate that can be used to prove that triangles ABC and DEF are similar triangles is A. AA Similarity Postulate.
What is the AA Similarity Postulate?According to the AA triangle similarity criterion, two triangles are considered similar if their three angles are identical to one another. Equi-angular triangles are comparable in a nutshell. As just two pairs of angles must be equal in order for the third pair to be automatically equal thanks to the angle sum property of triangles, the proper term for this criterion would then be the AAA(Angle-Angle-Angle) criterion. However, we refer to it as the AA criterion instead.
We have, triangles ABC and DEF with:
two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.
Therefore, the postulate that has been used to prove that the triangles ABC and DEF are similar triangles is AA Similarity Postulate.
Learn more about the AA Similarity Postulate on:
https://brainly.com/question/2166570
#SPJ1
The complete question is:
Which theorem or postulate proves that â–³ABC and â–³DEF are similar?Select from the drop-down menu to correctly complete the statement. The two triangles are similar by the ________. A. AA Similarity Postulate B. SSS Similarity Theorem C. SAS Similarity Theorem
How to convert 128 oz to gallon?
The converted values of the volume fluid ounce to gallons is given by :
128 oz = 1 gallons.
To measure the volume of any liquid fluid ounces and gallons are used as one of the standard form .Relation to convert fluid ounce to gallons in standard form is given by :
1 fluid ounce = 0.0078125 gallons
Now multiply both the side by 128 to get the required relation ,
⇒ ( 128 × 1 ) fluid ounce = ( 128 × 0.0078125 ) gallons
⇒ 128 fluid ounce = 1 gallons
Therefore, using the standard relation of fluid ounce to gallons the value of 128 oz is equal to 1 gallons .
learn more about ounce here
brainly.com/question/29374025
#SPJ4
Please assist me in this question and show working out. 25 points.
Answer:
400 m
Step-by-step explanation:
According to Pythagorean theorem, c^2 = a^2 + b^2
c^2 = 600^2 + 800^2 = 360000 + 640000 = 1000000
c = √1000000 = 1000 mm
(600 + 800) - 1000 = 1400 - 1000 = 400
Round your answer to the hundredth.
An investment in a savings account grows to three times the initial value after t years.
If the rate of interest is 5%, compounded continuously, t =
years.
If the rate of interest is 5%, compounded continuously, t =13.86
years.
According to given information :Let P be the initial value of the investment.
According to the problem, the investment grows to three times the initial value after t years. This can be expressed mathematically as:
P * e^(0.05t) = 3P
where e is the mathematical constant e (approximately 2.71828).
Simplifying this equation:
e^(0.05t) = 3
Taking the natural logarithm of both sides:
ln(e^(0.05t)) = ln(3)
0.05t = ln(3)
Dividing both sides by 0.05:
t = ln(3) / 0.05 ≈ 13.86
Rounding to the nearest hundredth, we get:
t ≈ 13.86 years.
What is Compound Interest ?Compound interest is a type of interest calculation where the interest earned on an investment is added to the principal (the initial amount invested), and then the total amount is used to calculate the interest earned for the next time period.
This means that the interest earned on an investment increases over time, as the interest earned in previous periods is added to the principal. This can result in significant growth in the value of the investment over time, particularly for long-term investments.
To know more about compound interest visit :
https://brainly.com/question/28020457
#SPJ1
car a leaves the grand canyon at noon. it travels at 80 mph, but stops at 3 pm for an hour. car b leaves the grand canyon at 2 pm and travels at 90 mph without stopping on the same route as car a. when does car b catch up with car a?
Answer:
Step-by-step explanation:
Which of these sets of ordered pairs would define a line with a negative slope?
A. (5, 5) and (0, 1)
B. (2, 3) and (-4, -1)
C. (3, 6) and (5, 1)
D. (2, 3) and (76)
From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.
To determine the slope of a line given two points, we can use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.
Let's apply the formula to each set of ordered pairs:
A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)
B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)
C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)
D. This set has only one point (2, 3) and is therefore not sufficient to define a line.
Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.
To know more about slope
https://brainly.com/question/19131126
#SPJ4
I need help for both of them
The two compositions evaluated in x = -2 are:
(r o q)(-2) = 6
(q o r)(-2) = -25
How to find the compositions of functions?Here we know the functions:
q(x)= -3x - 1
r(x) = 2x - 4
And we want to find the two compositions in x = -2
First:
(r o q)(-2) = r( q(-2))
First, evaluating q(x) in -2
q(-2) = -3*-2 - 1= 6 - 1 = 5
Then:
r( q(-2)) = r(5) = 2*5 - 4 = 6
(r o q)(-2) = 6
The second one is:
(q o r)(-2) = q(r(-2))
Evaluating r in -2 we get:
r(-2) = 2*-2 - 4 = -4 - 4 = -8
Then:
q(r(-2)) = q(-8) = -3*8 - 1 = -25
(q o r)(-2) = -25
Learn more about composition of functions:
https://brainly.com/question/10687170
#SPJ1
Yass I need help with math
Answer:hello again
Step-by-step explanation:
What is the conversion of 200lbs to kg ?
Answer: 90.718 kilograms
Step-by-step explanation:
how many decimal of 10
From the decimal theory 10 has no decimal places, as it is a whole number.
As per the data given in the above question are as bellow,
The provided details are as bellow,
We have given the number as 10.
we have to find the decimal in the given number.
Thus we have to know about decimal value.
The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
Here don't have any decimal value in the given number 10.
For such more question on decimal
https://brainly.com/question/28393353
#SPJ4
A TV that usually sells for $177. 21 is on sale for 15% off. If sales tax on the TV is 7%, what is the price of the TV, including tax?
The price of the TV, including tax, is $161.17 rounded to the nearest cent. To find the price of the TV including tax, we need to calculate the sale price of the TV after the 15% discount, add the sales tax, and then round to the nearest cent.
Here are the steps:
Calculate the sale price after the 15% discount:
Sale price = Original price - Discount amount
Sale price = $177.21 - (15% * $177.21)
Sale price = $150.63
Calculate the sales tax on the sale price:
Sales tax = 7% * $150.63
Sales tax = $10.54
Add the sales tax to the sale price:
Price including tax = Sale price + Sales tax
Price including tax = $150.63 + $10.54
Price including tax = $161.17
Therefore, the price of the TV, including tax, is $161.17 rounded to the nearest cent.
Learn more about calculating sales tax here: brainly.com/question/29442509
#SPJ4
which of the following methods can enid use to test her claim? choose the two correct answers. responses she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could calculate the ratio change in calories burned to change in miles jogged for two data point and compare the results to the same ratio with two other data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could put the data in a table and check to see that the difference between the number of calories burned changes by the same amount for each row. she could calculate the ratio between the number of calories burned for each pair of jogs and see if the ratio is always the same.
She should figure out how many calories she burned compared to how many miles she ran, which is the proper statement.
What is a ratio?When two amounts are quantitatively related, it is possible to see how many times one value contains or is contained by the other. for instance, "There are now two computers for every student."
Given here: The table containing data calories vs miles run.
Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.
Thus calculating the ratio for each pair of entries we get
1) ratio=118/1.2
=295:3a or unit rate 98.33 calories per mile
2) 190/2= 95:1 or unit rate 95 calories per mile
3) 226/2.4=565:6 or unit rate94.1
clearly, the ratios are different.
Hence, the table containing the data doesn't form a proportional relationship.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ1
What is K³+ 6k² +9k = 0
The solutions to the equation k³ + 6k² + 9k = 0 are given as follows:
k = 0 and k = -3.
How to solve the equation?The equation for this problem is defined as follows:
k³ + 6k² + 9k = 0.
Simplifying the common factor k, we have that:
k(k² + 6k + 9) = 0.
The first solution is of:
k = 0.
The second solution is obtained as follows:
k² + 6k + 9 = 0
Applying the perfect square trinomial:
(k + 3)² = 0
k + 3 = 0
k = -3.
More can be learned about solution of equations at https://brainly.com/question/1214333
#SPJ1
What type of slope and y-intercept of the line y = 1. 4x - 0. 9
the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9).
The equation of the line y = 1.4x - 0.9 is in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Comparing the given equation with the slope-intercept form, we can see that the slope is 1.4 and the y-intercept is -0.9. Therefore, the type of slope of the line is positive, as the coefficient of x (which is the slope) is positive. The y-intercept is -0.9, which means that the line intersects the y-axis at the point (0, -0.9). The y-intercept, on the other hand, is the point where the line intersects the y-axis. In the equation y = mx + b, b is the y-intercept. In the case of the given equation, we can see that the y-intercept is -0.9. This means that the line intersects the y-axis at the point (0, -0.9). The slope and y-intercept are important characteristics of a line because they can be used to graph the line and to write its equation in slope-intercept form. In addition, they can be used to calculate the x-intercept, which is the point where the line intersects the x-axis, and to determine the equation of a parallel or perpendicular line.
To learn more about slope-intercept click here
brainly.com/question/30216543
#SPJ4
What is the conversion of 48 c to f ?
The converted value of Celsius to degrees Fahrenheit using the standard formula is 48 degrees Celsius equals to 118.4 degree Fahrenheit.
Measurement units which help us to measure temperature in standard form using the units degrees Celsius and Fahrenheit .Scale factor using which we relate the two units of the temperature Celsius and Fahrenheit is equal to :
(°C × 9/5) + 32 =°F
Now , to get the value of 48 degree Celsius and converted value into Fahrenheit by applying the above formula we have,
(48°Celsius × 9/5) + 32
= ( 432 / 5 ) + 32
= ( 86.4 ) + 32
= 118.4°Fahrenheit
Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 48 degrees Celsius is equivalent to 118.4 Fahrenheit.
Learn more about converted value here
brainly.com/question/28901431
#SPJ4
Alex draws the scale model shown as a plan for a large wall mosaic.
12 cm
10 cm
Part A
The wall is 10 m wide and 7 m high. What are the dimensions of the largest mosaic
he can make on that wall? Explain.
the dimensions of the largest mosaic he can make on that wall are 840 by 700cm.
What is a rectangle?
Rectangles are quadrilaterals in the Euclidean plane of geometry that have four right angles. A closed, four-sided rectangle is a two-dimensional shape, according to a number of definitions, as is an equiangular quadrilateral. All of a rectangle's angles are exactly 90 degrees, and its opposite sides are equal and parallel to one another.
Rectangle area is equal to A = a*b.
From the given data, the dimension of the scale model shown as a plan for a large wall mosaic are: 10m =1000cm
Now the wall of width 700cm
The scale factor 700/10 =7
hence increase in width by same scale factor 70*12 = 840
Therefore, the dimensions of the largest mosaic he can make on that wall are 840 by 700cm.
Learn more about rectangular by following the link below.
brainly.com/question/25292087
#SPJ1
I need help pleaseeeeeeeeeeeeee
Answer: 69, 420
Step-by-step explanation:
grrrr
Why 55 gallon drum size?
The 55-gallon drum size is a popular choice for storing and transporting materials because it is convenient, cost-effective, and safe.
The size of the 55-gallon drum is not arbitrary. It is a standard size that has been adopted by industry and regulatory agencies for many practical reasons.
Firstly, the 55-gallon drum is a convenient size for handling and transport. It is large enough to hold a significant amount of material but still small enough to be moved around with relative ease. Its cylindrical shape makes it easy to roll and stack, which saves space and simplifies handling.
Secondly, the 55-gallon drum is a cost-effective option for storage and transport. Its size allows for efficient use of space and materials, which translates into lower costs for manufacturers and shippers.
Thirdly, the 55-gallon drum size is closely linked to regulatory standards. Many regulations and guidelines in the industry specify the use of 55-gallon drums for storing and transporting hazardous materials. This is because the size is considered to be a safe and manageable option for handling such materials.
Its dimensions have been standardized by industry and regulatory agencies, making it a common sight in many settings.
To know more about size here.
https://brainly.com/question/30704206
#SPJ4
what is 1/4 times 2/3 as a fraction
(please help! Step-by-step please! It would be greatly appreciated!)
A graph of the function,
f(x) = log₃(x - 1) + 2 is given in the image below.
What is Logarithmic?The inverse of exponentiation is the logarithm. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
A function,
f(x) = log₃(x - 1) + 2.
let y = f(x) = log₃(x - 1) + 2.
To find the y-intercept:
y = log₃(-1) + 2
y = 1.111
Therefore, the graph of the function is given in the attached image.
To learn more about the logarithms;
brainly.com/question/28346542
#SPJ1
What can be concluded when the correlation coefficient of two companies = -0.95?
a. The expected returns of the two companies are exactly opposite of each other.
b. The variances of the two companies are approximately equal to each other.
c. The state dependent returns of the two companies are approximately equal.
d. The covariance between the returns of the two companies is less than zero.
When two companies have a correlation value of -0.95, there is less than zero covariance between their returns. So statement d is correct.
The correlation coefficient is an important measure that helps to establish a relationship between two variables. Its value is mostly between +1 to -1. Therefore, the value can be positive, negative, or zero. Based on this the types of correlation are positive correlation, negative correlation, and no relation. This is calculated for the given condition using the below formula,
[tex]\text{correlation coefficient}=\frac{\text{covariance of security}}{\text{SD of security 1}\times\text{SD of security 2}}[/tex].
Here, the SD (standard deviation) is always positive, and the covariance value should be negative or less than zero so that the correlation coefficient of the two companies will be negative (as -0.95). From the given option, d is correct.
To know more about correlation:
https://brainly.com/question/22340487
#SPJ4
What is a 6 sided shape called?
Answer:
A 6-sided shape is a hexagon.
Multiply and fill in the products. Then help little Johnny find the missing number on each balloon Stairs and balloons
The solution is, Alice makes 3 bunches with 2 red balloons and 5 blue balloons.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
We are given that Alice is making balloon bunches from 6 red balloons and 15 blue balloons.
She wants the same number of red balloons and the same number of blue balloons in each bunch.
We have to find the greatest number of balloon bunches that Alice can making from all the balloons.
We will find the HCF of 6 and 15
6 = 2×3
15 = 3×5
Common factor of 6 and 15 is 3.
Hence, HCF of 6 and 15=3
Therefore, Alice makes 3 bunches with 2 red balloons and 5 blue balloons.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
solve for x (please help me)
Answer:
6
Step-by-step explanation:
∆ABC is congruent with ∆BDE
so BD/BA = DE/AC
=> 8/(8 + 16) = x/18
8/24 = x/18
24x = 8(18)
24x = 144
x = 144/24 = 6
Answer: X = 6
Step-by-step explanation:
Since the triangles are congruent (similar), then
8/24 = X/18
Cross Multiply
X x 24 = 8 x 18
24X = 144
X = 144/24
X = 6