Answer:
yes
Step-by-step explanation:
What are the answers to this proof
Note that the complete proof that ∠A ≅ ∠D is given as follows:
What does the Alternate Interior Angles Theorem state?
Note that the Alternate Interior Angles Theorem states that when two parallel lines are crossed by a transversal, the alternate interior angles are congruent.
The Basic Proportionality Theorem states that in a triangle, a line parallel to one side divides the other sides proportionally.
The Vertical Angles Theorem states that vertical angles are congruent.
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Please help asap! BAC~DEC x=___ units?
Answer:
x = 3 units
Step-by-step explanation:
These two triangles are similar figures, which means the ratio of the lengths of their corresponding sides are equal:
[tex]\frac{Side AB}{Side AC} = \frac{Side DE}{Side CE}[/tex]
= [tex]\frac{24}{2x} = \frac{56}{3x + 5}[/tex]
Cross-multiplication is applied:
= [tex](24)(3x + 5) = (56)(2x)[/tex]
Parenthesis are expanded by using the Distributive Law:
= [tex]72x + 120 = 112x[/tex]
Bring all the like terms together and then isolate x:
= [tex]120 = 112x - 72x[/tex]
= [tex]120 = 40x[/tex]
= x = [tex]\frac{120}{40}[/tex]
∴ x = 3 units
how do u get 598 x 9 when ur estimating numbers to find the product
The estimated product is 6000
What is estimation?
To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.
Estimation is the process of approximating a quantity with the necessary accuracy.
The result is quickly and roughly determined by rounding off the numbers used in the calculation.
To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.
598 ≈ 600
9≈ 10
600*10
= 6000
The estimated product is 6000
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Consider the toss of a pair of dice what is the probability that the total number of dots appearing on top is 7
The probability of rolling a 7 with a pair of dice is 1/6. This is because there are six possible combinations that add up to 7.
Each of these combinations has an equal probability of occurring, so the probability of rolling a 7 is 1/6. (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).
To explain further, when two dice are rolled, there are 36 possible outcomes, each with an equal probability of occurring. Of the 36 outcomes, 6 of them will result in the total number of dots appearing on top being 7. Since 6 out of 36 outcomes result in a 7, the probability of rolling a 7 is 6/36 or 1/6. This means that if two dice are rolled 36 times, there is a 1 in 6 chance that the total number of dots appearing on top will be 7 at least once.
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5. A trapezoid has an area of 402.8 square meters
The bases are 14.6 meters and 35.4 meters.
Write an equation to determine the height
of the trapezoid.
I need help ASAP
The equation for the height of the trapezoid is 402.8 = (1/2)h(14.6 + 35.4)
How to determine the equation for the heightThe formula for the area of a trapezoid is:
A = (1/2)h(b1 + b2)
where A is the area, h is the height, b1 and b2 are the lengths of the two bases.
We can use this formula to write an equation to determine the height of the trapezoid
When the known values are substituted, we have
402.8 = (1/2)h(14.6 + 35.4)
Hence, the equation is 402.8 = (1/2)h(14.6 + 35.4)
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how to calculate z table online?
To calculate z table online we put Raw Score, Population Mean, Standard Deviation, σ then calculator give us answer.
A z-table, also called a standard normal table or unit normal table, is a table of standardized values used to determine the probability that a given statistic is below, above, or below the standard normal distribution. A z-score of 0 indicates that the given point is the same as the mean. Therefore, on the graph of the standard normal distribution, z = 0 is the midpoint of the curve. A positive Z value indicates that the point is to the right of the mean, and a negative Z value indicates that the point is to the left of the mean. There are several different types of Z-tables. The values in the table below represent a range from z=0 to a specific z-score.
Z Means table (0 to Z)
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1 meter how many feet
The 1 meter is 3.28084 feet.
Since 1983, the meter has been internationally defined as the length of the path traveled by light in a vacuum in 1/299,792,
58 seconds. This definition can be applied easily and precisely with modern techniques, and the speed of light is considered a universal constant, making it an ideal basis for a standard of length.
foot, plural of feet, measured by a number of ancient, medieval and modern linear measurements (usually 25–3
cm) based on the length of a human foot, used exclusively in English-speaking countries, where it usually consists of 12 inches. , or a third of a yard.
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How to convert 1.5 liters to gallons?
1.5 liter is 0.396258 gallons.
A gallon is a unit of volume in imperial units and US standard units. Three different versions are currently in use:
imperial gallon (imp gallon), defined as
.5
609 liters, is or was used in Great Britain, Ireland, Canada, Australia, New Zealand and some Caribbean countries;
US gallons (US gallon), defined as 3.785
1178
L,[1] (231 cubic meters), used in the United States and some Latin American and Caribbean countries; and
US dry gallons ("usdrygal"), defined as 1⁄8 US Bushel (exactly
.
0
88377086 L).
There are two pints in a liter and four liters in a gallon. Different sized pints correspond to different sized imperial and US gallons.
The IEEE standard symbol for both US (liquid) and imperial gallons is gal [2], different from gal (symbol: Gal), the CGS unit of acceleration.
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1.
Enter the answer and also provide a 1 sentence explanation that describes how you determined your answer.
The length of JI is equal to 6 cm (i.e., JI = 6 cm) since J is the midpoint of line segment KI.
Describe Line Segment?In geometry, a line segment is a part of a line that has two endpoints. It is a straight path that connects two points, and it is the shortest distance between those two points. A line segment is named by its two endpoints, and the symbol “‾‾” is placed over the two endpoints to denote that it is a line segment.
Line segments can be measured, and their lengths can be calculated by using the distance formula, which is based on the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane is given by:
[tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Line segments are important in many areas of geometry and mathematics. They are used to define shapes and figures, to measure distances, and to calculate areas and volumes. In trigonometry, line segments are used to define angles, and they are also used to calculate the length of sides in right triangles.
Line segments can be compared and classified based on their lengths. A line segment that has the same length as another line segment is said to be congruent to it. Line segments can also be classified as equal (having the same length), longer or shorter than others, and parallel or intersecting.
By definition, the midpoint of a line segment divides the line segment into two equal parts. Since J is the midpoint of KI, it means that KJ is equal in length to JI, and therefore JI is also 6 cm.
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At a hockey game, a vender sold a combined total of 172 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Therefore , the solution of the given problem of linear equation comes out to be 129 sodas were sold.
What exactly is a linear equation?The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. The preceding line indicates independent components, yet is commonly referred to as a "math equation combining many variables". In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b.
Here,
Let's start by defining some variables. Let s be the number of sodas sold and h be the number of hot dogs sold.
We know from the problem that:
s + h = 172 (the total number of sodas and hot dogs sold)
s = 3h (the number of sodas sold is three times the number of hot dogs sold)
We can substitute the second equation into the first equation to eliminate s and get an equation in terms of h:
3h + h = 172
4h = 172
h = 43
So, 43 hot dogs were sold. We can then use the second equation to find the number of sodas sold:
s = 3h = 3(43) = 129
Therefore, 129 sodas were sold.
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y=-5x-1 or y=-2x-7 show work how to find which equation is steeper pleasee?
The equation y = -5x - 1 is steeper than the equation y = -2x - 7.
Define steeper.In mathematics, the relative slope or rate of change of two lines or curves is referred to as "steeper." If one line or curve's slope or rate of change is larger than another, it is said to be steeper than the other.
To compare the steepness of two linear equations, we can look at their slopes, which represent the rate of change of the dependent variable (y) with respect to the independent variable (x). The slope of a line is given by the coefficient of x in the equation y = mx + b, where m is the slope.
Let's compare the slopes of the two equations:
y = -5x - 1: The coefficient of x is -5, so the slope is -5.
y = -2x - 7: The coefficient of x is -2, so the slope is -2.
Since the slope of the first equation (-5) is greater in magnitude than the slope of the second equation (-2), we can conclude that the first equation is steeper than the second equation.
Alternatively, we can look at the absolute values of the slopes. The absolute value of the slope of the first equation is 5, which is greater than the absolute value of the slope of the second equation, which is 2. This confirms that the first equation is steeper than the second equation.
Therefore, the equation y = -5x - 1 is steeper than the equation y = -2x - 7.
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A rectangular garden measures by 21ft by 39ft . Surrounding (and bordering) the garden is a path 2ft wide. Find the area of this path.
The area of the path is 256 square feet.
What is the area of rectangle?
The area of a rectangle is given by the formula:
Area = length x width
where "length" and "width" are the dimensions of the rectangle. To find the area of a rectangle, simply multiply the length by the width.
To find the area of the path surrounding the rectangular garden, we need to subtract the area of the garden from the area of the larger rectangle that includes the path. The larger rectangle measures 25 feet by 43 feet.
Area of the larger rectangle = 25 ft * 43 ft = 1075 sq ft
Area of the garden = 21 ft * 39 ft = 819 sq ft
So, the area of the path surrounding the garden is:
Area of the larger rectangle - Area of the garden = 1075 sq ft - 819 sq ft = 256 sq ft
Hence, the area of the path is 256 square feet.
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what is mm to meters?
The method to convert milimeter to meters will be through multiplication of [tex] {10}^{-3} [/tex] with the quantity in milimeter.
The abbreviation mm is representative of milimeters. Now, we know that milimeters is 1/1000 meters and hence is smaller unit in comparison to meters.
Based on the above mentioned fact, we can multiply the same number (smaller unit) with negative exponent. It will be carried out like this -
Quantity in meters = quantity in milimeter ×
[tex] {10}^{-3} [/tex], where [tex] {10}^{-3} [/tex] has negative exponent. Let us say we have 10⁹ milimeters and need to convert in into meters.
So, quantity in meter = 10⁹ × [tex] {10}^{-3} [/tex],
Performing multiplication which will be done through subtraction of powers
Quantity in meters = 10⁶ meters
Hence, mm to meters will be multiplication with [tex] {10}^{-3} [/tex].
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Zach's living room is 8 yards wide and 9 yards long. He wants to install green carpet that costs $7. 00 per square yard. How much will it cost to buy enough carpet for the living room?
The cost will be $504.00 to buy enough carpet for Zach's living room.
To determine the cost of the carpet for Zach's living room, we first need to calculate the area of the room. The area of a rectangle is found by multiplying the length by the width. In this case, the length is 9 yards and the width is 8 yards:
Area = 9 yards × 8 yards = 72 square yards
Now that we know the area of the room, we can calculate the cost of the carpet. The carpet costs $7.00 per square yard, so we multiply the area of the room by the cost per square yard:
Cost = 72 square yards × $7.00 per square yard = $504.00
Therefore, it will cost $504.00 to buy enough carpet for Zach's living room.
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How to convert 122 lbs to kg?
The value of 122 pounds using conversion factor of 0.453592 kilograms is equal to 55.3382 kilograms .
Converting factor used to convert pounds to kilograms is equal to :
1 pounds = 0.453592 kilograms ___( 1 )
Pounds and the kilograms are the units used to calculate the measurement of mass of any given body.Now multiply both the side of equation ( 1 ) by 122 to get the value of 122 pounds we have,
⇒ ( 122 multiply by 1 ) pounds = ( 122 multiply by 0.453592 ) kilograms
⇒ 122 pounds = 55.338224 kilograms
⇒ 122 pounds = 55.3382 kilograms
Therefore, the value after converting pounds to kilograms for 122 pounds is equal to 55.3382 kilograms .
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please help me as soon as possible
a). The expression which correctly represents the length of the rectangular area is; 4x - 5.
b). The product of the length and width of the rectangle is; (4x - 5) 3x = 12x² - 15x.
What is the length of the rectangular area?Recall; for rectangles;
Area = length × width
Therefore, Length= Area / Width
Length = 12x² - 15x / 3x
Length = 4x - 5
Therefore, the expression which represents the length is; 4x - 5.
b) By multiplying the length and width of the rectangular area; we have;
Area = (4x - 5) 3x
= 12x² - 15x
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A car takes 2 hours to cover the distance between 2 cities. If her average speed decreased by 20 km/h, it would take 30 minutes longer. What is the distance between the two cities?
(Only accurate answers please)
Answer:
200 km
Step-by-step explanation:
Let's use the formula:
distance = rate × time
Let the original average speed of the car be r km/h, and let the distance between the two cities be d km.
According to the problem, the car takes 2 hours to cover the distance, so we have:
d = r × 2
If the car's average speed decreased by 20 km/h, its new average speed would be (r - 20) km/h. If it took 30 minutes (0.5 hours) longer to cover the same distance at the slower speed, we have:
d = (r - 20) × 2.5
Now we have two equations for d:
d = r × 2
d = (r - 20) × 2.5
We can solve for r in the first equation:
r = d / 2
Substituting into the second equation:
d = (d/2 - 20) × 2.5
Simplifying:
d = 1.25d - 50
0.25d = 50
d = 200
Therefore, the distance between the two cities is 200 km.
꧁༒αηѕωєяє∂ ву gσ∂кєу༒꧂
two vectors are linearly dependent if and only if they are collinear.
true
false
Use the diagram to complete the statements.
The angle of depression from point R to point S is angle
.
The angle of elevation from point S to point R is angle
.
Angle 2 is the angle of elevation from
.
Angle 1 is the angle of
.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
What is an angle of elevation?
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
There is an angle of elevation from point R to S. Thus point R is lie above S.
The angle of depression from point R to point S is ∠1.
The angle of elevation from point S to point R is ∠2.
∠2 is the angle of elevation from S to R.
∠1 is the angle of depression from point R to point S.
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Please help me! due at midnight!
Question is in the image thank you very much i appreciate it.
Therefore , the solution of the given problem of function comes out to be is that the function approaches negative infinity as x approaches positive or negative infinity.
Describe function.The mathematics curriculum covers the study of number and their variable as well as our surroundings, architecture, and both actual and hypothetical locations. The link between the amounts of inputs as well as the associated outputs for each is shown graphically by a function. A function is, to put it simply, a group of inputs whose, when combined, result in particular outputs for every input. Each role is assigned a region, locale, or range .
Here,
Given :
f(x) = -x² + 14x³ - 24x⁷ - 10x¹² + 22x⁴ - 18x¹¹ + 4x⁴ +21
To describe the end behavior of the given polynomial function f(x), we only need to consider the term with the highest degree, which is - 10x¹²
Since the degree of the term is even and the coefficient is negative, we know that as x approaches positive or negative infinity, the function will also approach negative infinity.
Therefore, we can say:
As x to -∞, f(x) to - ∞
As x to +∞, f(x) to-∞
So the end behavior of the function
f(x) = -x² + 14x³ - 24x⁷ - 10x¹² + 22x⁴ - 18x¹¹ + 4x⁴ +21
is that the function approaches negative infinity as x approaches positive or negative infinity.
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If the puppy is tired, then he will sleep.
Using the statement above, first state your variables in terms of p and q and which variable represents which statement. Then write this statement in symbolic form.
Answer:
Variable p represents "the puppy is tired", and variable q represents "the puppy will sleep".
The statement in symbolic form is: p → q, where the symbol → means "implies" or "if...then".
help pls i have a bad grade in this class AKA Math
Answer:
D
Step-by-step explanation:
draw a right triangle, with the segment being the hypotenuse. Use Pythagorean theorem to calculate.
to use pythagorean Theorem
Step-by-step explanation:
The Pythagorean Theorem is a formula that allows you to calculate the distance between two points in a coordinate plane. It states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In the case of two points on a coordinate grid, the distance between them is the length of the hypotenuse of the right triangle formed by the horizontal and vertical distances between the two points.
Given that the roots of the equation x^2-8x+k=0 satisfy 3x_1+4x_2=29, Find K
Answer:
The answer is: K = 14.
what is 15/32 in inches?
15/32 inches is equivalent to 11.90625 mm
Unit conversion is the process of converting a quantity from one unit of measurement to another. The unit conversion method involves multiplying the original quantity by a conversion factor that expresses the relationship between the original unit and the desired unit.
1 inch = 25.4 mm
1 mm = 0.1 cm
We have 15/32 inch
Converting the fraction into decimal part, we obtain 0.46875 inch
Now, 0.46875 inch = 0.46875 * 25.4 mm
= 11.90625 mm
= 11.90625 * 0.1 cm
= 1.190625 cm
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coterminal angles can have different angle measures
Coterminal angles can have different angle measures.
Therefore the answer is True.
Coterminal angles are angles that have the same initial and terminal sides, but may differ in their angle measures. To find a coterminal angle, you can add or subtract a multiple of 360 degrees or 2π radians to the original angle.
For example, an angle of 45 degrees is coterminal with an angle of 405 degrees (45 + 360), as well as an angle of -315 degrees (45 - 360). Similarly, an angle of π/4 radians is coterminal with an angle of 9π/4 radians (π/4 + 2π), as well as an angle of -7π/4 radians (π/4 - 2π). Coterminal angles are useful in trigonometry and calculus when working with periodic functions, as they allow for simplification and generalization of calculations.
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--The question is incomplete, answering to the question below--
"Coterminal angles can have different angle measures. T or F."
Whai is 100 days ago?
The date which is 100 days ago from 12 February 2023 is equal to
November 04, 2022 .
Ago represents the earlier than the given present time.Present date is equal to 12 February 2023.
Date which is 100 days is written as :
January month has 31 days.
December month has 31 days.
November month has 26 days.
Total days equal to :
( 31 + 31 + 26 + 12 ) days = 100 days
100 days ago from 12 February 2023 is equal to :
12 February 2023 minus 100 days is 04 days 2022.
Therefore, the day which is 100 days ago from 12 February 2023 is given by November 04, 2022 .
The above question is incomplete , the complete question :
What is 100 days ago from 12 February 2023 ?
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there are 49 boxes of pencils in the supply closet each box contains 72 pencils how many pencils are there in all
Answer:
3528
Step-by-step explanation:
49*72=3528
Answer:
Step-by-step explanation:
49x 72
What is the name of the equation for the regression line?
The name of the equation for the regression line is the Regression Equation.
Regression Line:
Regression is a statistical technique used in finance, investing, and other fields that attempts to determine the strength and nature of the relationship between one dependent variable (usually denoted Y) and several other variables (called independent variables).
Simple linear regression:
Y = a + bX+ u
Multiple linear regression:
Y = a + b₁ X₁ + b₂ X₂ + b₃ X₃ +..... + bₙ Xₙ +u
where:
Y = The dependent variable that can be predicted.
X =The independent variables that are used to predict
a = The y-intercept
b (beta coefficient) = is the slope of the independent variable(s)
u = The error term
Regression equation:
Regression equations are used in statistics to determine if there is any relationship between data sets. For example, if you measure a child's height every year, you'll find that they grow about 3 inches each year. This trend (growth of 3 inches per year) can be modeled using a regression equation. In fact, most things in the real world (from oil prices to hurricanes) can be modeled with a few equations. You can predict future events.
There are several types of regression equations. Some of the more common ones include exponential and simple linear regression (to fit data to an exponential or linear equation). The regression equation most likely to be encountered in elementary statistics takes the form of a linear one.
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Quadrilateral MATH has both pairs of opposite sides congruent and parallel. Which statement about quadrilateral MATH is always true
A. MT is congruent to AH
B.MT is perpendicular to AH
C.
D.
Since quadrilateral MATH has opposite sides congruent and parallel, it is a parallelogram.
In a parallelogram, opposite sides are parallel and congruent, but the opposite angles are also congruent.
Therefore, we can say that angle M is congruent to angle H, and angle A is congruent to angle T.
Option A states that MT is congruent to AH, which is not always true for a parallelogram.
Option B states that MT is perpendicular to AH, which is also not always true for a parallelogram.
Option C states that angle MHT is congruent to angle ATH. Since angle M is congruent to angle H and angle A is congruent to angle T, we can say that angle MHT is congruent to angle ATH. This is always true for a parallelogram, as opposite angles are congruent.
Option D states that angle MAT is congruent to angle MHT. This is not always true for a parallelogram. While angle MHT is congruent to angle ATH (as explained in Option C), there is no reason to assume that angle MAT is congruent to angle MHT.
Therefore, the correct answer is: C. Angle MHT is congruent to Angle ATH.
16. Aiden started a savings account with $250. He makes a deposit after he receives his
paycheck each month. After one month, he has $586. The next month the balance is $922.
The balance after the third month is $1,258. How much money will he have in his account
after 8 months?
Answer:
Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.
He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.
Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.
Hope this helps!