Mathematics College

QR is parallel to ST Rs is parallel TU QS is congruent to SU

prove QRS is congruent to STU

QR Is Parallel To ST Rs Is Parallel TU QS Is Congruent To SUprove QRS Is Congruent To STU

Answers

Answer 1

Answer:

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QR Is Parallel To ST Rs Is Parallel TU QS Is Congruent To SUprove QRS Is Congruent To STU
Answer 2

As QR is parallel to ST Rs is parallel TU QS is congruent to SU the measure of their included angle is also same ∠QRS ≅ ∠STU.

What is congruency?

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Line segment QR is parallel to line segment ST.

Line segment RS is parallel to line segment TU, And line segment QS is similar to line segment SU.

So, The included angle of two pairs of parallel lines will also be the same as

line segment QS is similar to line segment SU.

∴ ∠QRS is similar to ∠STU.

learn more about congruency here :

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Related Questions

What is X 2(x+5)=3x+1

Answers

Answer:

X = 9

Step-by-step explanation:

Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive.
A. -1 B. x < -1 and x > 5
C. -5 D. X<-5 and x > 1

Answers

Given:

[tex]y=2x^2-8x-10[/tex]

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

[tex]y=2x^2-8x-10[/tex]

[tex]y=2(x^2-4x-5)[/tex]

[tex]y=2(x^2-5x+x-5)[/tex]

[tex]y=2(x(x-5)+1(x-5))[/tex]

[tex]y=2(x+1)(x-5)[/tex]

For zeroes, [tex]y=0[/tex]

[tex]2(x+1)(x-5)=0[/tex]

[tex]x=-1,x=5[/tex]

-1 and 5 divide the number line in three parts [tex](-\infty , -1),(-1,5),(5,\infty )[/tex].

Interval        Selected Value      [tex]y=2(x+1)(x-5)[/tex]                      Sign

[tex](-\infty,-1)[/tex]                -2                  [tex]y=2(-2+1)(-2-5)=14[/tex]           +

[tex](-1,5)[/tex]                     0                   [tex]y=2(0+1)(0-5)=-10[/tex]              -

[tex](5,\infty)[/tex]                       6                  [tex]y=2(6+1)(6-5)=14[/tex]                 +

So, the function is positive for interval [tex](-\infty,-1)[/tex] and [tex](5,\infty)[/tex].

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

To catch a ball, a professional baseball player leaps into the air with an initial velocity of
14 feet per second. Write a model for the height of the player above the ground after t seconds. After how many seconds does the player land on the ground? What would be the domain of this function?

Answers

Answer:

The answer is below

Step-by-step explanation:

a) The baseball player leaps into the air with an initial velocity of  14 feet per second. This means that the player leaps from the ground, the initial height is therefore zero.

The height (y) is given by the formula:

y(t) = ut - (1/2)gt² + initial heigth

u = initial velocity = 14 ft/s, t = time taken, g = acceleration due to gravity = 32 ft/s². Substituting:

y(t) = 14t - (1/2) * 32 *t² + 0

y(t) = 14t - 16t²

b) when the player is on the ground, the height = 0. hence:

0 = 14t - 16t²

16t² - 14t = 0

t(16t - 14) = 0

t = 0 or 16t - 14 = 0

t = 0 or 16t = 14

t =0 or t = 0.875

Hence t = 0.875 seconds

c) The domain is the set of possible values for the time. Hence:

Domain = (0, 0.875] = 0 < t ≤ 0.875

5x - 3 (x+3) = what to have infinitely many solutions

Answers

Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are

What is the slope of the line that passes through
the points (-5, -5) and (6, – 9)?

Will give brainliest pls answer immediately!

Answers

Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

In the diagram below, what is the approximate length of the minor arc ?
X
O A. 5.7 cm
40"
9 cm
O B. 7.1 cm
N
O C. 6.3 cm
D. 3.1 cm

Answers

Answer: c. 6.3

Step-by-step explanation:

Find the slope of the line

Answers

Answer:

1/2 is the slope

Step-by-step explanation:

By using the graph provided, you can count the lines and go up 1 and over 2. Hope this helped!

3 fifths equals how many 20

Answers

Answer:

12

Step-by-step explanation:

20/5 = 4

4 x 3= 12

3/5 of 20 is 12.

This is because 3/5*20/1=60/5 which reduces to 12.

30 POINTS!!!!!!!!!!!!!!!!!!!! HELP PLZ
A scatter plot is shown below:

A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.

Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?

(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)

Answers

Answer:

kk

Step-by-step explanation:

(0, 13) and (10,11)

Determine whether a triangle with the given side lengths is a right triangle. Side lengths: 10, 11, 15 5, 12, 13 12, 15, 20 16, 30, 34

Answers

Answer:

Step-by-step explanation: Use the Pythagorean Theorem to check this.

Remember that the squares of the lengths of the two smaller sides should be equal to the square of the bigger side.

10,11,15 = NO

5,12,13 = YES

12,15,20 = NO

16,30,34= YES

Hope this helps.

Please help I suck at this kind of math
I really only need help with number three but if you could do it ll that would be awesome

On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
1 Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points G and I on a coordinate plane. Use complete sentences to describe the strategy.
2 Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3 Use the distance formula and the coordinates of points G and I to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.

Answers

Answer:

I am sorry, I am only in middle school... I am learning about like the questions I have been asking

Step-by-step explanation:

I really hope you get the question answered and get it correct

What is the measure of an interior angle of a regular 10-gon?

Answers

Answer:

Step-by-step explanation:

The number -√44 is between which 2 integers.

Answers

Answer:

- 5 and - 7

Step-by-step explanation:

-√44 = -6.63

PLEASE ANSWER GIVING 30 POINTS

Answers

Answer:

this is only 15points but ok

Step-by-step explanation:

answer: D)

Answer:

The answer should be 15.

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex]  as the product of square roots. [tex]\sqrt{5^{2} }[/tex]   [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].

[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.

[tex]\sqrt[15]{5}[/tex]

The sum of three angle measures in a triangle is always 180°.

Answers

Answer:

YES IT IS RIGHT.......!

Write an equation of a line that has a y-intercept of 5 and passes through the point (-4,4)
I need Help please

Answers

Answer:

[tex]\huge\boxed{y= \frac{1}{4}x+5}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we have to note that with an incomplete equation, we can substitute in a point on the graph to find an unknown value.

The equation of a line is most commonly written in slope-intercept form, making it [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

We know the y-intercept, which is 5, so our equation is currently [tex]y=mx+5[/tex].

We also know that the point (-4, 4) lies on this line. Therefore, we can plug it into our formula.

[tex]4 = -4m + 5[/tex] [tex]-1= -4m[/tex] [tex]m = \frac{1}{4}[/tex]

This means that the slope of our line is [tex]\frac{1}{4}[/tex]. Plugging that into our equation as m makes the final equation

[tex]y = \frac{1}{4}x + 5[/tex].

Hope this helped!

Work out the area of the trapezium ABDE.

Answers

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

Answer:

30cm²

Step-by-step explanation:

AE/BD = CE/CD

9/6 = CE/8

CE = 9/6 x 8

CE = 12cm

DE = CE - CD

DE = 12 - 8 = 4 cm

½(6 + 9)4 = 30cm²

Write 25 x 10in standard form.

Answers

Answer:

Step-by-step explanation:

25 x 10=250

standard form is 2.5 x 10²

which expression is equivalent to 15+8x+3+2x​

Answers

Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

6) A right triangle its rotated about an axis that passes through its height as shown. Which type of object will be formed by its rotation? Describe in words or draw a picture
object will be formed by its rotation? Describe in words or draw a picture.

Answers

Answer:

a cone

Step-by-step explanation:

i got it right

Answer:

CONE

Step-by-step explanation:

what is 3/5 divide 1/3

Answers

Answer:

1 4/5

Step-by-step explanation:

Answer: 1.8


Explanation: i used the calculator

GreatestCommonFactor of 18 and 35

Answers

Answer:

1

Step-by-step explanation:

Hope this helps

What is the quotient of 154,504 divided by 28

Answers

Answer:

5518

Step-by-step explanation:

how many solutions does 4x8y=-8 x=-2y+1 have

Answers

Answer:

It has no solution

Step-by-step explanation:

I tried to figure it out but I got no solution

This is literally my hole grade and I need help this is what it looks like-

Answers

Answer:

Muhammed

Step-by-step explanation:

a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade ​

Answers

Answer:

1/4

Step-by-step explanation:

the probability  of selecting a spade: 14/52 = 1/4

Change 8 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes

Answers

Answer:

08:00

Step-by-step explanation:

Answer:

8:00

Step-by-step explanation:

12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00

If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?

Answers

Answer:73.72

Step-by-step explanation:

PLEASE HELP: A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters.


What is the volume of the prism

Answers

Answer:

330

Step-by-step explanation:

Please Help ASAP!! ❤️ ​

Answers

Answer:

Step-by-step explanation:

*a is 6:55

*b is 37

*c is 15:12

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