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.

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Related Questions

What is the total area of the shaded region? Type just the answer in the blank. ​

Answers

Answer:

240cm

Step-by-step explanation:

6cm*14cm= 84cm

6*6=36

84+36=120*2=240

Answer:

7cm x 8cm

Step-by-step explanation:

The 14cm x 12cm box (top 'box 1') intersects with the 14cm x 12cm box (bottom 'box 2').

Half the values of each side are subtracted from one another, so

horizontal length: 14/2 = 7cm

vertical length: 12/2 = 6cm

Box 2 horizontal length (total) = 14cm devided by half the length of box 1 (7cm)

14 - 7 = 7cm

Box 2 vertical length (total) = 12cm devided by half the length of box 1 (6cm)

12 - 6 = 6cm

The total area is calculated by multiplying the horizontal and vertical lengths

7x6 = 42

the answer is 42

Which sequence of transformations takes A to its image A'?
A. a translation 1 unit down followed by a reflection in the x-axis
B. a reflection in the x-axis, followed by a translation 1 unit down
C. a translation 3 units to the left, followed by a clockwise rotation 180 about the origin
D. a reflection in the y-axis, followed by a clockwise rotation 180 about the origin

Answers

Answer:

a

Step-by-step explanation:

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The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

What is mean by Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

We have to given that;

The sequence of transformations takes A to its image A'.

Now, We have;

The coordinate of A are (4, 5)

And, The coordinate of A' are (4, - 4)

Hence, The correct sequence of transformations takes A to its image A' is,

⇒ A translation 1 unit down followed by a reflection in the x-axis.

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For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!

Answers

Step-by-step explanation:

The area of a circle is given by :

A = πr²

r is the radius of the circle

(4) Diameter = 22 cm

Since, radius = diameter/2

r = 11 cm

Now, area of the circle,

[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]

(5) Diameter = 30 cm

Since, radius = diameter/2

r = 15 cm

Now, area of the circle,

[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]

(6) Diameter = 4cm

Since, radius = diameter/2

r = 2 cm

Now, area of the circle,

[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]

So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.

3x-2y=1x+4y=33 elimination process ​

Answers

Answer:

x = 5 ; y = 7

Step-by-step explanation:

3x - 2y = 1       --------------------(I)

 x + 4y  = 33 ------------(II)

Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y

(I)            3x - 2y = 1

(II)*(-3)   -3x -12y = -99         {Now add}

                 - 14y = -98

                        y = -98/14

y = 7

Plugin y = 7  in equation (I)

3x - 2*7 = 1

  3x - 14 = 1

         3x = 1 + 14

         3x = 15

           x = 15/3

x = 5

3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =

Answers

Answer:

2739

Step-by-step explanation:

3000-(52+276:8)-(1750:10)

3000-(52+34)-175

3000-86-175=2739

13 less than the product of a number and 6 is 5

Answers

Answer: Excuse me, what do you mean "and 6 is 5?"

Step-by-step explanation:

Please help me asap this is due in 10 min Ill also mark brainliest

Answers

As we know that formula of area of circle is πr²

So let's apply formula

π×8.6×8.6

=232.2

=200 is the nearest hundredth.

You have to do rest of all through this method.

1) 232.35 2) 52.81 3) 373.25

After you have opened a checking account and made a deposit, you may write
checks. A check directs the bank to deduct money from your checking account to
make a payment. Your account must contain as much money as the amount of the
check you are writing to avoid overdrawing your account.
Write each amount in words as it would appear on a check.

Answers

Answer:

kentrell top Guadlin 4kt

5/6 / 1/3 equals what ​

Answers

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

[tex]\frac{a}{b}[/tex]

[tex]\frac{c}{d}[/tex]

The division:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}[/tex]

can be done by multiplying by the reciprocal of the denominator:

[tex]\displaystyle \frac{ \frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are given the fractions 5/6 and 1/3. Their division is:

[tex]\displaystyle \frac{ \frac{5}{6}}{ \frac{1}{3}}=\frac{5}{6}\cdot\frac{3}{1}[/tex]

Simplifying:

[tex]\frac{5}{6}\cdot\frac{3}{1}=\frac{5}{2}[/tex]

Answer: [tex]\mathbf{\frac{5}{2}}[/tex]

4. A rectangle has a diagonal of 8 cm. The diagonal creates a 60° angle at the base of the rectangle.
[2]
a. Draw a picture of the rectangle
[4]
b. Write an EXACT expression for the base and the height of the rectangle.
[2]
C. Use your expressions to find the EXACT area of the rectangle.

Answers

9514 1404 393

Answer:

  a) see attachment

  b) base: 4, height: 4√3

  c) area: 16√3

Step-by-step explanation:

a) The figure is drawn in the attachment

__

b) The side lengths of a 30-60-90 right triangle have the ratio ...

  1 : √3 : 2

Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.

__

c) The area is the product of base and height:

  A = bh

  A = 4(4√3) = 16√3 . . . . square units

Look at pic and pls halp

Answers

70° because the angle between jk is 110 after subtracting 70 from 180. For angle 1, subtract 110 from 180 to get 70

30 POINTS WOWWWWWW plz answer :)

Answers

Answer:                                                                                                                                      

Step-by-step explanation:

The price of an item has been reduced by 15%. The original price was  $87.​

Answers

Answer:

The new cost is $73.95

The discount was $13. 05

Step-by-step explanation:

Turn the % into a decimal so it would be 0.15.

Then multiply it to the total, 87 x 0.15 = 13. 05

so the discount subtracted $13.05 off of the original price.

87 - 13. 05 = 73.95

Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?

Answers

180 divided by 3 = 1 minute = 60 words
1260 divided by 60= 21
21minutes

Write the slope intercept form of the equation of the line through the given points

Answers

Answer:

9) y = -3x - 4

10) y = -1/3x + 14/3

11) y = x - 1

12) y = -7/5x - 18/5

13) y = 3/5x + 9/5

14) y = -2x - 3

Step-by-step explanation:

For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!

How do you further solve this?

Answers

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

A figure has been dilated from the origin by a scale factor of one seventh. if another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

Answers

Answer:

its scale factor is 3

Step-by-step explanation:

plz mark brainliest

To map the dilated image back  onto the original figure, the scale factor needed is 7.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure by a factor.

If a figure is dilated from the origin by a scale factor of one seventh, it is given by:

(x, y) ⇒ [(1/7)x, (1/7)y]

To map the dilated image back  onto the original figure, the scale factor needed is 7. Hence:

[(1/7)x, (1/7)y] ⇒ (x, y)

Find out more at: https://brainly.com/question/11707700

Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?​

Answers

Answer:

$11.75

Step-by-step explanation:

50-38.25=11.75

Answer:

She had $11.75 in the beginning

Step-by-step explanation:

Subtract

50-38.25

you should get 11.75

hope this helps

take care

plz help me i really beg of you!

Answers

Answer:

v = -122.5

Step-by-step explanation:

1: 2.3 + v/7 = -15.2

2: v/7 = -17.5

3: v = -122.5

Step 1: This is the given equation

Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v

Step 3: both sides of the equation were multiplied by 7 to get v = -122.5

Answer:

245 over 2

Step-by-step explanation:

just use a calculator and you should be able to get the question right

Andre purchased 1 quart of lemonade
from a concession stand for $1.50.
Which shows the rate for 6 quarts of
lemonade?

Answers

Answer:

7

Step-by-step explanation:

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?

Answers

Answer:

37.7

Step-by-step explanation:

C = 2 pi r

C= πd

12× 22/7

= 264/7

= 37.71cm

Solve for “z.”

Please help!

Answers

Answer: Z=5

Step-by-step explanation:

Solve the rational equation by combining expression and isolating the variable z

A circular light fixture has a radius of 20 centimeters.what is the circumference of the light fixture

Answers

Answer:

[tex]\boxed {\boxed {\sf 40 \pi \ cm, 125.6 \ cm, or \ 125.6637061 \ cm}}[/tex]

Step-by-step explanation:

Circumference can be found by multiplying the diameter of the circle by pi.

[tex]c= \pi d[/tex]

We are given the radius, which is 20 centimeters. We need the diameter, which is twice the radius.

[tex]d= 2r[/tex]

[tex]d= 2(20 \ cm)[/tex]

[tex]d= 40 \ cm[/tex]

Substitute the diameter into the formula. There are many ways to calculate circumference, so I included a few options.

1. In Terms of Pi

If we solve in terms of pi, we leave π in the answer.

[tex]c=\pi ( 40 \ cm)[/tex]

[tex]c= 40 \pi \ cm[/tex]

2. Using 3.14 as Pi

[tex]c=\pi ( 40 \ cm)[/tex]

Substitute 3.14 in for pi.

[tex]c= (3.14)(40 \ cm)[/tex]

[tex]c=125.6 \ cm[/tex]

3. Using 3.14159 as PI

[tex]c=\pi ( 40 \ cm)[/tex]

Use the pi button on a calculator.

[tex]c= 125.6637061 \ cm[/tex]

The circumference of the light fixture is 40π, 125.6 cm, or 125.6637061 cm

Solve to find X. 3 ≥ -3x

Answers

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

5-4x=23
What's the value of x and please show your work. ​

Answers

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5-4x=23 |-5

5-4x-5=23-5

-4x=18 |*(-1)

4x=18 | /2

2x=9 |/2

x=9/2 or 4.5

Answer:

x = 4.5

Step-by-step explanation:

Subtract 5 from BOTH sides to start with:

5-5 = 0 (5 cancels out on left side) 23-5 = 18

New Equation: -4x = 18

Divide BOTH sides by -4

4 cancels out (x is left) 18/4 = 4.5

New: x = 4.5

the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet

Answers

Answer:

vbhjnkmlnkbjvhcgfdxgcvhbjnncnng

Step-by-step explanation:

cxvcxbvcbcvbvcbcvbvcvbb

Answer:

thanks

Step-by-step explanation:

In a basketball game Jamarcus made 15 out of 25 shots and tyrell made 32 out of 50 shots who’s the better shooter

Answers

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

How many fewer 14 starfish are there than 16 jellyfish and 4 sharks

Answers

Answer:

6 fewer starfish

Step-by-step explanation:

16+4=20

20-14=6

6 fewer starfish are there.

All the factors of 7 are also factors of 14. True or False?

Answers

Answer:

true

Step-by-step explanation:

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