On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope
between points E and A is the same as the slope between points A and C.

Part A
Which angles of the triangles measure 90°?

Part B
To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal.
Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?

Part C
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?

Part D
Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior
angles)?

Part E
Are the two triangles congruent? Why or why not?

Part F
Are the two triangles similar? Why or why not?

Part G
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?

Part H
Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?

Part I
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or
why not? What does that mean about the slope between points E and A and the slope between the points A and C?

1. A

2. A

3. D

4. A

5. D

6. A

7. B

8. C

9. D

Answer:

a = 58

Step-by-step explanation:

90-32=58

HOPE THIS HELPS :)

100.8

6/2.5=2.4

2.4×42=100.8

Answer:

i think 2nd one is true....f(-2)=g(-2)

Answer:

A is correct: [tex]f(0)=g(0)[/tex]

Step-by-step explanation:

To find this answer, we first must identify what [tex]f(x)[/tex] and [tex]g(x)[/tex] means.

[tex]f(x)[/tex] shows the y value of the line at the specified x value.

[tex]g(x)[/tex] shows the y value of the line at the specified x value.

So in order to solve this problem, we must look at each of the options and see which one is true.

If we take a look at the first option...

[tex]f(0)=-2[/tex] in this example and [tex]g(0)=-2[/tex] as well.

[tex]-2=-2[/tex] and therefore, option A is correct.

Hold on, our servers are swamped. Wait for your answer to fully load.        Step-by-step explanation:

Answer:

[tex]y < \frac{1}{3}x + 2\\y \leq -2x + 2[/tex]

Step-by-step explanation:

The equation of a line can be simply found via slope-intercept form-y = mx+b,

where m is the slope and b is the y-intercept.

Answer:

y- intercept = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c

To find c substitute (- 3, 7 ) into the equation

7 = - [tex]\frac{4}{3}[/tex] (- 3) + c

7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept

Answer:

1/2

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)

my bad i read it wrong hold up

Answer:

CD and EF .....................

Answer:

Answer:x =6

Answer:x =6Step-by-step explanation:

Angle in a triangle is 180

75+ (7x+14) +49 =180

75+ 49+ (7x+14)= 180

124+ (7x+ 14) = 180

124+ 14 +7x= 180

138+7x = 180

7x =180- 138

7x=42

x= 6

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

Answer:

sjsjsjsddxsssssd

Step-by-step explanation:

ejdjenxxdxgrsxswe

Answer: it is going to be answer a

Answer:

144in

Step-by-step explanation:

METHOD 1:

18 - 36

x - 48

36x = 18 * 48

36x = 864

x = 24

ALTERNATIVE METHOD:

18:36 (breadth:length)

1:2

When the length is 48in, the breadth is half the length, hence, the breadth is 24in.

Final Solution:

So, when the base is 48in, the width is 24in.

Since we have the two values

P = 2(l+b)

= 2(48+24)

= 2 * 72

= 144in

Feel free to mark this as brainliest! :D

Answer:

S^2 = ((9 - (-3))^2 + ((3 - (-2))^2 = 12^2 + 5^2 = 169

S = (169)^1/2 = 13

Answer:

dagdagan mo hoy daya

Step-by-step explanation:

1733

Answer:

the first one ⇒ -27/20

Step-by-step explanation:

hope this helps :)

Answer:

-27/20

Step-by-step explanation:

Step 1: Flip the division symbol into a multiplication symbol, and flip the fraction -4/9.

Step 2: Multiply.

Therefore, the answer is -27/20.

Answer:

wouldnt it be y=4?

Step-by-step explanation:

Answer:

You are correct! :)

Extra tip:

It can also be written like 'C = 2πr' and that works just as well!

Answer:

circumference=2πr formula 2×22/7×r

Answer:

it was viewed as the perfecto spot for trade

Answer:

a

Step-by-step explanation:

Answer: Answer in Photo

76y = 19

Divide both sides by 76

y = 19/76

Simplify 19/76 by dividing by the GCF of 19 and 76, which is 19. 76 divided by 19 is 4.

y = 1/4

Hope this helps!! :)

Answer:

[tex]x=6\\y=12[/tex]

Step-by-step explanation:

To find the value of x you can use sin rule

[tex]sin(60)=\frac{oppoaite}{hypotenuse}\\\frac{\sqrt{3} }{2} =\frac{x}{4\sqrt{3} } \\[/tex]

Use cross multiplication

[tex]4*\sqrt{3} *\sqrt{3} =2x\\4*3=2x\\12=2x\\\frac{12}{2} =\frac{2x}{2} \\6 =x[/tex]

To find the value of y you have to use sin rule again

[tex]sin(30)=\frac{opposite}{hypotenuse}\\\frac{1}{2} =\frac{x}{y} \\\frac{1}{2} =\frac{6}{y} \\[/tex]

Use cross multiplication

[tex]y=6*2\\y=12[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

He had been in a hospital with friends since his birth