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3 years ago

What is the measure of c?45°56°60°66°

Mathematics

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In-s [12.5K]3 years ago

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Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago

Tony has 27 more sticker than his brother Steve.together they have 123 stickers. a write down an equation this give and b solve

Ratling [72]

The answer is 27+x=123

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Tyler is thinking of a number that is divisible by 2 and by 3. Write another number by which Tyler's number must also be divisib

Alex777 [14]

Tyler is thinking of a number that must also be divisible by 6. I know that because any number that is divisible by both 2 and 3 is divisible by 6 as well.

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What is the solution of this system of linear equations?<br>3y = 3x+6<br>27- 1x=3

Ludmilka [50]

3y=3x+6
/3 /3
y=x+2

27-1x=3
+1x +1x
27=3+1x
-3 -3
24=1x
/1 /1
24=x

y=x+2
y=24+2
y=26

the solution is 26

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4 years ago

How many times does 50 go into 102?

saw5 [17]

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What is the measure of c?45°56°60°66°​

What is the measure of c?45°56°60°66°