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3 years ago

What is the length of DE?

Mathematics

2 answers:

Andrew [12]3 years ago

7 0

Answer:

The length of DE is 5 because they are similar triangle .

Drupady [299]3 years ago

4 0

<h3>Answer: B. 6</h3>

Explanation:

The triangles are similar. We can use the SAS similarity theorem to prove that claim.

Because the triangles are similar, the corresponding sides form a proportion like shown below

12/8 = 9/x

12x = 8*9 ... cross multiply

12x = 72

x = 72/12

x = 6 which is why the answer is choice B

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3 years ago

9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE

lara31 [8.8K]

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Further explanation:

The general form of equation of line is:

$y=mx+b$

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}$

Putting the value of slope in general form

$y=\frac{2}{3}x+b$

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

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Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Keywords: Equation of line, Pount-slope form

Learn more about point-slope form at:

#LearnwithBrainly

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