Question

Solve for x.



A. 6
B. 7
C. 4
D. 5

Answer 1

Answer:

D

Step-by-step explanation:

$\frac{5x}{20} =\frac{45}{36}$

Cross multiply:

(5x)(36)=(20)(45)

180x = 900

divide by 180.

x=5

Answer 2

The value of x is 5.

How to find the value of x?

Δ ACE ≅ Δ BCD    (by AAA property)

Therefore

$\frac{CD}{CE} = \frac{CB}{CA}$         ( Similar triangle property)

$\frac{20}{36} = \frac{5x}{45}$

5x = $\frac{20 * 45}{36}$

5x = 25

x = 5

Therefore, option D. 5 is the correct answer

To learn more about similar triangles, refer:

https://brainly.com/question/14285697

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