Question

question 21 of 25
what is the value of x in the diagram below?
12
54
2
x
a. 9
b. 7
c. 8
d. 6

Explanation:

Step1: Identify similar triangles

The two right triangles are similar (same angles, scaled sides).

Step2: Set up proportion

Corresponding sides are proportional: $\frac{12}{2} = \frac{54}{x}$

Step3: Simplify and solve for x

Simplify $\frac{12}{2}=6$, so $6 = \frac{54}{x}$. Rearrange to $x = \frac{54}{6}$

Step4: Calculate final value

$x = 9$

Answer:

A. 9