Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

value: 3 solve for x. 3 6 5 x a. 24 b. 10 c. 16 d. 8 #3/6 < prev next >

Question

value: 3
solve for x.
3
6
5
x
a. 24
b. 10
c. 16
d. 8
#3/6
< prev
next >

Explanation:

Step1: Use similar - triangles property

The two triangles are similar. So, $\frac{3}{3 + 5}=\frac{6}{6 + x}$.

Step2: Cross - multiply

$3(6 + x)=6\times(3 + 5)$.

Step3: Expand and solve

$18+3x = 48$, then $3x=48 - 18=30$, and $x = 10$.

Answer:

B. 10