The triangles in the image are similar.
Solve for x.
A) 7
B) 6
C) 10
D) 5

ANSWER
A) 7
EXPLANATION
The given triangles are similar
Hence the corresponding sides are in the same proportion.
[tex] \frac{3x + 4}{30} = \frac{30}{36} [/tex]
Simplify the right hand side:
[tex]\frac{3x + 4}{30} = \frac{5}{6}[/tex]
Cross multiply;
6(3x+4)=5×30
Expand
18x+24=180
18x=150-24
18x=126
[tex]x = \frac{126}{18} = 7[/tex]