Question

The triangles are similar. What is the value of x? Enter your answer in the box.

Answer 1

Answer:

$\boxed{\boxed{x=4}}$

Step-by-step explanation:

If the triangles are similar, then the sides are in proportion.

We have the equation:

$\dfrac{3x+8}{4}=\dfrac{15}{3}$             cross multiply

$3(3x+8)=(4)(15)$          divide both sides by 3

$3x+8=(4)(5)$

$3x+8=20$           subtract 8 from both sides

$3x=12$           divide both sides by 3

$\boxed{x=4}$

Answer 2

Answer:

x=4

Step-by-step explanation:

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