Question

The triangles are similar.

What is the value of x?

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Answer 1

The lengths of corresponding sides of similar triangles are in the same ratio.

$\dfrac{28}{7} = \dfrac{6x + 28}{25}$

$4 = \dfrac{2(3x + 14)}{25}$

$2 = \dfrac{3x + 14}{25}$

$50 = 3x + 14$

$36 = 3x$

$12 = x$

$x = 12$

Answer 2

Answer:

The value of x is 12.

Step-by-step explanation:

It is given that both triangles are similar.

If two triangles are similar, then their corresponding sides are equal.

$\frac{96}{24}=\frac{28}{7}=\frac{6x+28}{25}$

$4=4=\frac{6x+28}{25}$

$4=\frac{6x+28}{25}$

Multiply both sides by 25.

$25\times 4=6x+28$

$100=6x+28$

Subtract both sides by 28.

$72=6x$

Divide both sides by 6.

$\frac{72}{6}=x$

$12=x$

Therefore the value of x is 12.