Question

the triangles are similar. find the value of x. 49 39 35 33 clear my selection

Explanation:

Step1: Identify corresponding sides

Since the triangles are similar, the ratios of corresponding sides are equal.

Step2: Set up proportion

$\frac{40}{56}=\frac{25}{35}=\frac{x}{49}$
We can use $\frac{40}{56}=\frac{x}{49}$ (or $\frac{25}{35}=\frac{x}{49}$). Let's use $\frac{40}{56}=\frac{x}{49}$. Cross - multiply: $56x = 40\times49$

Step3: Solve for \(x\)

$x=\frac{40\times49}{56}$
$x=\frac{40\times7}{8}$ (divide numerator and denominator by 7)
$x = 35$

Answer:

35