Math Snap

STEP 1

Assumptions1. The two triangles are similar.
. The side lengths of the first triangle are $7x$ and $70$.
3. The corresponding side lengths of the second triangle are $120$ and $60$.

STEP 2

Since the triangles are similar, the ratios of their corresponding sides are equal. We can set up the following equation$$\frac{7x}{120} = \frac{70}{60}$$

STEP 3

implify the right side of the equation.
$$\frac{70}{60} =1.1667$$So, the equation becomes$$\frac{7x}{120} =1.1667$$

STEP 4

To solve for $x$, we can cross-multiply.
$$7x =1.1667 \times120$$

STEP 5

Calculate the right side of the equation.
$$7x =140$$

STEP 6

Finally, to solve for $x$, divide both sides of the equation by $$.
$$x = \frac{140}{}$$

Calculate the value of $x$.
$$x = \frac{140}{7} =20$$So, $x =20$.