Question

find the values of the variables.
9 △def ≅ △ghf
(image of two right triangles with right angles at d and g, intersecting at f. segment df is labeled 6x, segment gf is labeled 42, and there are congruency marks on ed and gh, and right angle marks at d and g.)
x = ______

Explanation:

Step1: Match congruent sides

Corresponding sides of congruent triangles are equal, so $6x = 42$.

Step2: Solve for x

Divide both sides by 6.
$\frac{6x}{6} = \frac{42}{6}$

Answer:

$x = 7$