Question

if $\triangle cow cong \triangle pig$, and $co = 25$, $cw = 18$, $ig = 23$ and $pg = 7x - 17$, find $x$ and $pg$.

Explanation:

Step1: Match congruent sides

Since $\triangle COW \cong \triangle PIG$, corresponding sides are equal: $CW = PG$.

Step2: Substitute known values

Substitute $CW=18$ and $PG=7x-17$:
$18 = 7x - 17$

Step3: Solve for x

Add 17 to both sides:
$18 + 17 = 7x$
$35 = 7x$
Divide by 7:
$x = \frac{35}{7} = 5$

Step4: Calculate PG

Substitute $x=5$ into $PG=7x-17$:
$PG = 7(5) - 17 = 35 - 17$

Answer:

$x = 5$, $PG = 18$