Question

1. if △cow ≅ △pig and $overline{co}=24$, $overline{cw}=18$, $overline{ig}=23$ and $overline{pg}=7x - 17$, find x and pg. setup: x= (exact form) pg=

Explanation:

Step1: Use congruent - side property

Since $\triangle COW\cong\triangle PIG$, corresponding sides are equal. $\overline{CW}$ corresponds to $\overline{IG}$ and $\overline{CO}$ corresponds to $\overline{PI}$, and $\overline{OW}$ corresponds to $\overline{IG}$. Also, $\overline{PG}=\overline{CW}$.
So, $7x - 17=18$.

Step2: Solve for x

Add 17 to both sides of the equation $7x - 17=18$:
$7x=18 + 17$,
$7x=35$.
Divide both sides by 7: $x = 5$.

Step3: Find PG

Substitute $x = 5$ into the expression for $PG$.
$PG=7x-17$,
$PG=7\times5 - 17$,
$PG=35 - 17$,
$PG = 18$.

Answer:

setup: $7x - 17=18$
$x = 5$
$PG=18$