Question

in the image, △car≅△box. determine if the following is true or false. (hint solve for x, y, and z.) x = 34, y = 18, z = 2

Explanation:

Step1: Set equal corresponding sides

Since $\triangle CAR\cong\triangle BOX$, we have $AR = OX$. So, $11x - 2=20$.
Solve the equation $11x-2 = 20$ for $x$:
Add 2 to both sides: $11x=20 + 2=22$.
Divide both sides by 11: $x=\frac{22}{11}=2$.

Step2: Set equal another pair of corresponding sides

We also have $CA=BO$. So, $5y - 3=67$.
Solve the equation $5y-3 = 67$ for $y$:
Add 3 to both sides: $5y=67 + 3=70$.
Divide both sides by 5: $y=\frac{70}{5}=14$.

Step3: Check the given values

The given values are $x = 34$, $y = 18$, $z = 2$. But we found $x = 2$ and $y=14$.

Answer:

False