Question

in the image, $\triangle carcong\triangle box$. 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 $CA = BO$, $AR=BX$, and $CR = OX$. So, $5y - 3=87$, $11x - 2=2x + 5$, and assume the third - side equality for verification.

Step2: Solve for y

Solve the equation $5y-3 = 87$. Add 3 to both sides: $5y=87 + 3=90$. Then divide both sides by 5: $y=\frac{90}{5}=18$.

Step3: Solve for x

Solve the equation $11x - 2=2x+5$. Subtract $2x$ from both sides: $11x-2x-2=2x - 2x+5$, which gives $9x-2 = 5$. Add 2 to both sides: $9x=5 + 2=7$. Then $x=\frac{7}{9}
eq34$.

Answer:

False