Question

1. if segment xy is 15 units long and the length of segment xz is 3 units greater than the length of segment zy, what is zy equal to?

9
18
12
6

Explanation:

Step1: Set up an equation

Let the length of $ZY$ be $x$. Then the length of $XZ$ is $x + 3$. Since $XY=XZ + ZY$ and $XY = 15$, we have the equation $x+(x + 3)=15$.

Step2: Simplify the equation

Combining like - terms, we get $2x+3 = 15$.

Step3: Solve for $x$

Subtract 3 from both sides: $2x=15 - 3=12$. Then divide both sides by 2: $x=\frac{12}{2}=6$.

Answer:

D. 6