Question

1. if a is between w and z, and wz = 30, find the value of x.

w x + 10 a 5 z

Explanation:

Step1: Apply segment - addition postulate

Since $A$ is between $W$ and $Z$, we have $WA + AZ=WZ$. Given $WA=x + 10$, $AZ = 5$, and $WZ=30$, we get the equation $(x + 10)+5=30$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $x+(10 + 5)=30$, so $x+15 = 30$.

Step3: Solve for $x$

Subtract 15 from both sides of the equation: $x=30 - 15$.

Answer:

$x = 15$