point a is the mid - point of side xz and point b is the mid - point of side yz. what is ax? 2 units 4 units…
point a is the mid - point of side xz and point b is the mid - point of side yz. what is ax? 2 units 4 units 6 units 8 units
Answer
Explanation:
Step1: Use mid - point property
Since A is the mid - point of XZ, we know that XA = AZ. So, 2x−2=x + 1.
Step2: Solve the equation for x
Subtract x from both sides: 2x−x−2=x−x + 1, which simplifies to x−2 = 1. Then add 2 to both sides: x=1 + 2, so x = 3.
Step3: Find the length of AX
Substitute x = 3 into the expression for AX. AX=2x−2. Replace x with 3: AX=2×3−2=6 - 2=4.
Answer:
4 units