Question

If x is the midpoint of SP, SX = 42 AND XP =5X+8, WHAT IS X?

Answer 1

Answer:

x= 34/5 = 6.8

Step-by-step explanation:

Given  "x is the midpoint of SP" we can conclude that SX = XP since by the midpoint definition we know that X is dividing the line SP in congruent lines SX and XP.

Given "SX = 42 AND XP =5X+8" and that SX = XP, we can conclude that 5x+8 = 42.

Solve the equation to find the value of x:

5x +8 = 42, subtract 8 from both sides

5x +8 -8 = 42-8, combine like terms

5x = 34, divide both sides by 5

x= 34/5 = 6.8