Answer:
x= 34/5 = 6.8
Step-by-step explanation:
Given "<u>x is the midpoint of SP</u>" we can conclude that SX = XP since by the <u>midpoint definition</u> we know that X is dividing the line SP in congruent lines SX and XP.
Given "<u>SX = 42 AND XP =5X+8</u>" and that <u>SX = XP</u>, 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