Answer:
8
Step-by-step explanation:
The fact that DE is perpendicular to AC means triangles AED and CED are congruent and side AD is equal in length to side CD.
5x -20 = 2x +4
3x = 24 . . . . . . . add 20-2x
x = 8 . . . . . . . . . .divide by 3
The value of x is 8.
If X is between P and Q, then PQ is the whole line segment and XQ and XP are line segments that add up to PQ. Therefore, you can make an equation where XQ and XP add up to PQ.
XQ + XP = PQ
(3k) + (7k - 2) = 6k + 18
Combine like terms.
10k - 2 = 6k + 18
Add 2 to both sides.
10k = 6k + 20
Subtract 6k from both sides.
4k = 20
Divide both sides by 4.
k = 5
Plug 5 for k into XP.
XP = 7(5) - 2 ⇒ 35 - 2
XP = 33
