111k views
1 vote
Point P is the midpoint of DE . DP=3x+2, and DE=10x−12. What is the value of x?

1 Answer

6 votes

Answer:

4

Explanation:

Midpoints are points that divide line segments exactly in halves, meaning both sides equal the same length.

So if P is the midpoint of DE, DP and PE must equals the same length.

Given that:

DP = 3x + 2, PE also equals 3x + 2.

DE = 10x - 12

Now we must set these lengths equal to the total length of the segment.

2(3x + 2) = 10x - 12

Solve:

6x + 4 = 10x - 12

-4 -4

6x = 10x - 16

-10x -10x

-4x = -16

/-4 /-4

x = 4

User Dyary
by
8.2k points

Related questions