Question

Point P is the midpoint of DE⎯⎯⎯⎯⎯ . DP=3x+2, and DE=10x−12. What is the length of DP⎯⎯⎯⎯⎯ ?

Answer 1

DP =1/2DE, 3x+2=1/2(10x-12).
3x+2=5x-6
x=4
So DP=3(4)+2=14.

Answer 2

Midpoint is the point that divides a segment, line or shape into 2 equal sections. The length of DP is 14 units

Given that:

$DP = 3x + 2$

$DE = 10x - 12$

P is the midpoint means that:

$DE = 2 \times DP$

So, we have:

$10x - 12 = 2 \times (3x + 2)$

Open bracket

$10x - 12 = 6x + 4$

Collect like terms

$10x - 6x = 12 + 4$

$4x = 16$

Divide both sides by 4

$x =4$

Recall that:

$DP = 3x + 2$

So:

$DP = 3 \times 4 + 2$

$DP = 14$

Hence, the length of DP is 14 units

Read more about midpoints at:

https://brainly.com/question/8943202