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pogonyaev
3 years ago
9

Point P is the midpoint of DE DP=3x +2 and DE =10X-12 What is the length of DP

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0
<h3>Given</h3>

DP = 3x+2

DE = 10x-12

P is the midpoint of DE

<h3>Find</h3>

DP

<h3>Solution</h3>

If P is the midpoint, then PE = DP. The parts of a line segment add up to give the length of the entire line segment:

... DP + PE = DE

... DP + DP = DE . . . . . . use DP = PE

... 2(DP) = DE . . . . . . . . simplify

... 2(3x + 2) = 10x - 12 . . substitute the given in formation

... 16 = 4x . . . . . . . . . . . . add -6x +12

... 4 = x . . . . . . . . . . . . . . divide by the coefficient of x

The length of DP is 3×4 +2 = 14

<u>Check</u>

The length of DE is 10×4 - 12 = 28, which is 2 times the length of DP

storchak [24]3 years ago
7 0

Answer:

14 units

Step-by-step explanation:

done the topic

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