suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.

Question

3 years ago

8

2 answers:

enyata [817] · Answer 1 · 2022-01-21T07:39:27+03:00

Answer:

x=-0.4

Step-by-step explanation:

ok you have to visualize this line

P Q R

O---------------------O-----------------------O

3x+14 7x-10

so to make the equation of PR you would add PQ and QR together.

3x+14+7x-10

add your like terms

10x+4

solve for x

10x+4=0

subtract 4 from each side

10x=-4

divide both sides by 10

x=-2/5 fraction

x=-0.4 decimal

NARA [144] · Answer 2 · 2022-01-21T05:30:04+03:00

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

$3x+14=7x-10\\3x+24=7x\\24-4x\\x=6$