ashtonhagan46
ashtonhagan46 ashtonhagan46
  • 14-09-2020
  • Mathematics
contestada

If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.

Respuesta :

Dead3ill
Dead3ill Dead3ill
  • 14-09-2020

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Answer Link

Otras preguntas

the sum of 2 numbers is 164. the larger exceeds 3 times the smaller by 36.
the type of business organization that can continue indefinitely known as a
What two states are not connected by land to any other state in the nation. alaska (al), arizona (az)?
Name a synonym and antonym for the word difficult
Which of the following who emerged as a strong leader and organizer of colonial protests and public
The _____ system eliminates the majority of nitrogen-containing metabolic waste products
Does science or pseudoscience concern the natural world?
Help please asap! What is the name of the wild grass from which maize originated?
Which example involves the transformation of chemical energy directly into light energy? A) a wind mill B) a glow stick C) photosynthesis D) a hydroelect
Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10