Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

M is the midpoint of RT. RS=6x+7 and ST=9x-8. find the length of RS and RT

Sagot :

akposevictor

Applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

What is the Midpoint of a Segment?

The midpoint is defined as the point that bisects a line segment into two equal halves.

If M is the midpoint of RT, therefore:

RS = ST

RS = 6x + 7

ST = 9x - 8

Substitute

6x + 7 = 9x - 8

6x - 9x = -7 - 8

-3x = -15

x = -15/-3

x = 5

RT = RS + ST [segment addition postulate]

RT = 6x + 7 + 9x - 8 [substitution]

RT = 15x - 1

Plug in the value of x

RT = 15(5) - 1

RT = 74 units

RS = 6x + 7 = 6(5) + 7

RS = 37 units.

Thus, applying the definition of a midpoint of a segment, the lengths are:

RT = 74 units

RS = 37 units

Learn more about the midpoint of a segment on:

https://brainly.com/question/7696289

#SPJ1

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.