Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. 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. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.