Question

Please help me its due tomorrow

Answer 1

Answer:

a. 1 = ST; 20 = RS; 5 = x

b. 40 = ST; 20 = RS; 12 = x

c. 17 = RT; 6 = RS; 7 = x

d. 34 = RT; 15 = RS; 6 = x

Step-by-step explanation:

___

Since the exercise ONLY tells you that Point S is in between RT, use the Segment Addition Postulate for all exercises:

d. 8x - 14 = 19 + [4x - 9]

8x - 14 = 10 + 4x (Combine like-terms)

- 8x - 8x

___________________

-14 = 10 - 4x

-10 - 10

_____________

-24 = -4x

____ ____

-4 -4

6 = x [Plug this back into the equations above to get these measures: 34 = RT; 15 = RS]

c. x + 10 = 11 + [2x - 8]

x + 10 = 3 + 2x (Combine like-terms)

- 2x - 2x

________________

-x + 10 = 3

- 10 - 10

___________

-x = -7

__ __

-1 -1

x = 7 [Plug this back into the equations above to get these measures: 17 = RT; 6 = RS]

b. 60 = [4x - 8] + [3x - 16]

60 = 7x - 24 (Combine like-terms)

+ 24 + 24

______________

84 = 7x

___ ___

7 7

12 = x [Plug this back into the equations above to get these measures: 40 = ST; 20 = RS]

a. 21 = [x - 4] + [2x + 10]

21 = 3x + 6 (Combine like-terms)

- 6 - 6

______________

15 = 3x

___ ___

3 3

5 = x [Plug this back into the equations above to get these measures: 1 = ST; 20 = RS]

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