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:
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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
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3 3
5 = x [Plug this back into the equations above to get these measures: 1 = ST; 20 = RS]
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