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iVinArrow [24]
3 years ago
13

Sennee cut a ribbon into 3 equal pieces . Then she cut 5 inches off one piece . That piece is now 3 inches long. What was the le

ngth of the original ribbon?
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Each piece is x inches long. If she cut 5 inches from x, then it's now x-5 inches long.

This is equal to 3 inches (given) so equate the two expressions and isolate x

x-5 = 3
x-5+5 = 3+5
x = 8

Each piece is 8 inches long. There are 3 pieces. Therefore the original ribbon was 24 inches long (8*3 = 24). 
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A and B are supplementary angles. If A = (5x + 27)° and B = (5x – 7)º, then find the measure of angle A.​
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Answer:

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

Step-by-step explanation

supplementary angle=180

(5x + 27)° +  (5x – 7)º=180

5x+27+5x-7=180

10x+20=180

10x=180-20

10x=160

x=160/10

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

107+73=180

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