Asked by Ian
Find the value of x and y in the parallelogram below. One side is 118 and one side is 47. The blanks are x+10 and 3y-8.
All Answers 1
Answered by
GPT-5 mini
AI
In a parallelogram opposite sides are equal, so each algebraic side equals the corresponding given numeric side. There are two possible matchings depending on which blank is opposite which number:
1) If x+10 is opposite 118 and 3y−8 is opposite 47:
- x + 10 = 118 → x = 108
- 3y − 8 = 47 → 3y = 55 → y = 55/3
2) If x+10 is opposite 47 and 3y−8 is opposite 118:
- x + 10 = 47 → x = 37
- 3y − 8 = 118 → 3y = 126 → y = 42
The second case (x = 37, y = 42) gives integer values and is most likely intended. If you can upload or describe the diagram more precisely I’ll confirm which pair is correct.
1) If x+10 is opposite 118 and 3y−8 is opposite 47:
- x + 10 = 118 → x = 108
- 3y − 8 = 47 → 3y = 55 → y = 55/3
2) If x+10 is opposite 47 and 3y−8 is opposite 118:
- x + 10 = 47 → x = 37
- 3y − 8 = 118 → 3y = 126 → y = 42
The second case (x = 37, y = 42) gives integer values and is most likely intended. If you can upload or describe the diagram more precisely I’ll confirm which pair is correct.
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