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midsky
30.09.2020 •
Mathematics
PLZZ HELP MEE I NEED HELP
The angle measures of a triangle are 2y + 3 degrees,
9y - 7 degrees, and 7y + 4 degrees. Which of the
following is NOT one of the angle measures of the
triangle?
O A. 23°
O B. 74°
0 C. 83°
OD. 97°
Solved
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Ответ:
The angle that isn't part of the angles is 97°
The total sum of the angles that we have in a triangle is 180°
Therefore, based on the information given, the equation to use will be:
2y + 3 + 9y - 7 + 7y + 4 = 180
Collect like terms
18y = 180 - 3 + 7 - 4
18y = 180
y = 180/18
y = 10
1st angle = 2y + 3 = 2(10) + 3 = 23°
2nd angle = 9y - 7 = 9(10) - 7 = 83°
3rd angle = 7y + 4 = 7(10) + 4 = 74°
Therefore, 97° isn't among the angles
In conclusion, the correct option is D
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Ответ:
D. 97°
Step-by-step explanation:
Step 1:
2y + 3° + 9y - 7° + 7y + 4° = 180° Sum of Δ
Step 2:
18y = 180° Algebra
Step 3:
y = 10 Algebra
Step 4:
2 ( 10 ) + 3 = 23° Algebra
Step 5:
9 ( 10 ) - 7 = 83° Algebra
Step 6:
7 ( 10 ) + 4 = 74° Algebra
D. 97°
Hope This Helps :)
Ответ:
no
Step-by-step explanation: