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3 years ago

Help please! Do not answer if you are not going to help me

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

9514 1404 393

Answer:

12. (x, D, E, F) = (8, 38°, 75°, 67°)

13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

25x = 200 . . . . . . . add 20, simplify

x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

∠D = 5(8) -2 = 38°

∠E = 9(8) +3 = 75°

∠F = 11(8) -21 = 67°

13. (10x -4) +(4x -22) +(x +11) = 180

15x = 195 . . . . . . . . . . add 15, simplify

x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

∠P = 10(13) -4 = 126°

∠Q = 4(13) -22 = 30°

∠R = 13 +11 = 24°

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