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nekit [7.7K]
3 years ago
10

I need help pls with this

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0
When you are solving an algebraic one-step equation, the goal is to isolate the variable on one side of the equal sign, two-step equations are the same, but with one more step (hence the name)
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"In quadrilateral QRST, m∠Q is 68°, m∠R is (3x + 40)°, and m∠T is (5x − 52)°. What are the measures of ∠R , ∠S , and ∠T ? Write
34kurt
TQRS is an inscribed quadrilateral.
5 x - 52° + 3 x + 40° = 180°
8 x - 12° = 180°
8 x = 180° + 12°
8 x = 192°
x = 192° : 8 = 24°
m∠ R = 3 · 24° + 40° = 112°
m∠ T = 5 · 24° - 52° = 68°
m∠ S = 360° - ( 68° + 68° + 112° ) = 112°
Answer:  
m∠R, m∠S, m∠T = 112°, 112°, 68°.
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