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Jorianes
29.05.2020 •
Mathematics
Carly can travel 144 miles on 8 gallons of gas. Jade can travel 180 miles on 10 gallons of gas.
Which of the following statements is true?
Carly gets better gas mileage than Jade.
Jade gets better gas mileage than Carly.
Carly and Jade get the same gas mileage.
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Ответ:
To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.
m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°
5x - 10 = 90
5x = 100
x = 20
Then, plug the value of x back into each expression to find the measures of angles A and B.
m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°
m∠A = 65°
m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°
m∠B = 25°
You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.
65° + 25° = 90°