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3 years ago

13

A high- speed elevator can rise 500 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevato

r?

1 answer:

maria [59]3 years ago

5 0

The expression is r = 500 • 2, where “r” represents the rate.

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One angle of a linear pair is 10 more than two-thirds the other angle. Find the measure of both angles.

nata0808 [166]

Answer:

102° and 78°

Step-by-step explanation:

let one angle be x then the other angle is

$\frac{2}{3}$ x + 10 ( 10 more than two-thirds the other angle )

A linear pair of angles sum to 180°, hence

x + $\frac{2}{3}$ x + 10 = 180

$\frac{5}{3}$ x + 10 = 180 ( subtract 10 from both sides )

$\frac{5}{3}$ x = 170

multiply both sides by 3 and divide by 5

5x = 510

x = 102

The 2 angles are x = 102° and

$\frac{2}{3}$ x + 10 = $\frac{2}{3}$ × 102 + 10 = 68 + 10 = 78°

As a check : 102 + 78 = 180 → correct

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