An angle's measure is equal to 24 less than its complement. Find the angle's measure.

1 answer:

4 0

A complementary angle is an angle that has measurements that add up with another angle to equal 90 degrees. To find the measure of the angle you would subtract 90 degrees from the measure of the given angle. So you would subtract 90 from 24 to get 66. So the measure of the angle would be 66 degrees. Thank you

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One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak

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Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

$\frac{1}{15} x + \frac{1}{30} x = 1$

This is representative of the situation. The fractions each represent how much each person does in a minute, and when they're multiplied by x, that's how much of the project they get done based off of the minutes they work together on the job. Add the two together, and you get how much of the project is finished in x amount of time. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

$\frac{1}{15} x + \frac{1}{30} x = 1$

$\frac{2}{30} x + \frac{1}{30} x = 1$