9) Two angles form a linear pair. One of the angles is 12° more than three times the other. What's the

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

42 deg, 138 deg

Step-by-step explanation:

Angles of a linear pair are supplementary. That means that their measures have a sum of 180 degrees.

Let the measure of one angle be x.

The other angle is 12° more than three times the first.

The other angle has measure 3x + 12.

The sum of their measures is 180 deg.

x + 3x + 12 = 180

4x + 12 = 180

4x = 168

x = 42

One angle measures 42 deg.

The other angle measures

3x + 12 = 3(42) + 12 = 138

The other angle measures 138 deg.

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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

Flauer [41]

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.

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

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