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Pavel [41]
3 years ago
6

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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Solve the inequality -5(d-2)&gt;35
chubhunter [2.5K]

Answer:

d < -5

Step-by-step explanation:

Okay, so the equation is  -5(d-2)>35

First we have to use distributive property to get rid of the parenthesis.

we do -5(d) --> -5d

then, -5(-2) --> 10

So now we just redo the equation---

-5d + 10 > 35

now you have to isolate d, the variable

First, to isolate you have to get rid of 10. Subtract 10 on both sides.

-5d + 10 > 35

      - 10    -10

----------------------

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Then you have -5d > 25. You have to do the opposite operation again to make the d by itself, so you divide -5 on each side.

   -5d > 25

   -----    -----

    -5       -5

-5d/-5 is d because the -5's cancel out. 25/-5 is -5. Now, you have to flip the equation because when working with inequalities, you have to flip the symbol.

SO,,, the answer is

d < -5

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Use the formula m =
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Best Regards!

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