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kifflom [539]
3 years ago
9

What is the first step to solving this equation? 4y – 10 = -3

Mathematics
2 answers:
Montano1993 [528]3 years ago
6 0
Add 10 to both sides of the equation

Dmitry [639]3 years ago
4 0
I would say either analyze it or move the 10 to the other side and change the sign. (4y=-3+10)
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Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

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We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

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Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

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Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

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The next number in the linear pattern would be 18
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