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aliya0001 [1]
2 years ago
7

Hi pls help. pls explain a bit thank you:)

Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

a^3b^2c^6

Step-by-step explanation:

n^x*n^y=n^{x+y}

so

a^6*a^{-3}*a^0=a^{6-3+0}=a^3

b^3*b^1*b^{-2}=b^{3+1-2}=b^2

c^4*c^2=c^{4+2}=c^6

put it all together

a^3b^2c^6

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x + y + z = 180

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:

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First example of finding an exterior angle

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