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allsm [11]
3 years ago
14

I need help !!!!!!!!!!!!!!!

Mathematics
2 answers:
Dominik [7]3 years ago
4 0
Because \angle A and \angle B are alternate exterior angles, this means they <span>congruent or equal to each other.
</span>
Therefore, we can say 5x-15 = 2x+21 and use this equation to solve for x.
5x-15 = 2x+21
5x = 2x+36
3x = 36
x = 12
So x is equal to 12. After finding this, we can now go back to the equation for \angle B and plugin x to solve it.
\angle B = 2x +21

\angle B = 2(12) +21
\angle B = 24 +21
\angle B = 45
Therefore, \angle B is equal to 45 degrees.


koban [17]3 years ago
3 0
Angle B= 45 degrees
Angle A = 45 degrees

A and B are congruent since they are alternate exterior angles
5x-15 = 2x +21
5x = 2x +36
3x=36
X=12
B)
2x12+21 = 45
A)
5x12-15 =45
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Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

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<u></u>

<u>To find:</u>

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<u>Solution:</u>

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And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

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If scaled with a factor \frac{1}{2}, the sides will be 3, 4 and 5.

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  • Let us consider a rectangle now.

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Area of a rectangle, A = Length \times Width = 8 \times 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \times 5 =20 sq units

So, \bold{A' = \frac{1}4 \times A}

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\therefore Area of polygon D = \bold{\frac{1}{4}}\times Area of polygon C

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Step-by-step explanation:

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