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Lelu [443]
3 years ago
11

Two angles of a quadrilateral are supplementary. One of them is 4 less than twice the other. What is the measure of the larger a

ngle?
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
<span>Larger angle measures four degrees more than seven times the smaller angle. ... The measure of one of two complementary angles is 21 less than twice the measure of the other angle. ... One angle is 4 degree less than 3 times the other.</span><span>

</span>
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37.8°

Step-by-step explanation:

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The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

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Mia found the area of a polygon The area is 32 square cm.
solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle we have:

A_{r} = bh = 6 cm*4 cm = 24 cm^{2}

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

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So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}

This polygon does have an area of 32 cm².

   

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!                              

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