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max2010maxim [7]
3 years ago
6

Please help me !! ! !

Mathematics
1 answer:
Vesna [10]3 years ago
3 0
Option a. option a has an answer of x=13, while the other problems have solutions of x=5.
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To find arc length, start by dividing the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.
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In the given diagram, what is the measure of ∠ABC of parallelogram ABCD?
nata0808 [166]
<h3>Answer: C) 136 degrees</h3>

The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.

The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.

If x is the measure of angle ADC, then

44+(angleADC) = 180

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angle ADC = 136 degrees

For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.

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