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const2013 [10]
3 years ago
11

In this problem, we're going to explain why any trapezoid that can be inscribed in a circle must be an isosceles trapezoid. In t

his figure, let's assume without loss of generality that segments AB and DC are parallel. By the end of this problem, we want to show that ∠D ≅ ∠C.
1. Explain why ∠A must be supplementary to ∠D.

Mathematics
2 answers:
Softa [21]3 years ago
8 0

Step-by-step explanation:

"Explain why ∠A must be supplementary to ∠D"

The single reason for <A and <D being supplementary is the fact that the segment AB is parallel to the segment CD in any trapezoid, so line AD is a transversal with corresponding angles <D and 180-<A congruent which implies <D and <A are supplementary, which answers the question.

Triss [41]3 years ago
4 0

Since the trapezoid can be inscribed in a circle, that means angle B + angle D = 180 degree. Since AB is parallel to CD, then angle B + angle C = 180 degree. Therefore, angle D = angle C.

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A spinner is divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The
Furkat [3]
Solutions 

We know that <span>a spinner was divided into many different color sectors. Some sectors are larger than others. The spinner was spun 300 times. The results were tallied up and were written in a table. 

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Blue:59

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105/300 can be reduced. To reduce the fraction we need to the GCF of 105 and 300. The GCF is 15. 

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Our new fraction is 7/20 

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To get the answer to part (B) we have to add the results of red and green then simplify. 

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</span>198 ÷ 6 = 33

300 ÷ 6 = 50<span>

The new fraction is 33/50 

</span>The probability that the next spin will land on either green or red is <span>33/50. 
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