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Yuri [45]
4 years ago
13

Find the measures of the angles in the diagram. 20 points for all of the ones listed below

Mathematics
2 answers:
Inessa [10]4 years ago
8 0
AB is a diameter of the circle, so it divides circle into two semicircles. 

Inscribed Angle Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.


An especially interesting result of the Inscribed Angle Theorem is that an angle inscribed in a semi-circle is a right angle. That's why m∠<span>AQB=m∠</span><span>ASB=m∠</span><span>ALB=m∠</span><span>ATB=m∠</span><span>ARB=90°.</span>

It is impossible to find measure of ∠<span>BWD, its measure depends on measure of a central angle ∠WDB. </span>





uysha [10]4 years ago
4 0
All are 90 degrees, except for bwd
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Each week our school’s team travels to other schools for competitions. Today the five members of the gymnastics team and seven w
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Answer: The answer is 9.


Step-by-step explanation:  Given that five members of gymnastics team and 7 members of weight lifting team are travelling in two vans  to the rival school for competition. We are to find the number of ways in which they can ride in two vans such that no van contains more than eight passengers and there is at least one member of each team in each van.

Let 'g' and 'w' denote a member of gymnastics team and weight lifting team respectively.

Then, the possibilities are

For 1 g, we can choose 3w, 4w, 5w, 6w.

For 2g, we can choose 2w, 3w, 4w, 5w, 6w.

For 3g, we can choose 1w, 2w, 3w, 4w, 5w.

For 4g, we can choose, 1w, 2w, 3w, 4w.

Therefore, there are (4 + 5 + 5 + 4) = 18 ways.

Since, here the position of the vans does not matter, so the options are double here. Hence, we must divide it by 2.

Thus, the total number of ways = 9.


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3 years ago
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(A) Either of
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Answer:

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Step-by-step explanation:

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