Solve for the missing arc measure, angle measure, or variable.

Mathematics

1 answer:

Anastaziya [24]2 years ago

6 0

Answer:

110

Step-by-step explanation:

The answer is 110 degrees. The reason is hard to put into simple language.

If the central angle and the acute angle hitting the circumference share the same end points, then the central angle is double the arc whose vertex is on the circumference.

Read that sentence a couple of times. I don't know how to make it simpler.

The arc angle and the central angle both have B and C as their end points.

The arc angle is on the circumference of the circle. The vertex (A) of BAC is on the circumference. If mine is the only answer, wait a few days before awarding a Brainliest. A thanks will do.

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Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.

d1i1m1o1n [39]

Answer:

Use the fact that sin(x) = opp/hyp and tan(x) = opp/adj

where opp=opposite, hyp=hypotenuse, adj=adjacent and recall sin(30)=1/2 and tan(30) = 1/sqrt(3)

sin(30) = 1/2 = 17/y

y = 17(2) = 34

tan(30) = 1/sqrt(3) = 17/x

x = 17sqrt(3)

So the answer is (d)

Note that you could have also use the Pythagorean theorem to find x instead of using tan(30).