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podryga [215]
3 years ago
9

Pls, help with this question

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.

Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.

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Find the circumference of a circle with an area of 615.75 square inches.
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A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.
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3 years ago
What is the measure of angle K? 102o 118o 134o 156o
stealth61 [152]

Answer:

The measure of angle K is 118°

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:

K + L + M + J = 360°

Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.

From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:

K + 46° + 118° + 78° = 360°

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Hope this helps :)

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3 years ago
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Answer:

190 possibilities.

Step-by-step explanation:

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However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

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