Which table of ordered pairs represents a proportional relationship?

Mathematics

1 answer:

Shkiper50 [21]4 years ago

7 0

Answer:5

Step-by-step explanation:

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3 years ago

Angle measures and segment lengths. Algebra Find the value of each variable.

Katyanochek1 [597]

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x ° = 1/2 (130° - 30°) = 50°

(due to a theorem about intersecting secants/tangents)

(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then

x ° = 1/2 (240° - 120°) = 60°

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(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.

Each arc makes up 1/5 of the circle's circumferece, so

x ° = 360°/5 = 72°

The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)

The angles formed by the tangent to the circle are supplementary, so that

y ° + 108° + y ° = 180°

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3 years ago

Can you please help me this homework?

Elina [12.6K]

Answer & Step-by-step explanation:

Working from the inner circle out:

Natural Numbers: 1,2,3,4

These are the numbers you would use to count