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2 years ago

I hope someone can help me here please don't answer nonsense!

Mathematics

1 answer:

Wittaler [7]2 years ago

7 0

Answer:

282°

Step-by-step explanation:

The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.

<h3>value of x</h3>

The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.

2∠KLM = arc KM

2(5x -1) = 8x +14

10x -2 = 8x +14 . . . . . . eliminate parentheses

2x = 16 . . . . . . . . . . add 2-8x

x = 8 . . . . . . . . . divide by 2

<h3>measure of arc KM</h3>

The expression for the measure of arc KM can be evaluated.

arc KM = 8x +14 = 8(8) +14 = 78°

<h3>measure of arc KLM</h3>

The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:

arc KM +arc KLM = 360°

arc KLM = 360° -arc KM

arc KLM = 360° -78° = 282°

The measure are long arc KLM is 282°.

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3 years ago

I hope someone can help me here please don't answer nonsense!​

I hope someone can help me here please don't answer nonsense!