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1 year ago

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NL and MK are diameters of circle J. Complete the statements about circle J. MP is a major arc/minor arc and measures __ degrees

. MLN is a minor arc/major arc/semicircle and measures __ degrees.

1 answer:

joja [24]1 year ago

3 0

Answer:

1. Minor arc

2. 152

3. major arc

4. 298

Step-by-step explanation:

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In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?

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Answer:

Therefore the value of tangent of ∠ $M$ is $42$ °.

Step-by-step explanation:

Given that,

In Δ $MNO$ , ∠ $O=90$ °, $ON=65,$ $MO=72,$ and $NM=97.$

and we have to find the value of tangent of ∠ $M.$

Diagram of the given triangle is shown below:

Now,

Δ $MNO$ is a right angle triangle, so we can use all the trigonometric ratio.

$sin\alpha =\frac{Perpendicular}{Hypotenuse}$

$cos\alpha =\frac{Base}{Hypotenuse}$

$tan\alpha =\frac{sin\alpha }{cos\alpha }$ = $\frac{Perpendicular}{Base}$

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