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Liono4ka [1.6K]
3 years ago
5

A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op

posite of that angle?​
Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

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Answer:

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(b) P(Y|M')\approx 0.8323

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Step-by-step explanation:

Given table is

                Yes      No      Don't Know      Total

Men          162      92             25               279

Women      258    41              11               310

Total          420    133            36                589

According the the conditional probability, if A and B are two event then

P(A|B)=P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

We need to find the following probabilities.

Let Y is the event "saying yes," and M is the event "being a man."

(a)

P(Y'|M)=\frac{P(Y'\cap M)}{P(M)}

P(Y'|M)=\frac{\frac{92}{589}}{\frac{279}{589}}

P(Y'|M)=\frac{92}{279}

P(Y'|M)=0.329749103943

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(b)

P(Y|M')=\frac{P(Y\cap M')}{P(M')}

P(Y|M')=\frac{\frac{258}{589}}{\frac{310}{589}}

P(Y|M')=\frac{258}{310}

P(Y|M')=0.832258064516

P(Y|M')\approx 0.8323

(c)

P(Y'|M')=\frac{P(Y'\cap M')}{P(M')}

P(Y'|M')=\frac{\frac{41}{589}}{\frac{310}{589}}

P(Y'|M')=\frac{41}{310}

P(Y'|M')=0.132258064516

P(Y'|M')\approx 0.1323

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Answer:

A) √3

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The tangent of an angle can be found by dividing the leg opposite the angle over the leg adjacent to it.

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The 30-60-90 rule says that in a right triangle with the angles 30°, 60° and 90°, the sides opposite those angles will have the ratio of 1:√3:2.

That means the side adjacent to 60° is 2 units long and the one opposite is 2√3 units long.

Dividing those two gives us (2√3)/2, which can be simplified to √3.

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Answer:

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H. Is possible because she got heads in the second and  third flip.

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