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Artemon [7]
4 years ago
14

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

. Complete the following statements. Since angle G is angle, the opposite side, JH, is . The order of the side lengths from longest to shortest is .

Mathematics
2 answers:
natta225 [31]4 years ago
5 0
The smallest–largest ordering of sides is the same as the smallest–largest ordering of angles.

Since angle G is the largest angle, the opposite side, JH, is longest.

The order of side lengths from longest to shortest is JH, HG, GJ.
Margarita [4]4 years ago
3 0

Answer:

Step-by-step explanation:

It is given that in  triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°.

Since, angle G is the largest angle that is of measure  110°,the side opposite to angle G is JH and is will be the longest side.

The angle J is the smaller than angle G but larger than angle H, thus the side opposite to it that is GH is larger than the third side.

The angle H has the measure of angle 30°, thus the side opposite to angle H is GJ and has the smallest length,

Therefore, The order of the side lengths from longest to shortest is:

HJ>GH>GJ.

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Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain
horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

        = 48 + 32

        = 80

N (Y) = n (Y) + n (Y')

        = 72 + 18

        = 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

P(X'\cap Y)=P(X')\times P(Y)

                 =\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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Step-by-step explanation:

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