Answer:
you have to use the protractor tool
Answer:
x = 4
Step-by-step explanation:
(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.
Knowing that, we can do the following:
- (5x+19) + (5x+131) = 180
- 5x + 19 + 5x + 131 = 180
- 10x + 140 = 180
- 10x = 40
- <em>x = 4</em>
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):

Multiply both sides by 1.6:

This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:

The length of side AC, the hypotenuse, is 4 inches.
Answer:
Answer: : g(x)=-sqrt(x+3)+8
Step-by-step explanation:
The function has the same range is the third one:
g(x)=-sqrt(x+3)+8
The range of this function is:
x+3>=0
sqrt(x+3)>=sqrt(0)
sqrt(x+3)>=0
Multiplying the equation by -1:
-1[ sqrt(x+3)>=0]
- sqrt(x+3)<=0
Adding 8 both sides of the equation:
- sqrt(x+3)+8<=0+8
- sqrt(x+3)+8<=8
g(x)<=8
Then Range g(x)= (-Infinite, 8]
Answer: Third option: g(x)=-sqrt(x+3)+8