Correct answers only please!

Find m∠F.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

m∠F = °

62.7°

Step-by-step explanation:

9 = Hypotenuse

8 = Opposite

In this question we have to use some trigonometry to work out angle EFG. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 8 ÷ 9

The value of angle EFG is 62.73395555

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

step-by-step explanation: