Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
Answer:
$5.30
Step-by-step explanation:
Let me know if you need evidence!
Answer: 3-subject notebook cost $0.67 or 67 cents and the single-notebook cost $0.33 or 33 cents.
Step-by-step explanation:
Let's represent the 3-subject notebook by y and the single-notebook by x.
y has to cost twice as much as x and we can represent that by the equation
y = 2x
We now know that the total cost of the 3-subject notebook and the single-subject notebook has to equal $1.
We can also represent that by the equation and solve for x
2x + x = 1
3x = 1
x = 0.33 $0.33 or 33 cents
If the single-subject is $33 cents then subtract it from a dollar to see how much the 3-subject notebook costed.
1- 0.33 = 0.67
After 15 minutes the football team lost 6 yards