Answer:
120°
Step-by-step explanation:
All the angles of an equilateral triangle are equal, and hence have a measure of 60°.
∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.
∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.
Also note that ∠AGE = ∠AGF + ∠FGE.
⇒ m∠AGE = m∠AGF + m∠FGE
⇒ m∠AGE = 60° + 60°
= 120°.
For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
They’ve already played 20 games and there are 40 remaining, so 60 total games.
80 * .625 = 37.5, so they need to win at least 38 games to make the playoffs. So they must win 30 more games. If they do so they’ll have won 38 out of 60. Winning 2 games out of 5 in the playoffs means their total is 40 out of 65. 40/65 = .6153 = 61.5%.
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
Answer:
The first digit would go in the tens place.
Step-by-step explanation:
First we estimate the approximate numbers. For 6130 we estimate 6000 and for 153 we estimate almost 150.
So dividing 6000 by 150 would give 40 .
The four would go in the ten's place .
Now check by dividing
40.1 So the answer is correct. The quotient is 40.12.
<u> 612</u>
190
<u> 153</u>
<u> 37 </u>
The first digit would go in the tens place.
The answer is justified. We can easily decide where to place the first digit.
