Answer/Step-by-step explanation:
5. 21x + 4 = 22x - 2 (corresponding angles)
Collect like terms
21x - 22x = -4 - 2
-x = -6
divide both sides by -1
x = 6
6. (x + 72) + (x + 132) = 180 (linear pair)
x + 72 + x + 132 = 180
Add like terms
2x + 204 = 180
2x = 180 - 204
2x = -24
x = -12
7. 90 = 22x + 2 (vertical angles)
90 - 2 = 22x
88 = 22x
Divide both sides by 22
4 = x
x = 4
8. 12x + 10 = 13x + 3 (vertical angles)
Collect like terms
12x - 13x = -10 + 3
-x = -7
Divide both sides by -1
x = 7
9. 17x = 16x + 5 (alternate exterior angles)
17x - 16x = 5
x = 5
✔️17x
Plug in the value of x
17(5) = 85°
10. 21x - 6 = 20x (corresponding angles)
Add like terms
21x - 20x = 6
x = 6
✔️20x
20(6) = 120°
Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article, 
is calculated as:
Where 
is the change in the total benefit of the article, and 
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so and are equal to:
Then, the marginal benefit of watching the third game is:
To solve these types of problems, we need to convert the two values into the same form.
We know that 1 = 1.00, as adding zeroes to the end of a decimal doesn't change the value.
To change a decimal into a percentage, we multiply the decimal by 100 and add a percent sign.
1.00 * 100 = 100%
Therefore, 1 = 100%
Because 120% is greater than 100%, thus,
120% > 1
Answer: 1100 boys
Step-by-step explanation:
45% students are girls
45% girls in number = 900
1% be = 900x45= 20
55% students are boys
55% boys in number= 55x20= 1100 boys
