4x - 91x + 8 = -87x + 8
6x - 4 + 2x + 9 = 8x + 5
8x + 3+ 7xy - 2 + x - 5xy = 2xy + 9x + 1
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:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: 11,700 times
Step-by-step explanation:
First find the number of seconds in 3 minutes 15 seconds.
Each minute is 60 seconds so 3 minutes would be:
= 3 * 60
= 180
Add the 15:
= 195 seconds
Lightning strikes more than 60 times per second so we shall use 60 times
= 60 * 195
= 11,700 times
Answer:
0.45
Step-by-step explanation:
Percentages are the number over 100 which is basically 45/100. This fraction can be converted into a decimal, as the decimal places are 0.(tenths 1/10)(hundredths 1/100). 45 going into the hundredths puts the 4 in the tenths and the 5 in the hundredths.
