Answer:
Step-by-step explanation:
The two x angles on the right are supplementary which means they add up to 180 degrees
5x + 12 + 7x - 24 = 180
12x - 12 = 180
12x = 192
x = 192/12
x = 18
5x + 12 and y are corresponding angles and are therefore equal
5(18) + 12 = 90 + 12 = 102
Therefore y = 102
Answer:
70
Step-by-step explanation:
7 and 10 = 70, This is the correct answer because 7 times 10 equals 70, and 10 times 7 equals 70 too, so 70 is the LCD
7 and 10 = 1, This is impossible because anything multiplied by 7 naturally does not get 1 as a answer, including 10 too. X
7 and 10 = 10, Only 10 times 1 equals 10, but 7 a natural whole number does not equal 10. X
7 and 10 = 35, Only 7 times 5 equals 35, but 10 times a whole number does not equal 35. X
Answer:
$90.75
Step-by-step explanation:
First we convert kilograms to pounds.
1 kg = 2.2 lb
15 kg = 15 * 2.2 lb = 33 lb
Cost of shipping: $2.75/lb
Cost of shipping 33 lb: 33 lb * 2.75/lb = $90.75
Answer: $90.75
Answer:
It will take about 7.3 years for his money to triple.
Step-by-step explanation:
Identify the variables in the formula.
A = 150,000
P = 50,000
r = 0.15
t = ?
A = Pe^rt
Substitute the values into the formula.
150,000 = 50,000e^0.15*t
Solve for t. Divide each side by 50,000.
3 = e^0.15*t
Take the natural log of each side.
ln 3 = ln e^0.15*t
Use the power property and then simplify.
ln 3 = 0.15*t ln e
ln 3 = 0.15-t
Divide each side by 0.15.
(ln 3)
/(0.15) = t
Approximate the answer.
t ≈ 7.3
