Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
Hello...
Tony and his three friends live in Albuquerque, New Mexico, but they all attend college in Boston, Massachusetts. Because they want to have a car at school this year, they are planning to drive Tony's car from Albuquerque to Boston at the beginning of the school year. Although they'll each pay for their own food during the road trip, the friends plan to split the costs for gas and hotels evenly between the four of them.
Estimate the total cost that each friend will have to pay for gas and hotels. Explain how you got your answer. Here are some figures that may help you out:
•Tony's car can travel 28 miles for each gallon of gas.
•The average fuel cost at the time of their trip is $3 per gallon.
•They plan to drive about 650 miles each day.
•They estimate the average cost of a hotel each night is $85.
•They will drive approximately 2,240 miles to get from Albuquerque to Boston.
Solution:
Cost of Gas:
2240 / 28 x 3 = $240
Cost of Lodging:
85 x floor2240 / 650 = $255
Cost of both: $240 +255 = $495.
The cost for a 1/4 share is $495/4 = $123.75.
Answer:
1. x is 162 degrees. y is 132 degrees
2. x is 30 degrees. y is uh i dont know it might be 72 degrees tho .
SOLUTION
Let the two integers be x and y.
Now, the product of x and y, is 80, that is
The quotient of x and y is 5, that is
From equation 2, make x, the subject, we have
Now substitute the x for 5y into equation 1, we have
![\begin{gathered} xy=80 \\ 5y\times y=80 \\ 5y^2=80 \\ \text{dividing by 5} \\ y^2=\frac{80}{5} \\ y^2=16 \\ \text{take square root of both sides } \\ \sqrt[]{y^2}=\sqrt[]{16} \\ \text{square cancels root} \\ y=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20xy%3D80%20%5C%5C%205y%5Ctimes%20y%3D80%20%5C%5C%205y%5E2%3D80%20%5C%5C%20%5Ctext%7Bdividing%20by%205%7D%20%5C%5C%20y%5E2%3D%5Cfrac%7B80%7D%7B5%7D%20%5C%5C%20y%5E2%3D16%20%5C%5C%20%5Ctext%7Btake%20square%20root%20of%20both%20sides%20%7D%20%5C%5C%20%5Csqrt%5B%5D%7By%5E2%7D%3D%5Csqrt%5B%5D%7B16%7D%20%5C%5C%20%5Ctext%7Bsquare%20cancels%20root%7D%20%5C%5C%20y%3D4%20%5Cend%7Bgathered%7D)
Now substitute y for 4 into any of the equations.
Let us use equation 1 again, we have
Hence the answer is 4, 20
