Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
Answer:
A.
Step-by-step explanation:
Answer:
81.88 is the answer
Step-by-step explanation:
Answer:
y = 0.9x
Step-by-step explanation:
A movie theater sends out a coupon for 10% off the price of a ticket, so the price of the ticket with the coupon is 100% - 10% = 90% of the original price.
Let
x = original price
y = price of the ticket with the coupon
Then
x - 100%
y - 90%
Write a proportion:
Cross multiply:
Since the original price and final price are always greater than 0, then the graph of this equation is in the first quadrant (see attached diagram)
To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,f(x) = y = 3x/ (8 + x)y (8 + x) = 3x8y + xy = 3x8y = 3x - xy8y = x (3 - y)8y / (3-y) = xx = 8y / (3 -y)
Therefore,f-(x) = f(y) = x = 8y/ (3 - y)