Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
Answer:
A, B and F.
Step-by-step explanation:
The bill total + 20% of the bill total must be less than or equal to $60.
So we have the inequality:
x + 0.20x ≤ 60
1.20x ≤ 60
x ≤ 60/1.20
x ≤ 50 dollars.
Answer:
237.46 cm squared
Step-by-step explanation:
look at the image for explanation
Given two functions, we can combine them in such a way so that the outputs of one function become the inputs of the other. ... 3, right parenthesis first and then substitute that result into f f ff to find our answer. ..... Problem 1 ..... end{aligned} (h∘g)(x)=h(g(x))=(g(x))2−2(g(x))=(x+4)2−2(x+4)=x2+8x+16−2x−8=x2+6x+8Define.
Answer:
The most people that can attend is 7 if the budget is $14