Answer:
Step-by-step explanation:
Since we know that the two lines are parallel because of alternate interior angles (5x-20)=3x
then solve for x
5x-20=3x
-20=-2x
x=10°
3. straight line
8.obtuse
12.acute
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
f(x) = 2x
g(x) = x + 3
First let us find (fog)(x)
<span />
(fog)(x) = f(g(x)
= f(x+3)
= 2(x+3)
= 2x + 6
==> (fog)(x) = 2x + 6
Now let us find (gof)(x):
(gof)(x) = g(f(x)
= g(2x)
= 2x + 3
==> <span>(gof)(x) = 2x + 3</span>
The answer is 3 First you subtract 2 from 17 and then you divide 15 by 5 to get the answer of 3
