Answer:

Step-by-step explanation:
We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is
, we can solve for
.
(Angle sum of pentagon is
)
(collect like-terms)

Hope this helps :)
Step-by-step explanation:
40 sodas=100%
15 sodas=?
15×100
1500/40
37.5%
Answer:

Step-by-step explanation:
So we have the function:

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

Add 9 to both sides:

Take the natural log of both sides:

The right side cancels:

Divide both sides by 6:

And we're done!
Okay. So 90 yds was cut from the 230 yd yarn. 230 - 90 = 140. 1/2 of 140 is 70. 230 - 70 = 160. The yellow yarn was 160 yds longer than the blue yarn at first.
Answer:
Step-by-step explanation:
Let x represent the number of video games that Kevin rents.
Let y represent the total amount that he paid for x video games rental.
The slope intercept form of an equation is expressed as
y = mx + c
Where
m = slope
c = intercept
When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,
Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5
To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes
30 = 2.5 × 4 + c
30 = 10 + c
c = 30 - 10 = 20
The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes
y = 2.5x + 20
The cost per video game rental is $2.5
The membership fee is $20