Answer:
see below
Step-by-step explanation:
This is a vocabulary problem, identifying the names of things on a diagram.
Angles are "interior" when they are between the "parallel" lines. They are "exterior" when they are outside those lines. They are "alternate" if they are on opposite sides of the transversal, and "same side" if they are not.
They are "vertical" if they share a vertex and have opposite rays for sides, and they are "corresponding" if they are in the same quadrant of the intersection of crossing lines. (1, 5, 9, 13 are "corresponding", for example.)
Step-by-step explanation:
T = beads of Ting Ting = 165
S = beads of Sherie.
R = beads of Roxanne.
S = 4/5 × T = 4/5 × 165 = 4 × 33 = 132 beads
R = 1/2 × S = 1/2 × 132 = 66 beads
Ting Ting has therefore 165 - 66 = 99 more beads than Roxanne.
Answer:
Step-by-step explanation:
15/2 = 7.5 and (7.5)^2 = 56.25 so
x^2 + 15x + 56.25 = 49 + 56.25
x^2 + 15x + 56.25 = 105.25.
Answer:
C 20
Step-by-step explanation:
Set up equations:
Laguna's Truck Rentals
y = 2x + 20
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
Well, the company charges $2 for every mile driven. Therefore, by multiplying 2 and x, you will find the price paid per mile. The 20 (which represents $20) is the one-time payment you pay for simply using the service.
Salvatori's Truck Rentals
y = 3x
Where x is the number of miles driven and y is the total price
<em>How did we get to this equation?</em>
For this company, you only pay for how many miles you drive. There isn't a one-time payment like there is for Laguna's Truck Rentals. Therefore, you only need to multiply the price per mile ($3) by the number of miles driven (x).
Set the equations equal to each other:
2x + 20 = 3x
<em>Why would you do this?</em>
We need to set the equations equal to each other because we need to find the point at which the prices are the same. When two things are the same, they are equal. Therefore, we get rid of the y variable (which represents the total price) because we want to find the value of x when the equations are equal to one another.
Solve:
2x + 20 = 3x
Subtract 2x on both sides:
2x + 20 = 3x
-2x -2x
20 = x
When x is equal to 20, or when the number of miles driven is 20, the total price of the Truck Rental services is the same.
Hope this helps :)
