The distance traveled in a car varies directly as the amount of gasoline used. if a car travels 520 miles and uses 26 gallons of gas, find the constant of variation or miles per gallon.
a) 18 mpg
b) 20 mpg
c) 22 mpg
d) 24 mpg

B) 20 mpg

Step-by-step explanation:

Taking into account that the amount of gasoline used is directly variable to the distance traveled in a car, to find the constant of variation in miles per gallon you need to have an end value that will give you how many miles can be travelled with one gallon. The information we have tells us that 520 miles use up 26 gallons, so 520 miles per 26 gallons. To find how many miles are done with only one gallon divide the 520 miles by the 26 gallons. 520/26 =20miles per gallon 20mpg is the constant of variation, which means that the car uses one gallon in 20 miles of travelling, and will use x gallons in 20 times x miles.

false

step-by-step explanation:

rulers and compasses arent required in order to bisect an angle because when bisecting angles, you're making a "half circle" and considering in order to bisect an angle it wouldn't be straight, you wouldn't need either of the two

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.