<span>Michelle
family drove 272.48 miles.
=> Michelle calculated that they drove 26.2 miles per gallon of gas.
Question: how many gallons of gas did the car use?
=> Unit rate = 26.2 miles per gallon
Now, they travelled a total of 272.48 miles.
To get the answer let’s divide the total miles they travel to the number of
miles for each gallon of gas.
=> 272.48 / 26.2 = 10.2
Thus, they need 10.2 gallon of gas to get to their destination.</span>
Let t be the number of tolls they crossed.
Amount they spent at each toll = $1.75.
Amount they spent at gas station = $28.
Let C be the total amount they spent on gas and tolls.
If they crossed 1 toll, then
C = 28 + 1.75(1).
If they crossed 3 tolls, then,
C = 28 + 1.75(3)
If they crossed t tolls, then,
C = 28 + 1.75t
Here, the terms are 28 and 1.75t and the factors are 1.75 and t.
Answer: Choice A) AA postulate; 18
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Work Shown:
The triangles are similar to each other due to the AA (angle angle) postulate. The top angles are overlapping or shared angles. So that's the first pair. The second pair of angles is either bottom pair of angles, from the fact that corresponding angles are congruent. This is only true if the lines are parallel.
Due to the similar triangles, we can set up the proportion and solve for x
8/(8+4) = 12/x
8/12 = 12/x
8*x = 12*12 ... cross multiply
8x = 144
x = 144/8
x = 18
The y-intercept is (0, -8)
if you set the equation to slope intercept format you get
y=-2x-8
Answer:
True, all integers are rational numbers.
Step-by-step explanation:
Because each integer can be written as n/1 and integers can be positive and negative. For example, 3= 3/1 , 3 is the rational number. But all rational numbers like 1/2 =0.5 are not an integer. (fractions, decimals are not integers.)
