Find the value of the trigonometric ratio
2 answers:
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Check the picture below.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
now, we know that the slanted legs are congruent, since it's an isosceles trapezoid, we also know that the bases are the parallel sides, so, the "altitude" or distance from those bases are the same length, for each of those triangles in the picture.
now, the bases are parallel, that means the altitude segment is perpendicular to the base, the longest side at the bottom, so, we end up with a right-triangle that has a Hypotenuse and a Leg, equal to the other triangle's.
thus, by the HL theorem for right triangles, both of those triangles are congruent, and if the triangles are congruent, all their sides are also, including the ones on the base.
Answer:
The car uses less gas
They use the same amount of gas after miles
Step-by-step explanation:
Given
The table represents the car mileage
--- The van
First, calculate the car's slope (m)
From the table, we have:
So, we have:
Calculate the equation using:
implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
--- The van
By comparison to:
This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:
This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
--- The van
--- The car
Equate both
Collect like terms
Take LCM
Solve for -7x
Solve for x