Jerome is planning for this years beach clean kickoff event. this year, jerome wants to buy reusable water bottles with the beac
1 answer:
Answer:
233 bottles
Step-by-step explanation:
In this problem, the cost of b water bottles can be found by using the equation:
where
b is the number of bottles
1.2 is the cost of each bottle
20 is the fee for the order
Here we want to know the maximum number of water bottles that Marine can order staying within a budget of $300. So we can write that the cost must be less or equal than 300$:
To solve the equation, we subtract 20 from both sides first:
Now we divide both sides by 1.2:
So, Marine can buy at most 233 bottles.
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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.