Answer:
DE = 5
BC = 10
Step-by-step explanation:
ΔAED is a right triangle with legs of 4 and 6/2 = 3
Use the Pythagorean theorem to find DE
16 + 6 = 25 =
DE = 5
The midsegment of a triangle is 1/2 the length of the corresponding side.
Therefore, BC = 2 DE = 2(5) = 10 = BC
Let, the number of regular driveways be x.
Given there are 3 fewer large driveways than regular driveways.
So, the number of large driveways =
Given, Carlas charges $10 for each regular driveway.
So for x regular driveway the amount will be = $ = $
And he charges extra $7.50 for each large driveway.
So for each large driveway Carlos charges = $ = $17.50.
For (x-3) large driveways Carlos will charge = $ = $
Given, the total amount he makes = $140
So we can write the equation as,
We will move 52.50 to the right side by adding it to both sides. We will get,
Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,
So we have got the required answer.
The number of regular driveways Carlos shovel = 7.