Paul designed a doghouse to fit against the side of his house. His plan consisted of a right triangle on top of a rectangle. Drag and drop the numbers into the boxes to show the length of each segment.

BD = 37

CE = 36

BE = 42.19

Step-by-step explanation:

AE = BC

    = 22

BC + CD = BD

22 + 15 = 37

BD = 37

The Pythagorean theorem states that in a right-angled triangle

= c² where c is the slant length, a and b are the two dimensions that are perpendicular to each other.

You know the slant length (DE) of a triangle is 39, one of the dimensions (DC) is 15, so you can find the other dimension, CE.

= 39

15² + CE² = 39²

Evaluate.

225 + CE² = 1521

CE² = 1521 - 225

      = 1296

CE =

     = 36

Now that you know the length of CE, you also know the length of AB, since they are equal lengths.

CE = AB

    = 36

We can apply the same formula to find the slant length of the triangle ABE, which is BE.

= BE

= BE

= BE

BE = 42.19 (rounded to 2 d.p.)  

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

1e+27

step-by-step explanation: