HELP ME PLEASE SOOO MANY POINTS 40 Task 1: Pythagorean Theorem
a. State whether the bases are equilateral triangles.
b. Determine whether there is enough information to prove the lateral sides are rectangles.
c. Apply the converse of the Pythagorean Theorem to prove the lateral sides are rectangles.
d. Find the length of the hypotenuse.
e. Determine which lateral face has the largest area.

Task 2: Volume
a. Give the measurements needed to find the volume of a cylinder.
b. Find the refraction cup’s radius.
c. State what shape two refraction cups make.
d. Find the volume of two refraction cups.
e. Derive the formula for the volume of one refraction cup.
f. Use the formula to find the volume of one refraction cup.

d: (13,-1)

step-by-step explanation:

we know the starting point is (1,5)

the ending point is (x,y)   (cristians house)

the total distance is 6 units (5: 1)  

the fast food restaurant is at (11,0) and is 5/6ths of the way from the starting point to the ending point

ending minus starting point * 5/6   is how far they went

(x-1) *5/6, (y-5) * 5/6

we then need to add the starting point to determine the location

5/6(x-1) + 1, (y-5) * 5/6 + 5

this equals the fast food location of 11,0

setting the x locations equal

5/6 (x-1) +1 =11

subtracting 1 from each side

5/6 (x-1) +1-1 =11-1

5/6(x-1) =10

multiplying by 6/5 on each side

6/5*5/6(x-1) = 10*6/5

x-1 =12

add 1 to each side

x-1+1 =12+1

x=13

do the same for the y coordinate

(y-5) * 5/6 + 5 =0

subtract 5 from each side

(y-5) * 5/6 + 5-5 =0-5

5/6 (y-5) = -5

multiplying by 6/5 on each side

6/5*5/6 (y-5) = -5 *6/5

y-5 = -6

add 5 to each side

y-5+5 = -6+5

y=-1

the ending point , or the coordinates of cristians house is

(13,-1)