Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) The slope formed by ΔABC has a value that is 1 2 the slope formed by ΔCDE. B) The slope formed by ΔCDE has a value that is 2 times greater than the slope formed by ΔABC. C) The slope formed by ΔABC has a value that is 2 times greater than the slope formed by ΔCDE. D) The slope formed by ΔABC has a slope that is equal to the slope formed by ΔCDE.

A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Step-by-step explanation:

Find the diagram attached.

Slope is the change in y coordinates tom that of x coordinate of a line.

Slope = Δy/Δx

Slope = y2-y1/x2-x1

For ΔABC,

A(-3, 6) and C = (-1, 3)

Slope = 3-6/-1-(-3)

Slope = -3/-1+3

Slope = -3/2

Slope of line AC is -3/2

For ΔCDE,

C = (-1, 3) and E = (3, -3)

Slope = -3-3/3-1

Slope = -6/2

Slope = -3

Slope of line CE is -3

From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)

-3/2 = 1/2 (-3)

-3/2 = -3/2

Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.