Triangle ABC and triangle DEC are similar right triangles.
Based on this information, which statement is true?
The relationship between the slope of the hypotenuse of triangle DEC is greater than the
the hypotenuse of triangle ABC.
The relationship between the slope of the hypotenuse of triangle ABC is equal to the slope of the
hypotenuse of triangle DEC.
The relationship between the slope of the hypotenuse of triangle ABC and the slope of the
hypotenuse of triangle DEC cannot be determined.
The relationship between the slope of the hypotenuse of triangle ABC is less than the slope of the
hypotenuse of triangle DEC.

-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

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0