40 POINTS NEED HELP ASAP
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and z(4, 0).
Drag and drop the choices into each box to correctly complete the sentences.

IM A BUSY HIGHSCHOOLER AND NEED HELP AS SOON AS POSSIBLE I KEEP GETTING THIS WRONG AN EXPERTS OR GENIUS OUT THERE THAT COULD HELP ME

please no random answers I already got this wrong like 3 times its my last chance

Use slope formula: y2-y1/x2-x1

XZ: -5/9
YZ: 2/7
XY: -7/2

XYZ is a right triangle because two of these slopes have a product of -1.

(YZ and XY does). We are all busy these days.

Answer Link

calculista calculista · Answer 2 · 2018-10-30T20:32:06+01:00

we know that

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

[tex]m1*m2=-1[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

we have

[tex]x(-5,5)\\y(-3,-2)\\z(4,0)[/tex]

Step 1

Find the slope xz

[tex]x(-5,5)\\z(4,0)[/tex]

Substitute in the slope's formula

[tex]m=\frac{(0-5)}{(4+5)}[/tex]

[tex]m=\frac{(-5)}{(9)}[/tex]

[tex]mxz=-\frac{5}{9}[/tex]

Step 2

Find the slope yz

[tex]y(-3,-2)\\z(4,0)[/tex]

Substitute in the slope's formula

[tex]m=\frac{(0+2)}{(4+3)}[/tex]

[tex]m=\frac{(2)}{(7)}[/tex]

[tex]myz=\frac{2}{7}[/tex]

Step 3

Find the slope xy

[tex]x(-5,5)\\y(-3,-2)[/tex]

Substitute in the slope's formula

[tex]m=\frac{(-2-5)}{(-3+5)}[/tex]

[tex]m=\frac{(-7)}{(2)}[/tex]

[tex]mxy=-\frac{7}{2}[/tex]

Step 4

Verify if two of the slopes are perpendicular

[tex]mxz=-\frac{5}{9}[/tex]

[tex]myz=\frac{2}{7}[/tex]

[tex]mxy=-\frac{7}{2}[/tex]

Multiply myz and mxy

[tex]\frac{2}{7}*-\frac{7}{2}=-1[/tex] -------> the lines segment yz and xy are perpendicular

therefore

the triangle XYZ is a right triangle

the answer in the attached figure