Mario is writing a coordinate proof to show that the perpendicular bisector of an isosceles triangle's base divides it into two triangles of equal area.

a triangle is graphed on a coordinate plane. the vertices of triangle are labeled as a, b and c. the vertex labeled as a lies on begin ordered pair 0 comma 0 end ordered pair. the vertex labeled as b lies on begin ordered pair x comma y end ordered pair. the vertex labeled as c lies on begin ordered pair 2 x comma 0 end ordered pair. point d lies on side a c. an altitude is drawn from point b to point d.

enter your answers in the boxes to complete mario's proof.

since a perpendicular bisector bisects a segment, the coordinates of d are (
,
).

in △bcd, the length of the base is
and the height is y. so an expression for the area of △bcd is 12xy .

in △abd, the length of the base is
and the height is
. so an expression for the area of △abd is 12xy .

comparing the two areas shows that the perpendicular bisector of an isosceles triangle divides the triangle into two triangles of equal area.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

n word

step-by-step explanation:

what lives in the hood

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