Statement Reason
ΔABC is a right triangleBD ⊥ AC Given
∠ ABC = ∠BDC Right angles have the same measure.
∠ BCA = ∠ BCD same angle
ΔABC ~ΔBDC AA Similarity Postulate
BC
DC
=
AC
BC
Corresponding sides of similar triangles are proportional
BC2 = (AC)(DC) Cross multiplication
∠ ABC = ∠ADB Right angles have the same measure
∠ BCA = ∠ BAD same angle
ΔABC ~ΔABD AA Similarity Postulate
AB
AD
=
AC
AB
Corresponding sides of similar triangles are proportional
AB2 = (AC)(AD) cross multiplication
AB2 + BC2 = (AC)(AD) + (AC)(DC) Addition
AB2 + BC2 = (AC)(AD + DC) ?
AB2 + BC2 = (AC)2 Addition

What is the missing reason?

A) Addition Property
B) Division Property
C) Associative Property
D) Distributive Property

3x^3-x^2+6x-9

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

1; 35 is the ratio

step-by-step explanation:

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be