Is line BC parallel to line DE? Choose the best justification. a Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 3 from point A. b Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of 2 from point A. c Line BC is parallel to line DE because triangle ABC is a dilation of triangle ADE by a scale factor of \large \frac{4}{3} from point A. d Line BC is not parallel to line DE because there is no dilation that sends triangle ADE to triangle ABC.

(x+3)(x+7)

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

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