Adriel is x years old and her younger sister is y years old. the sum of thei ages is 7. the difference of 3 times adriels age and her sisters age is 9. the related sum of the linear equation is x+y=7 3x-y=9. solve the linear equations. then find adriels age and her sisters age

set one of the equations to equal x or y

(substitution method)

x=7-y plug this into the other equation

3(7-y)-y=9 distribute

21-3y-y=9 --> 21-4y=9

get y alone

-4y=9-21--> -4y=-12 divide by -4 to solve

y=3 sisters age

plug this in to one of the equations to get Adriel's age

x+3=7

x=7-3

x=4 Adriel's age

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

12.5 feet

step-by-step explanation: