For this case, the first thing we must do is define variables.
We have then:
x: Maggie's age
y: Age of Maggie's brother
We write the system of equations that models the problem.
We have then:

We solve the system of equations.
For this, we use substitution:

From here, we clear the value of x:


Answer:
Maggie is 9 years old
Answer:
14.3
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
14^2 + 3^2 = c^2
196 + 9 = c^2
205 = c^2
Take the square root of each side
sqrt(205) = sqrt(c^2)
14.31782106 = c
Rounding to the nearest tenth
14.3 = c
Answer: Dilated and then translated
Step-by-step explanation: