Answer:
Part 1) An expression for the x-coordinate of T is (a+2)
Part 2) The value of x=39 ft (see the explanation)
Step-by-step explanation:
Part 1)
step 1
we know that
The rule of the reflection of a point across the x-axis is equal to

Apply the rule of the reflection across the x-axis to the Q coordinates
Q (a,b) ----------> Q'(a,-b)
step 2
The translation is 2 units to the right
so
The rule of the translation is
(x,y) ----> (x+2,y)
Apply the rule of the translation to the Q' coordinates
Q'(a,-b) -----> T(a+2,-b)
therefore
An expression for the x-coordinate of T is (a+2)
Part 2)
we know that
A reflection is a rigid transformation, the image is the same size and shape as the pre-image
In this problem the floor plan house A and the floor house B have the same size and shape
That means that its corresponding sides and corresponding angles are congruent
therefore
The value of x=39 ft
Adjacent angles
Step-by-step explanation:
Adjacent = next to / side by side
This is a right triangle and you can use the Pythagorean theorem to find the missing side.
5^2 + 12^2 = c^2
25 + 144 = c^2
169 = c^2
square root of 169 = c
13.
So the missing side is 13m
He sold about <span>80% of his tickets</span>