2questions geometry : ) if you 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

351°f

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is