Determine the value of x and y

x = 28, y = 23

Step-by-step explanation:

5y - 4 and 3y are alternate exterior angles and are supplementary, thus

5y - 4 + 3y = 180

8y - 4 = 180 ( add 4 to both sides )

8y = 184 ( divide both sides by 8 )

y = 23

Thus

3y = 3 × 23 = 69

2x + 13 and 3y are corresponding angles and congruent, thus

2x + 13 = 69 ( subtract 13 from both sides )

2x = 56 ( divide both sides by 2 )

x = 28

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

there is nothing below so i cannot

step-by-step explanation: