A diagonal of a television screen measure 30 inches. The screen is 18 inches tall, as shown. which expression is equal to the length of the television screen in ,inches

24 inches

Step-by-step explanation:

The television is  a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in  no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches

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:

hi,

i'm 75% sure the answer is 1,1 to both lines.

have a great day