Find x.

answer choices
7
7√2
√14

x=7

Step-by-step explanation:

This is a right triangle, we can use sin , cos, and tan

tan theta = opposite side/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7/x *x

x tan 45 =7

Divide each side by 45

x tan 45 / tan 45 = 7/ tan 45

x = 7 / tan 45

x =7

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

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