Find value of x. Round answer to nearest tenth.

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 10.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 6

the opposite side of the right angle triangle is the unknown side.

To determine x, we would apply

the Cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cosx = 6/10 = 0.6

x = Cos^-1(0.6)

x = 53.1° to the nearest tenth.

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:

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis