Find x. This is the information that is given.

4 sqrt(3) = x

Step-by-step explanation:

We have similar triangles

The ratios of the sides have to be in proportion

The large triangle has sides x and hypotenuse 12

The small triangle has side 4 and hypotenuse x

We can write the ratio of sides to hypotenuse

x          4

=

12         x

Using cross products

12*4 = x^2

48 = x^2

Taking the square root

sqrt(48) = sqrt(x^2)

sqrt(3*16) = x

sqrt(16) sqrt(3) = x

4 sqrt(3) = x

Option 1

Step-by-step explanation:

x is the hypotenuse of the smallest triangle and a base for the biggest one

Use similar figures:

x/12 = 4/x

x² = 12×4

x² = 48

x = sqrt(48)

x = 4sqrt(3)

sqrt: square root

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

168

step-by-step explanation:

i am pretty sure that the answer is 168