Solve for x and y. 30-60-90 triangles

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The hypotenuse = 6

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = x and hypotenuse = 6

cos 60° = x / 6

6 × cos 60° = x

x = 3

Thus, the value of x is:

And using the trigonometric ratio

sin 60° = opposite / hypotenuse

substituting opposite = y and hypotenuse = 6

                      ∵

Therefore, the value of y is:

Summary:

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.

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step-by-step explanation: