Answer:
- X'(5, 2)
- Y'(0, 1)
- Z'(-1, -4)
Step-by-step explanation:
The translation increases each x-coordinate by 3, moving the point 3 units to the right. It decreases each y-coordinate by 1, moving the point 1 unit down.
(x, y) ⇒ (x+3, y-1)
X(2, 3) ⇒ X'(5, 2)
Y(-3, 2) ⇒ Y'(0, 1)
Z(-4, -3) ⇒ Z'(-1, -4)
The red arrows show the translation of each point in the graph.
Answer: 
Step-by-step explanation:
For this exercise you need to use the Inverse Trigonometric function arcsine, which is defined as the inverse function of the sine.
Then, to find an angle α, this is:
In this case, you can identify that:
Then, substituting values into and evaluating, you get that the measure of the angle "C" to the nearest degree, is:
A triangle has 3 angles.
The sum of the measures of the angles of a triangle is 180.
In an equilateral triangle, all angles have the same measure.
180/3 = 60
Answer: 60 degrees.
