Name the coordinates of P(-5, 8) under a translation along the vector <
2, -1>.

P'(-3, 7)

Step-by-step explanation:

The translation vector <2, -1> means that to translate a point, add 2 to the first coordinate and subtract 1 from the second coordinate.

P(-5, 8) moves to P'(-5+2, 8 - 1) = P'(-3, 7).

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.