One endpoint of a line segment has coordinates represented by (x+6, 1/3y). The midpoint of the line segment is (2,−5). How are the coordinates of the other endpoint expressed in terms of x and y?

The coordinates of the other endpoint are .

Step-by-step explanation:

Let a line segment in which is the midpoint. If both and are given, then we determine the location of from definition of midpoint. That is:

(Eq. 1)

Where:

, - Endpoints with respect to origin, dimensionless.

- Midpoint with respect to origin, dimensionless.

If we know that and , then the coordinates of are:

The coordinates of the other endpoint are .

i would say true? if the unit was informational and it "refreshed your understanding", then true.

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°.