Answer:
The mid-point between the endpoints (10,5) and (6,9) is:
Step-by-step explanation:
Let (x, y) be the mid-point
Given the points
Using the formula to find the mid-point between the endpoints (10,5) and (6,9)
Here:
Thus,
Therefore, the mid-point between the endpoints (10,5) and (6,9) is:
Given:
Measure of arcs 50°, 115° and 85°
To find:
The measure of the numbered angle 5.
Solution:
Let the missing arc measure be A.
The arc measure of a full circle is 360°
m(ar A) + 50° + 115° + 85° = 360°
m(ar A) + 250° = 360°
Subtract 250 from both sides.
m(ar A) = 110°
<em>If two chords intersects inside a circle, then the measure of the angle formed is half of the sum of intercepted arcs.</em>
The measure of the numbered angle is 112.5°.