Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
Answer:
Center of the circle = (10, 5)
Radius = 10
Step-by-step explanation:
Look at the picture
Answer: x = (2 y)/5 - 6/5 , y = (5 x)/2 + 3
Solve for x:
2 y - 5 x = 6
Subtract 2 y from both sides:
-5 x = 6 - 2 y
Divide both sides by -5:
Answer: x = (2 y)/5 - 6/5
Solve for y:
2 y - 5 x = 6
Add 5 x to both sides:
2 y = 5 x + 6
Divide both sides by 2:
Answer: y = (5 x)/2 + 3
