Answer:
a) m arc AD = 145
b) D = 10
Step-by-step explanation:
a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.
The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°
The arc length is identical to the arc angle when measured between radii.
b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.
Diameter is twice radius = 10
Answer:
- (a) 104 = 4(12+x)
- (b) x = 14
Step-by-step explanation:
(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.
The perimeter is the sum of the lengths of the four equal sides, so is ...
perimeter = 4 × side length
104 = 4(12+x)
(b) We can solve this by dividing by 4, then subtracting 12.
26 = 12 +x . . . . . divide the above equation by 4
14 = x . . . . . . . . . subtract 12
The solution is x = 14.
The answer is B) which is letter E . hope this helps <3
Answer:
As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices. For any convex polygon, all the diagonals are inside the polygon, but for re-entrant polygons, some diagonals are outside of the polygon.
Step-by-step explanation:
Answer: 60°
Step-by-step explanation: A straight angle is 180°
180°- 120° = 60°
