Answer: D
Step-by-step explanation: A is not possible because the shape and the way it is drawn is nearly the same as the figure given. The shape of B is different from the given shape. C is a little too flat to be considered symmetrical to the figure. Which leaves only option D.
Hope this helped :D
Answer
Arc EF = 52°
Arc HD = 142°
Angle HGF = 128°
Explanation
To solve for the unknown angles, we need to first solve for x
To do that, we need to first note that the sum of angles on a straight line is 180°
So,
Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)
Angle HCG = 2x
Angle HCD = 6x + 28°
Angle HCG + Angle HCD = 180°
2x + 6x + 28° = 180°
8x + 28° = 180°
8x = 180° - 28°
8x = 152°
Divide both sides by 8
(8x/8) = (152°/8)
x = 19°
Angle HCG = 2x = 2 (19°) = 38°
Angle HCD = 6x + 28° = 6(19°) + 28° = 142°
So, we can solve for the rest now
Arc EF = Angle ECF
= 90° - Angle ECD
Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)
Arc EF = Angle ECF
= 90° - Angle ECD
= 90° - 38°
= 52°
Arc HD = Angle HCD = 142°
Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°
Hope this Helps!!!
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
