The acute angle inside the triangle is 57 degrees. The one labeled “1” is 123 degrees.
Answer:
The answer is D.
Step-by-step explanation:
Well, all the equations are the same except for the symbol so you don't need to figure out the equation of the line.
Anyways, note that the line is dotted, which means it cannot be A nor B since they have an "equal to."
Also, note that the shaded region is above the graph. Since it is above, it means that y is greater than whatever x is.
Thus, the answer is 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: 63.62 square m.
Step-by-step explanation:
Find the Radius so 9/2= 4.5
Area = π r²
Area 3.14(20.25)
Area equles 63.62
Combine the like terms:
3 - 12t + 8t = 3 - 4t
simplified answer is
-4t + 3
