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!!!
5≤1e+ .25p
E represents erasers and p pencils
These all should be correct
Step-by-step explanation:
< ABE = 180° - 63° = 117° ans
Answer:
width = 150 yards
length = 200 yards
Step-by-step explanation:
Using the information given to us, we can make the following two equations:
2L + 2W = 700
L = W + 50
where L is the length in yards and W is the width in yards. This could treat these two equations as a system of linear equations. There are multiple ways to solve a system of linear equations, but I am going to solve this by substitution. Before doing that, I am first going to simplify the first equation, as it will make solving the system easier.
2L + 2W = 700
Divide both sides by 2.
L + W = 350
Since L = W + 50, we can substitute W + 50 for L in the equation L + W = 700.
(W + 50) + W = 350
2W + 50 = 350
2W = 300
W = 150
Now that we found what W is, we can solve for L by plugging 150 into either one of the equations. I am going to plug it into the equation L = W + 50.
L = 150 + 50
L = 200
Now we found what L is. So now we know that the width is 150 yards and the length is 200 yards.
I hope you find my answer and explanation helpful. Happy studying. :)
