For this case we have that the sum of the angles DEF and FEG is equal to 180 degrees.
Therefore, we have:
From here, we clear the FEG angle.
We have then:
FEG = 180 - DEF
Substituting values we have:
FEG = 180 - 129
FEG = 51
Then, on the other hand we have that the sum of the angles FEG and HEG is equal to 180 degrees.
Therefore, we have:
HEG + FEG = 180
From here, we clear the HEG angle:
HEG = 180 - FEG
Substituting values we have:
HEG = 180 - 51
HEG = 129
Answer:
The values of HEG and FEG are:
FEG = 51
HEG = 129
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π → A = π - (B + C)
→ B = π - (A + C)
→ C = π - (A + B)
Use Sum to Product Identity: sin A - sin B = 2 cos [(A + B)/2] · sin [(A - B)/2]
Use the following Cofunction Identity: cos (π/2 - A) = sin A
<u>Proof LHS → RHS:</u>
LHS: sin A - sin B + sin C
= (sin A - sin B) + sin C
Answer:
x = 50
Step-by-step explanation:
This is a ratio question and we are interested in calculating the value of x.
Let’s make the mixed fraction an improper fraction;
2 2/7 = 16/7
Thus;
16/7 : 0.6x = 4/21 :0.25
Removing the ratio sign;
16/7/0.6x = 4/21/0.25
16/0.42x = 4/5.25
Now cross multiply;
16 * 5.25 = 4 * 0.42x
84 = 1.68x
x = 84/1.68
x = 50
You've certainly tried hard to describe it in enough detail so that
it can be answered without seeing the diagram. Sadly, it's not
enough.
We still don't know what's tangent to what, where point 'C' is, or
how any of this relates to a circle. You'll have to figure out some
way or us to see the diagram.
Answer: 5 represents the coefficient.
Step-by-step explanation: