Answer:
x = 31°
Step-by-step explanation:

Answer:
3) 5
4) 8.2
5) 6.8
6)FG = 6.4
7) EF = 3.6
8)DF = 4.8
Step-by-step explanation:
From the attached triangle, using trigonometric ratio we can find ∠G as; tan^(-1) (6/8)
Thus, ∠G = 36.87°
Still using trigonometric ratios;
FG/8 = cos 36.87°
FG = 8 cos 36.87°
FG = 6.4
3) EF + FG = EG
Since EG is 10, mean of EF and FG = 10/2 = 5
4) mean of EG and FG = (10 + 6.4)/2 = 8.2
5) EF + FG = EG
Thus; EF = EG - FG
EF = 10 - 6.4
EF = 3.6
Mean of EG and EF = (10 + 3.6)/2 = 6.8
6) FG = 6.4
7) EF = 3.6
8) Using trigonometric ratio;
DF/8 = sin 36.87
DF = 8 × 0.6
DF = 4.8
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.
Thus, 360 = 2(2x + 10) + 2(x+ 5)
360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
~For this problem, you need to divide.
~The easy way that I think might help you is if you change the fraction into a decimal.
Now divide $8.47 by 0.875
The price per pound of the coffee was $9.68
The equation has 1 solution