The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:
![3x-2=4x-13](https://tex.z-dn.net/?f=3x-2%3D4x-13)
Now let us add 2 to both sides gives
![3x=4x-11](https://tex.z-dn.net/?f=3x%3D4x-11)
subtracting 4x from both sides gives
![-x=-11](https://tex.z-dn.net/?f=-x%3D-11)
![x=11.](https://tex.z-dn.net/?f=x%3D11.)
Hence, x = 11.
The measure of FGH is
![3x-2=3(11)-2=31](https://tex.z-dn.net/?f=3x-2%3D3%2811%29-2%3D31)
(B)
The measure of HGI is
![4x-13=4(11)-13=31](https://tex.z-dn.net/?f=4x-13%3D4%2811%29-13%3D31)
(C)
The measure of FGI is the sum of HGI and FGH:
![\begin{gathered} \text{FGI}=\text{HGI}+\text{FGH}=31+31 \\ FGI=62^o \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BFGI%7D%3D%5Ctext%7BHGI%7D%2B%5Ctext%7BFGH%7D%3D31%2B31%20%5C%5C%20FGI%3D62%5Eo%20%5Cend%7Bgathered%7D)
<em />
Answer:
15.072
Step-by-step explanation:
Circumference = πD
= 4.8π
= 15.079644737231
5x4-3
5x4=20
so 20-3 = 17
your answer is 17.
You replace h with 4, then multiply 4 by 5 and then deduct 3 from the product.
Two inequalities that represent this situation:
First one is w>5 because they are planting more than 5 acres with wheat, or w.
Second is w+c
![\leq](https://tex.z-dn.net/?f=%5Cleq%20)
27 because the amount of wheat + corn (w+c) has to be less than or equal to 27.