Answer:
The area of the field = 19966.21 units²
Step-by-step explanation:
* Lets explain how to find area of a triangle by trigonometry rule
- In any triangle if you have the lengths of two sides and the measure
of the including angle between these two sides, then the area of the
triangle is A = 
, wher α is the
including angle between them
* Lets solve the problem
∵ The field is shaped triangle
∵ The lengths of two sides of the field are 218.5 and 213.3
∴ s1 = 218.5
∴ s2 = 213.3
∵ The measure of the angle between the two sides is 58.96°
∴ α = 58.96°
- Lets find the area using the rule of trigonometry
∴ 
∴ The area of the field = 19966.21 units²
Secant is the same as 1/cos so you can just write it as 1/2pi then you can put that into your calculator as 1/cos(2pi) and it equals 1.
A
Find the two intersections of the lines. The value of x of the intersections will satisfy the system of equations.
Brainliest pls!
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
