Answer:
A
Step-by-step explanation:
SAS = side-angle-side
This means that, in order to prove that the triangles are congruent, they must have two congruent sides with the angle between them to the same.
We know that sides AB, ED, AC, and DF are all congruent as they all have a single mark through them. From this, you can conclude that the triangles already share two sides. All we need now is the angles in between to be congruent. This means that angle A and angle D need to be congruent.
I hope this helps!
360=LW
<span>W=5/8 L </span>
<span>360=L*5/8 L=5/8 L^2 </span>
<span>L^2=8*360/5=8*72 </span>
<span>L=sqrt(4*144)=24
The length is 24</span>
They are inverses if f( (g(x)) = x
f((g(x)) = (1/2) (2x + 4) - 2 = x + 2 - 2 = x
so this proves that g(x) is the inverse of f(x)
the other inverse g((f(x)) should also be = x
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters