The little tic marks on each of the triangle's sides are there to tell you that the sides are all equal, and therefore, yes, it is an equilateral triangle.
Since all the sides are equal, a geometry theorem tells us that all the angles are equal.
You may try to set the two expressions for the two angles equal to each other, but you will still be stuck.
Since all three angles are equal, and since there are a total of 180 degrees in a triangle, each angle has to be 60 degrees.
So to find y, set the expression for angle A equal to 60 and solve for y.
60 = 5y + 10
50 = 5y
10 = y
y = 10
Answer:
9 a²+24a+16
Step-by-step explanation:
hope it's helpful to you ☺️
Answer:
14
Step-by-step explanation:
The law of cosines is a² = b²+c²-2bc(cos A).
We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.
Angle A will be the angle opposite side a, or in this case side s. This makes it 111.
This gives us
s² = 8²+9²-2(8)(9)(cos 111)
s² = 64+81-2(8)(9)(cos 111)
s² = 145-144(cos 111)
s² = 196.605
Take the square root of each side:
√(s²) = √(196.605)
s = 14.02 ≈ 14
Answer:
(f ○ g)(11) = - 1
Step-by-step explanation:
evaluate g(11) then substitute the result obtained into f(x)
g(11) = 11 - 7 = 4 , then
f(4) =
- 3 = 2 - 3 = - 1