Answer:
<BAC = 20°
Step-by-step explanation:
It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.
Which means 9 angles collectively can be written as 9 · <BAC
If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.
A semicircle has a total sum of angles equal to 180°
So we can write that:
9 · <BAC = 180°
Simplify for <BAC
<BAC = 20°
Three consecutive odd integers are n, n+2 and n+4
n + n+2 + n+4 = -87
3n + 6 = -87
3n = -87 - 6
3n = -93
n = -93/3
n = -31
n+2 = -31 + 2 = -29
n+4 = -31 + 4 = -27
The numbers are -31, -29 and -27
Step-by-step explanation:
"If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. If any two angles and the included side are the same in both triangles, then the triangles are congruent."
Answer:
f(g(7)) = 22
Step-by-step explanation:
First find the general form of the new equation, f(g(x)):
f(x)=3x + 2
g(x)=x - 1/3
f(g(x)) = 3(x - 1/3) + 2
You can simplify that, or alternatively just plug in 7 now and solve:
f(g(7)) = 3(7 - 1/3) + 2
f(g(7)) = 3(20/3) + 2
f(g(7)) = 20 + 2
f(g(7)) = 22
