Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40 The third number in the sequence is x+2
4x+6=40 8.5+2=10.5
4x+6-6=40-6 Therefore the third number in the sequence is
4x=34 10.5
4x/4=34/4
x=8.5
F-1(x)=x/4 represents the inverse function because to find the inverse you have to interchange the variables & solve for y
Step-by-step explanation:
Part A: We can write 40 + x + 25 = 180 because these angles are supplementary, meaning they add up to 180 degrees, and when we solve for x, we get x = 115°.
Part B: We can write y = x + 25 because these two angles are vertical angles, meaning they are equal and formed from the same lines. We know that x = 115°, so when we plug that in we get y = 140°.
Part C: z = 40° because these two angles are vertical angles. I hope this helps!
* r^2