The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
Answer:

Step-by-step explanation:
Given

Required
Find f(x - 4)
Substitute x - 4 for x

Expand

Collect like terms


Answer:
250
Step-by-step explanation:
1. 190 students is the number that is 100-24 = 76% of the 6th grade population
0.76x = 190
x = (190/.76) = <u>250</u>
Answer:
It Is true and then false
Step-by-step explanation:
If they are all in a line then we can find the equation of their line using: y = mx + b
First find m using points (2,5) and (3,3)
m = (5-3)/(2-3) = 2/-1 = -2
Now using (3,3) and m= -2 to solve for b:
3 = -2(3) + b
3 = -6 + b
9 = b
So our equation is y = -2x + 9
That is the solution for question b)
Now to find the mystery point, solve:
1 = -2x + 9
-8 = -2x
4 = x
So our mystery point is (4,1)
So for part a) the answer is k = 4