y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer:
1. the vertex form of your function is f(x)= (x+-2)^2+-7
The vertex is at (2,-7)
2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4
The vertex is at (7/2, -41/4)
Step-by-step explanation:
Answer:
A: She earns 10 dollers per houer
B: x*2=y
Step-by-step explanation:
Answer:
Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
Step-by-step explanation:
To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:

Divide the fraction by
to calculate the unit rate:

So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by
:
× 

Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.
_
Check your work by dividing
by
to see if you will get your initial unit rate:
÷ 

Therefore, our solution is correct!
Answer: See explanation
Step-by-step explanation:
Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:
3x = 45
x = 45/3
x = 15
Therefore, 15 3-person team can be formed.