Answer:
The correct answer is x = 12.
Step-by-step explanation:
To solve this problem, we must remember that an angle bisector divides the angle into two smaller, equal angles. This means that we can set the values for each of these smaller angles equal to one another, given that the angle is bisected. This is modeled below:
9x - 54 = 4x + 6
Now, we can solve this equation like any other. The first step is to subtract 4x from both sides.
9x - 4x - 54 = 4x - 4x + 6
5x - 54 = 6
Then, we should add 54 to both sides.
5x - 54 + 54 = 6 + 54
5x = 60
Finally, we can divide both sides by 5.
5x/5 = 60/5
x = 12
Therefore, the correct answer is x = 12.
Hope this helps!
a. y = (x − 5)^2 − 2
b. y = (x − 1)^2 + 12
c. left 4 units, up 14 units
We can just substitute y = 4x+1 in the second equation.
We know the value of x, substitute x in any equations to get the y-value.
The value of y is 3 and the value of x is 0.5 aka 1/2
Since you want the solution as a point then It's below here.
Answer:
<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>
Step-by-step explanation:
Variables can be used to create equations and set up a system of equations. I used the following variables:
Tulip bulbs= t
Daffodil bulbs= d
We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.
Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.
6t+ 6d= 78
Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.
6t+ 4d= 62
Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.
(substitution)
Isolate one of the variables in the first equation.
6t+ 6d-6t = 78-6t
6d/ 6= (-6t+78)/6
d= -t+13
Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.
6t+ 4(-t+13) = 62
6t- 4t+52 = 62
2t = 10
<u>t= 5</u>
Substituting t=5 for the value of t in equation 1, and solve of d.
6(5)+ 6d= 78
30+ 6d= 78
6d=48
<u>d=8</u>
<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>
