Answer: 115 degrees
Step-by-step explanation: By the property of alternate interior angles, they are congruent.
First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:
-23
Step-by-step explanation:
1. When multiply a positive number by a negative number, the answer will always be negative.
2. When we multiply any number by 1, that number will stay the same.
Therefore, the answer is -23!
Step-by-step explanation:
write a formula that models this.
9.30x = money earned
If he works 2 hours, he'll get $9.30 times (2)
and so on. so you write and solve
9.30(1), 9.30(5), 9.30(8)
for the second part you want to substitute 180 for the amount earned which will become
9.30x = 180 then you solve for x
