Answer:
x = 8
Step-by-step explanation:
Hi there!
We're given that OB is the angle bisector of angle AOC.
An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.
We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.
Set up an equation:

Combine like terms:

Therefore, x = 8.
I hope this helps!
Answer:
<h2>A) y = -5x - 8</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point on a line
We have the slope m = -5, and the point (-1, -3). Substitute:

Convert to the slope-intercept form (y = mx + b):
<em>use the distributive property</em>
<em>subtract 3 from both sides</em>

The answer is 10. Why? Well, see below for a list of steps and an explanation!
The answer to this problem is 10 because by using order of operations/PEMDAS, we can start the evaluation by solving P, which stands for Parenthesis.
Since 8 + 20 is inside parenthesis, we can start by solving this portion.
8 + 20 = 28
Now, for the next step, we can simplify by plugging 28 into the expression.
28 / 4 + 3
The E in PEMDAS stands for Exponents, but we can skip this step since there are none.
The M in PEMDAS stands for Multiplication, but we can skip this step since there is nothing to multiply.
The D in PEMDAS stands for Division, and there does happen to be division in this expression!
28 / 4 = 7
Now that we have our division portion solved, we can simplify the problem again by plugging 7 into the expression.
7 + 3
Now that we have our final simplification, we can add to get our answer.
7 + 3 = 10
Therefore, your answer is 10.
Your final answer: 10 is your final answer. If you need help, let me know and I will gladly assist you.
If 16 gallons of water evaporates per week and we have 24 weeks, we can jsut multiply it.
So

gallons of water evaporates.
Answer:
y- (0,2.5) x-(3.5,0)
Step-by-step explanation:
This is because the intercepts of a graph are the points at which a line intersects with a desired axis. So for the Y axis the inercept would be at 2.5 making the y intercept (0,2.5). The same concept is used on the X axis.