Julia has determined that CE is perpendicular bisector of AB. The next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
<h3>What is the Perpendicular Bisector Theorem?</h3>
The perpendicular bisector theorem states that if a point is located on a segment (perpendicular bisector) that divides another segment into two halves, then it is equidistant from the two endpoints of the segment that is divided.
Thus, since Julia has determined that CE is perpendicular bisector of AB, therefore the next step of a valid proof would be: <em>B. AC = BC based on the </em><em>perpendicular bisector theorem</em>.
Learn more about the perpendicular bisector theorem on:
brainly.com/question/2035717
1 yard= 36 inches
10 yards* 36= 360 inches.
360 inches= 360 inches
So, 10 yards and 360 inches are equal.
Answer:
Week=25 Hours
Weekend= 5 Hours
Step-by-step explanation:
So we need to use the info they gave us and create two equations. Firstly we know how much he gets paid per hour during the week (x) and how much he gets paid on the weekend (y).
$20x+$30y=$650
We get this because we know the combined rates he is paid times the hours should add up to the amount he earned.
The next equation will be made off of the information that he worked 5 times as many hours during the week as on the weekend. This tells us that we will take the weekend hours (y) and multiply them by 5 in order to get the week hours (x).
x=5y Now, since we have one variable by itself, we can plug it in for x in the first equation.
20(5y)+30y=650 Our first step here is to distribute the 20 to the 5y in order to eliminate the parenthesis.
100y+30y=650 Next add the like terms together (100y+30y).
Now all we have to do to find y is divide by 130 on both sides to get y alone.
130y=650
________
130 130
y=5 Now to solve for x we just plug our y value into one of the equations above. I'm going to use the second equation.
x=5(5)
x=25
Answer:
the answer is B
Step-by-step explanation:
hoped I helped:)
Answer:
x = 38
y = 25
Step-by-step explanation:
To find x, you do
(2x + 5) = (3x - 33)
Subtract 2x from both sides to isolate x on one side, you get:
5 = (x - 33)
Add 33 to both sides to separate the normal number from the x, you get:
38 = x
From there, you plug x into one of the equations
2(38) + 5
The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:
(4y - 1) = 99
Add one to both sides to get rid of it, you get:
4y = 100
Divide by four, to get the y all alone:
y = 25
I hope this helped!
