The definition of an angle bisector is a bisector that cuts an angle into two equal halves.
So BD bisects ∠ABC, therefore ∠ABD = ∠DBC
We can set the expressions inside them equal to each other, solve for x, and substitute it into the expressions again to find the total value of the angle.
4x - 15 = 3x + 12
- 3x - 3x
______________
x - 15 = 12
+ 15 + 15
______________
x = 27
So x = 27, we can plug this back into an expression and do the same with the second one and add them, or, because we know they are equal, just multiply two once we find the value of the first one.
4(27) - 15
= 108 - 15
= 93
Multiply 93 by 2.
93 x 2 = 186
Therefore m∠ABC is 186°
Hope this helps! :)
The scatterplot that shows a strong association between two variables even if the correlation is near zero is graph C.
<h3>
What is zero correlation?</h3>
Correlation is a measure that is used in statistics to measure the linear relationship that exists between two variables.
Zero correlation is when there is no linear relationship between the variables been studied. When it is shown on a graph, zero correlation would have no clear linear trend either positive or negative. A linear trend is roughly a straight line. A linear trend is positive if it slopes upward and negative if it slopes downward.
Please find attached the complete question. To learn more about correlation, please check: brainly.com/question/27246345
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<h3>What is the value of the sum 1/3 + 2/3+ 2/3+ 4/3 + 5/3+6/3+7/3+8/3</h3>
<h2>ANSWER</h2>

Decimal Form:

Mixed nunber Form:

Answer:
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Step-by-step explanation:
Let
x ----> the length of rectangular volleyball court
y ---> the width of the rectangular volleyball court
we know that
The area of the rectangular volleyball court is equal to


so
----> equation A
-----> equation B
substitute equation B in equation A


Solve for y
Simplify

take square root both sides

<em>Find the value of x</em>

substitute the value of y

therefore
The dimensions of the rectangular volleyball court are 60 ft x 30 ft