Answer:
Option A is correct.
The missing justification is: Transitive property
Step-by-step explanation:
Given:
, 
Symmetric property of equality states the if for all real values of x , y
if x =y then, y =x.
Then, by symmetric property of equality:
we can write
as
Transitive property of equality states that if we have the two things that are equal to each other and the second thing is equal to a third thing.
i.e, if a =b and b =c
then a =c
By transitive property of equality:
if
and
then;
......[1]
Congruent angle states that the angles have exact the same measure
Therefore, by definition of congruent angles in [1] we have;

The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the x number of students tickets were sold and
y number of tickets were sold for non students.
Then we can frame two linear equations:
x + y = 320 ...(1)
18x + 25y = 6719 ...(2)
From equation (1) take the value of y and plug into the equation (2)
18x + 25(320 - x) = 6719
18x + 8000 - 25x = 6719
7x = 1281
x = 183 tickets
Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
x= 12
Step-by-step explanation:
Here we have vertical angles, this means that they are angles that are across from each other on vertical lines. So, they equal each other.
The equation would be: 60= 5x
The only step is to divide 5 to both sides of the equation.
<u>60</u>= <u>5x</u>
5 5
x= 12
Answer:
36 cubes
Step-by-step explanation:
4×3×3 = 36 cubes
One face: 4×3 = 12
There are 3 similar arrangements
To find the perimeter you just add up all the numbers on the sides
Area for a square is base times height
Area for a triangle is 1/2 base times height