Hello!
For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.
This means that to find 
, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.
This means that 9 should also be the side length of side AD, which we're given a value of 
.
Solve.
Hope this helps!
Well, keep in mind that the domain of a function is the entire set of possible values of the independent variable. To make it more clear, the domain is the set of all possible x-values, which will make the function work, and with real y-values as the output. So, the range would be the set of all of the second elements of an ordered pair (y-coordinates).
If you made a T chart like the picture you have above, you would have to put x (age of person) and y (books read).
So,
x = age of person
y = books read
f(x) = 3x² + 2
3x² + 2 = 0
3x² = -2
3² + 2 = -2/3
F (-2/3) = 3 (-2/3) cross out the three + 2
= -2 + 2 = 0
Hope this helps a bit...
<h3><em>1. This is a <u>Quadrilateral </u></em><em><u>Polygon </u></em><em><u>(</u></em><em><u>4</u></em><em><u> </u></em><em><u>sides)</u></em></h3><h3><em>2. This is a <u>Pentagon </u></em><em><u>Polygon </u></em><em><u>(</u></em><em><u>5</u></em><em><u> </u></em><em><u>sides)</u></em></h3>
Using a system of equations, it is found that there were 4,000 children tickets sold.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given by:
- Variable x: Number of children tickets sold.
- Variable y: Number of adult tickets sold.
The attendance at the amusement park is 5,000 attendees, hence:
x + y = 5000 -> y = 5000 - x.
Considering the cost of parking and that the total money earned by the park is $100,000, we have that:
15x + 40y = 100000
Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:
15x + 40(5000 - x) = 100000
25x = 100000
x = 100000/25
x = 4000.
More can be learned about a system of equations at brainly.com/question/24342899
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