Answer:
Either 10+5 or 10-5
Step-by-step explanation:
Coefficient- the number that is multiplied by the variable
Constant- a number that stays the same and is not changed no matter what x or y equals.
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y
Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>
Answer:
See attachment for rectangle
Step-by-step explanation:
Given



Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;

So, we have:





The above represents the length of the triangle.
Next, calculate the width using:


Divide both sides by 2

This implies that, the width of the rectangle is 6 units.
We have:


Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:




<em>See attachment for rectangle</em>
By using the triangular inequality, we will see that no triangles can be made with these side lengths.
<h3>
How many triangles can be made with these side lengths?</h3>
Remember that for any triangle with side lengths A, B, and C, the triangular inequality must be true.
This means that the sum of any two sides must be larger than the other side.
A + B > C
A + C > B
B + C > A.
For the given side lengths, we will have:
8 in + 12 in > 24 in
8in + 24 in > 12 in
12 in + 24 in > 8 in.
Now, notice that the first inequality is false. So the triangular inequality is not meet. Then we can't make a triangle with these side lengths.
So we can make 0 unique triangles with these side lengths.
If you want to learn more about triangles:
brainly.com/question/2217700
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