Draw or Cut two similar squares with sides units long.
Draw or cut four pairs of similar right triangles with side lengths as indicated in the diagram.
Now arrange the similar triangles at the corners of the squares such that the sides of one similar triangle plus the side of a second similar triangle coincides with the length of the square.
We do another arrangement of the similar triangles. This time arrange another 4 similar triangles in the opposite corners, such that each pair forms a square.
Now comparing the two different arrangements we got two different areas that are equal.
The area of the uncovered squares in the first arrangement is
The area of the two uncovered squares in the second arrangement is
Equating the two areas gives the Pythagoras Theorem
Note that is the hypotenuse, and are two shorter sides of the similar right triangles.
Answer:
x=6
Step-by-step explanation:
(1/3x+2=4)x3
x+6=12
x=12-6
x=6
The best ticket deal are illustrations of linear equations
The ticket system is a better deal to the max ticket
<h3>How to determine the best ticket deal</h3>
From the complete question, we have the following summary:
Charges = $22 per person
Surcharge = $10 per transaction
Charges = $20 per person
Surcharge = $16 per transaction
Assume there would be only one transaction, the linear equations that represent the ticket deals are:
Ticket System: y = 22x + 10
Max Ticket: y = 20x + 16
The costs of ticket for two people in both deals are:
Ticket System: y = 22*2 + 10 = 54
Max Ticket: y = 20*2 + 16 = 56
By comparison;
54 is less than 56
This means that the ticket system is a better deal to the max ticket
Read more about linear equations at:
brainly.com/question/14323743
So first of all they are similar because they are in the same degree and the top and bottom of each one is equal, and so are the left and right. You need to set up a proportion of 10:3.12 and 5:1.2 because those are the sides that match up. They match because if you rotate the second figure to the right it would match the figure on the right. The only available answer then out of 10:3.12 and 5.12 is letter A. Hope this helps comment if you need any more help or it’s confusing.
X/4 +x/5 -x/6=1
make the denominator the same:
15x/60 +12x/60 -10x/60=1
17x=60
x=60/17=3.53 hours
the second choice is the correct answer.