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.
<u><em>Moe Larry</em></u>
<u><em>35 + 20x 60 + 10x</em></u>
<u><em></em></u>
<u><em>35 + 20x = 60 + 10x</em></u>
<u><em>(show work)</em></u>
<u><em>x = 2.5</em></u>
<u><em></em></u>
<u><em>Moe and Larry will have the same amount of money in their savings accounts after 2.5 weeks.</em></u>
<u><em>-From TheRealMarinette</em></u>
<u>-Pls Dont Not Copy N Paste.</u>
Step-by-step explanation:
Leo is 6 years old now.
Max is 6 + 12 = 18 years old now.
Since 18 / 6 = 3, Max is already 3 times as old as Leo.
The answer is 0 years.
Answer:
x = 25 degrees
Step-by-step explanation:
All angles in a triangle should add up to 180 degrees. So to solve for x, set up an equation where all three angles added up equals 180.
180 = 99 + 56 + x
180 = 155 + x
25 = x
The unknown angle is equal to 25 degrees.
Answer:
(D) 3
Step-by-step explanation:
Prudence has 12 pairs of gold earrings and 12 pairs of silver earrings.
Total Number of Earrings =12+12=24
Relative Frequency of Picking a Gold Earrings =12/24= 0.5
If she randomly pulls six pairs of earrings out of the drawer to take with her on a trip
Number of Possible Outcome =Relative Frequency X Number of Trials
=0.5 X 6
=3
She would most likely take 3 gold earrings.
