<span>There are 4 EQUAL pieces.
To build 1 whole you must add together 4 pieces or compose the fraction with all four pieces 1/4 + 1/4 + 1/4 + 1/4 = 4/4 or 1 whole.</span>
Non of these is the 2nd diagram.
Corresponding angles are 3rd and 5th diagram.
Alternate internal angles are 4th diagram.
Alternate exterior 1st diagram
Let's convert the problem into Arithmetic progression:
It would be: 5, 9, 13, ....
Here, a = 5, d = 9 - 5 = 4
We know, S(n) = n/2 [ 2a + (n-1)d ]
Substitute the known values,
434 = n/2 [ 2(5) + (n - 1)4 ]
434 * 2 = n [ 10 + 4n - 4 ]
868 = 10n + 4n² - 4n
= 4n² + 6n - 868 = 0
d = b² - 4ac
d = 6² - 4(4)(-868)
d = 36+13888
d = 13924
Now, roots = -b +- √d / 2a
= (-6 + √13924) / 2(4) OR (-6 - √13924) / 2(4)
= (-6 + 118) / 8 OR (-6 - 118) / 8
= 112/8 OR -124/8
= 14 OR -15.5
As number of sticks can't be in negative/decimal or fraction form, -15.5 would be fully rejected.
In short, Your Answer would be 14 [ Remaining root ]
Hope this helps!
Answer:
x=4
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagorean Theorem
where
a and b are the legs of the triangle
c is the hypotenuse of the triangle
Step N 
<u>Assume that the third side is a leg</u>
In this case we have
Solve for b
substitute the values
Step N 
<u>Assume that the third side is the hypotenuse</u>
In this case we have
substitute the values
Step N 
<u>Find the difference of the third sides</u>
therefore
<u>the answer is</u>
