Answer:
a.) (x-3)(x-3) = 25 + (x-4)(x-4)
x^2 - 6x + 9 = 25 + x^2 - 8x + 16
-6x + 9 = -8x + 41
2x + 9 = 41
2x = 32
x = 16
b.) 16 - 4 = 12
AB = 12
c.) 16 - 3 = 13
AC = 13
[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]
With a 45,45,90 right triangle, the hypotenuse is always the length of one of the other side times the square root of 2, so divide by that and you get 8
4 years = 48 months = 8 6 month increments so it doubles 8 times
0 5
1 10
2 20
3 40
4 80
5 160
6 320
7 640
8 1280 rabbits
<span>Determine
what number is Laura thinking:
Let’s set a variable for our unknown number. Let’s have b.
=> b + 5 (b + 2) = 4b + 26
Now, we have our equation, let’s start solving.
=> b + 5b + 10 = 4b + 26
=> 6b + 10 = 4b + 26
=> 6b - 4b = 26 – 10
=> 2b = 16
=> b = 16 / 2
=> b = 8
Thus, the number that Laura is thinking of is 8.</span><span>
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