Answer:
All the points are the same distance from the center of line AB, therefore it is just the same triangle but rotated. They are the same triangle .
Step-by-step explanation:
<h3>
Answer: 1/6</h3>
Work Shown:
x = 0.1666666...
10x = 1.666666...
100x = 16.666666...
100x - 10x = 16.666666... - 1.666666...
90x = 15
x = 15/90
x = (1*15)/(6*15)
x = 1/6
So, 1/6 = 0.1666666...
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Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me (Show Source):You can put this solution on YOUR website!I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse.
We basically have this triangle set up:
Since we can see that the triangle has legs of 8 and x with a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem:
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse
8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x
6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term
+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides
+x++%5E+2+=+8+0 Combine like terms
s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides
x=4%2Asqrt%285%29 Simplify the square root
Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....
Year 1: 500 + 0.25*500 = 500 [1 + 0.25]
Year 2: 500*[ 1 + 0.25] * [1 + 0.25] = 500 [1 + 0.25]^2
Year x: 500 [1 + 0.25]^x
Option d: A(x) = 500[1 + .25]^x, where .25 is the interest rate
