9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
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The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3
Answer:
<h2>17½ years </h2>
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For the first quarter you would use the equation of $2000+(2000 times 0.08)=the money for the first quarter or $2160. the second quarters equation is $2000+(2000 times 0.08)2= the money for the second quarter or $2320. the thirds quarters equation is $2000+(2000 times 0.08)3= the money for the third quarter or $2480. The fourth quarters equation is $2000+(2000 times 0.08)4=the money for the fourth quarter or $2640.
<span>5x-0.1=4x
Subtract 5x from both sides so that the x variable is only on one side
-0.1=-x
Divide both sides by -1 to get rid of the negative on the side with the x variable
Final Answer: 0.1=x</span>
If you already know that you have . . .
1$ after week 1
2$ after week 2
4$ after week 3
8$ after week 4
. . . You can then tell that every week the money you save doubles (times 2)
So to continue . . . .
16$ after week 5
32$ after week 6
64$ after week 7
128$ after week 8
256$ after week 9
512$ after week 10
You will then know that after ten weeks u will have 512$ which is answer choice D.
Hope this helps! :)
