If the triangles are similar, then the sides are proportionate and the bases are as well. Set up the proportion like this, with side lengths on top and base lengths on bottom:
. Cross multiply to get 4x = 60. That means that x = 20.
Answer: 24 over 2 squared equals 50 minus 6 squared minus 8
56 divided by 8 plus 3 squared equals 2 times 2 cubed
Step-by-step explanation:
24/2^2 = 50-6^2 - 8
24/4 = 50-36-8
6 = 14-8
6=6
39-3*6 = 6*10/4 + 4
39 - 18 = 15 + 4
21 = 19
9^2 - 5 ^ 2 = 4 ^ 2 - 7
81 - 25 = 16 - 7
56 = 9
56/8 + 3^2 = 2 * 2^3
7 + 9 = 2 * 8
16 = 16
Answer:
C. Three
Step-by-step explanation:
We want to solve the equation for n:
14,580 = 20,000(9/10)^n
14580/20000 = 729/1000 = (9/10)^n
(9/10)^3 = (9/10)^n . . . . . . write the left side as a cube
3 = n . . . . . . equate exponents
After year 3, the value will be $14,580.
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You can use logarithms to find n:
log(0.729) = n×log(0.9) . . . . . . taking the log of the 2nd line above
log(0.729)/log(0.9) = n = 3
Plug y=x-2 into the first equation:
10x-9(x-2)=24
x+18=24
x=6
y=x-2=4