All the triangles are isosceles meaning that they have to sides that are equal
Answer:
Sorry if this doesnt make help:
Step-by-step explanation:
When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the shapes are similar, compare their corresponding sides.
A nice riddle, mathematical riddle.
Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one. In this context, the turtle winner is the one who has a lesser number of favourable votes.
The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.
Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.
On polling day, the vote count came out as follows (in point counts)
Henry Tim
2 1
2 1
2 1
2 1
2 1
2 1
10 1 (Henry's own vote)
1 100 (Tim's own vote)
------------------
17 107 TOTAL POINTS
So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.
Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.
*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 =
<span>
<span>
<span>
0.0070833333
</span>
</span>
</span>
time = 25 years = 300 months
Monthly Payment = <span>
<span>
0.0070833333
</span>
+ </span><span>
<span>
[ 0.0070833333
/ ((1</span></span><span>.0070833333)^300 -1)) ] *principal
</span>
Monthly Payment = <span>0.0070833333
+ </span><span>
[ 0.0070833333
/ (</span><span>
</span>
<span>
<span>
<span>
8.3104129461
</span>
</span>
</span>
-1)] * 80,000
Monthly Payment = 0.0070833333
+
[ 0.0070833333
/ ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333
+
<span>
<span>
<span>
0.00096893750767) * 80,000
</span></span></span>Monthly Payment =
<span>
<span>
<span>
0.00805227080767
</span>
</span>
</span>
* 80,000
Monthly Payment =
<span>
<span>
<span>
644.18
Source:
http://www.1728.org/calcloan.htm
</span></span></span>
Answer:
c
Step-by-step explanation:
distribute the parenthesis by - 1 and collect like terms
= 5x² + 9x + 3 - 6x² + 3x
= (5x² - 6x²) + (9x + 3x) + 3
= - x² + 12x + 3 → c