To construct a perpendicular bisector you set the compass to a span which is greater than half the length of the given line. Then setting the point at one end of the line construct an arc passing through the line . Then repeat this process from the other side of the line keeping the compass at the same setting.
Now draw the perpendicular bisector through the 2 intersections of the arcs. That's it.
If the boat initially cost $11850 and INCREASED in value by 10% per year, we'd calculate the final value like this:
V = $11850(1+0.10)^8
But if the boat is losing value (depreciating) over time, we'd calculate its final value like this:
V = $11850(1-0.10)^8 = $11850(0.90)^8 = $11850(0.4305) = $5101.04 (answer)
Answer:
0.1667
Step-by-step explanation:
There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

The probability is 0.1667.
Answer:
12
Step-by-step explanation:
since tile B is a regular polygon means it is an equilateral triangle. The angle inside B would be 60.
(360 - 60)/2 = 150 (interior angle of tile A)
180 - 150 = 30 (exterior angle of tile A)
therefore number of sides = 360 /30 = 12
Answer:
210
Step-by-step explanation:
5 is a prime number, 6 = 2·3 and 7 is a prime number. Since those number do not have common factors, the least common multiple will be their product:5·6·7 = 210 . Given fractions are already in order from least to greatest.