The average mean is equal to the sum of numbers divided by the total numbers, which means that the mean of 230 with 80 numbers gives that the sum is 230*80 = 18400, if you apply the formula described in the beginning. Since 4 numbers are known and are<span> 145,156,210, and 255, their sum is </span>766. The sum of the list is equal to the sum of the numbers without the sum of 4 known numbers, so it's equal to 18400 - 766 = 17634, from which we can see that the Mean = (Sum Of List)/(80 - 4)
= 17634/76
= 232.02
M<A + m<B + m<C = 180
80 + 3x + 5 + <span>5x - 1 = 180
8x + 84 = 180
8x =96
x = 12
m<</span><span>B = 3x + 5 = 3(12) + 5 = 41
m<C = </span><span>5x - 1 = 5(12) - 1 =59
and
m<A = 80
</span><span>answer:
order from shortest to longest in ∆ABC</span><span>
AC, AB, BC
P.S.
Smallest angle, shortest side.....
Largest angle, longer side....
</span>
For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
35km; Since the points on the map are one millionth of their actual size, simply multiply by one million and convert from there.
35*1,000,000 = 35,000,000mm
35,000,000/1000 = 35,000m
35,000/1000 = 35km
Answer:
3/2 is the slope
Step-by-step explanation:
find the negative inverse to give the perpendicular slope
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