Answer:
Measure of third side = 2.1 inches
Step-by-step explanation:
Perimeter of any polygon = Sum of lengths of all sides of the polygon
From the figure attached,
Number of sides of the polygon = 3
Therefore, perimeter of a triangle = sum of all three sides of the given triangle
Length of two sides = 1.7 inches and 3.4 inches.
Let the third side = x inches
Perimeter of the triangle = 7.2 inches
By the definition of the perimeter,
7.2 = 1.7 + 3.4 + x
7.2 = 5.1 + x
x = 7.2 - 5.1
x = 2.1 inches
Therefore, third side of the given triangle is 2.1 in.
Answer:
data set 1 : the mean is (1+2+4+4+5+5+6+7+9+9+9+11) / 12 = 72/12 = 6the MAD is :1 - 6 = -5....|-5| = 52 - 6 = -4....|-4| = 44 - 6 = -2...|-2| = 24 - 6 = -2...|-2| = 25 - 6 = -1...|-1| = 15 - 6 = -1...|-1| = 16 - 6 = 0 ...| 0| = 07 - 6 = 1....|1| = 19 - 6 = 3...|3| = 39 - 6 = 3...|3| = 39 - 6 = 3...|3| = 311 - 6 = 5...|5| = 5(5+4+2+2+1+1+0+1+3+3+3+5) / 12 = 30/12 = 2.5 <== the MAD2nd data set :the mean is (1+3+4+6+6+6+7+9+9+10+10+13) / 12 = 84/12 = 7mad is :1 - 7 = -6...| -6| = 63 - 7 = -4...|-4| = 44 - 7 = -3...|-3| = 36 - 7 = -1...|-1| = 16 - 7 = -1..|-1| = 16 - 7 = -1..|-1| = 17 - 7 = 0...|0| = 09 - 7 = 2...|2| = 29 - 7 = 2...|2| = 210 - 7 = 3..|3| = 310 - 7 = 3...|3| = 313 - 7 = 6...|6| = 6(6+4+3+1+1+1+0+2+2+3+3+6) / 12 = 32/12 = 2.67 <== the MADthe difference of the means is 1. This value is less then half of the mean absolute deviation of either data set. <== ur answer
Step-by-step explanation:
Answer:
x² + 4x + 3
Step-by-step explanation:
Supose answer A is true...
Because the division of
{ (x -5) * (x² + 4x + 3) } / (x -5) = (x² + 4x + 3)
.... you should only have to check if
(x -5) * (x² + 4x + 3) = x³ - x² - 17x - 15
That is what to do:
(x -5) * (x² + 4x + 3)
using FOIL method you get...
x³ + 4x² + 3x - 5x² -20x - 15
x³ + (4x² - 5x²) (-20x + 3x) - 15
and this is exactly x³ - x² - 17x - 15
Hence Answer A is correct.
Equivalent fractions have the same value even if written differently. The smallest common multiple of all the denominators in a group of fractions is the least common denominator. Fractions cannot be used to show the relationship between part of a group and the whole group.
12+(1/3)x=35
(1/3)x=23
x=7.6666