Answer:
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Step-by-step explanation:
Order them from smallest to largest:
21, 24, 25, 26, 26, 31
mean: 25.5
add all the numbers up and divide them by 6.
median: 25.5
the number in between 25 & 26.
mode: 26
there are two 26’s in the pattern.
range: 21-31
To show that the diagonals of square PQRS are congruent is to show that they are equal.
|PR| = sqrt((7 - (-4))^2 + (-5 - 0)^2) = sqrt(11^2 + (-5)^2) = sqrt(146)
|QS| = sqrt((-1 - 4)^2 + (-8 - 3)^2) = sqrt((-5)^2 + (-11)^2) = sqrt(146)
To show that they are perpendicular, then the product of their slopes is -1.
slope of |PR| = (-5 - 0)/(7 - (-4)) = -5/11
slope of |QS| = (-8 - 3)/(-1 - 4) = -11/-5 = 11/5
The product of their slopes = -5/11 * 11/5 = -1
To show that they are bisectors is to show that their midpoints are at the same point.
Midpoint of |PR| = ((7 - 4))/2, (-5 + 0)/2) = (3/2, -5/2)
Midpoint of |QS| = ((-1 + 4)/2, (3 - 8)/2) = (3/2, -5/2)
Answer:
0.75 or 6/8
Step-by-step explanation:
when distributed it is
12-4x-2x= 10+2x-4
then you solve
Answer:
Sales tax = $1.25
Total = $25+$1.25 = $26.25
Step-by-step explanation:
Tax = 0.05 x 25 = 1.25
Total = 1.25 + 25
