Answer:
isosceles trapezoid
Step-by-step explanation:
1) find the distance of the points

AB = 
BC = |7-4| = 3
CD = 
AD = |9-2| = 7
2) equation of the line that passes threw BC
y = 7
3) equation of the line that passes threw AD
y = 5
conclusion
the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid
Answer:
7 students.
Step-by-step explanation:
10% of 70 is 7.
The LCD of 3/5 1/10and 1/2 is 10. This is because 10 is the smallest number that 5, 10 and 2 are all divisible by.
Answer:
Therefore the variance on the data set is 8.3
Step-by-step explanation:
In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:
mean = sum of each element / number of elements
mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6
We can now find the variance by applying the following formula:

So applying the data from the problem we have:
s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)
s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4
s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3
Therefore the variance on the data set is 8.3
Let k be a constant of proportionality. We can use the given information to write two equations:
24 = k/5 and 12 = k/10.
Solving for k gives k = 120 in both cases.
Let R be the unknown resistance when the current is 15 amperes:
15 = 120/R.
R = 120/15
R = 8 ohms.