Answer:
20
Step-by-step explanation:
AB ≅ DC and AD ≅ BC
slope of BC = slope of AD (m = 1/3), slope of AB = slope of DC (m = 3/1)
opposite sides are congruent and parallel so ABCD is a parallelogram.
Answer: parallelogram
Answer:
Part A: 20 students
Part B: 4 hours
Step-by-step explanation:
Part A:
To find the number of students surveyed, we count the number of x there are in the graph.
students = 1 + 2 + 3 + 5 + 1 + 1 + 3 + 2 + 2 = 20
Part B:
To find the mean, we need to find the total number of hours volunteered first.
hours = 1x0 + 2x1 + 3x3 + 5x3 + 1x4 + 1x5 + 3x6 + 2x7 + 2x8 = 80
Now, we can find the mean. We divide the total number of hours volunteered by the number of students.
Mean = 80 ÷ 20 = 4
Use the sine rule.
For any triangle: sin(a) / A = sin(b) / B = sin(c) /C
Where A is the side opposed to angle a, B is the side opposed to angle b, and C is the side opposed to angle c.
Here, sin(B) / AC = sin(A) / BC = sin (C) / AB
<span> BC = 12.35, AC = 8.75 centimeters, and m∠B = 37°
sin(37) / 8.75 = sin(A) / 12.35 => sin (A) = 12.35 * sin(37) / 8.75
sin(A) = 0.845 = A = arctan(0.845) = 58.15°
And A + B + C = 180° => C = 180 - A - B = 180 - 58.15 - 37 = 84.85
Answer:
measure of angle A = 58.15°
measure of angle C = 84.85 °
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Answer:
$1,353 a year $16,256 total paid 12 years