Answer:
Step by step explanation:
About 18 or 19 students per teacher
Answer:
103.
Step-by-step explanation:
If you plug in 9 for the value of x in the equation, 103 is your answer.
In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.
Also, in a triangle, the sum of the measures of the interior angles is 180.
We can now calculate the measures of the three angles by writing and solving an equation.
m<A + m<B + m<C = 180
9x - 7 + 7x - 9 + 28 - 2x = 180
Collect like terms on the left side.
9x + 7x - 2x - 7 - 9 + 28 = 180
14x + 12 = 180
Subtract 12 from both sides.
14x = 168
x = 12
Now that we know x, we can find the measure of each angle.
m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4
(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)
Now that we know the angle measures, the opposite sides are in the same order of size.
AB < AC < BC
The sides are, in increasing order of length:
AB, AC, BC
Answer:
11 4/5
Step-by-step explanation:
First, I would start off by turning that dreadful mixed number into an improper fraction (it's just easier).
Multiply the whole number by the denominator and then add the numerator.
14 x 4 + 3 = 59 (this becomes your new numerator)
So what is 4/5 of 59/4?
4/5 = .8 so multiply 59/4 by .8 to get 11.8
This would be 11 4/5 as a mixed number and 59/5 as an improper fraction
