Using proportions, it is found that the length of AC is of 15 units.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The ratios in this problem are given as follows:
.
.
.
The entire length is of 18 units, AB is half of that, hence:
AB = 0.5 x 18 = 9 units.
BC is two thirds of the length from 6 to 15, hence:
BC = 2/3 x (15 - 6) = 6
Thus, the length of AC is:
AC = 9 + 6 = 15 units.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
1/4 or 5/20
Step-by-step explanation:
You find how many numbers are above 10. Then find the frequency and add them together, that will be your numerator. The total number of tries is 200, that is your denominator.
The ratios 84/105 and 128/160 are proportional
<u>Solution:</u>
Given, two ratios are
and 
We have to give two different reasons to support the answer.
<em><u>Reason 1:</u></em>
Now, we know that, numerators and denominators should be proportional to be two fractions in proportion.

So numerators and denominators are in proportion, then given two fractions are proportion.
<em><u>Reason 2:</u></em>
Now, values of two fractions must be equal:

So, values of two fractions are equal, then they are in proportion.
Hence, the given two fractions are in proportion.
Answer:
x = √(10) - 2, -√(10) - 2
Step-by-step explanation:
x² + 4x + 4 = 10
factor:
(x + 2)² = 10
take square root of both sides:
x + 2 = ±√(10)
split into 2 equations:
x + 2 = √(10) x + 2 = -√(10)
solve both equations and collect solutions:
x = √(10) - 2, -√(10) - 2
With my calculations im thinking 120 students