The sum of measures of alternate interior angles of two parallel lines is 210°. What are the measures of these angles?

1 answer:

5 0

The answer is 105. Alternate interior angles of two parallel lines are congruent(meaning they are the same). 210/2=105, also the answer has to be below 180 degrees but more than 0.

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Lorenzo recorded the favorite food of students in his class. According to the results of the survey, what percent of the student

nalin [4]

Answer:

30%

Step-by-step explanation:

Before starting to solve this question we have to understand the following. 1% is equal to one hundredth of something whole, and can be write as $\frac{1}{100}$ .

Now in order to solve this question we will first have to find a fraction that represent how much student out of the whole class choose hamburgers. We can easily find this fraction since the numerator of the fraction will be equal to the number of people that choose hamburgers and the denominator will be equal to the number of all students in the class. So we get......

$\frac{12}{8 + 12 + 14+6} = \frac{12}{40} = \frac{3}{10}$

Now in order to find out what percentage will this fraction equal to we will have make a fraction with the same value but with a denominator being 100. To do that we will have to understand the following......

$\frac{a}{b} = \frac{am}{bm}$ (m is any number except 0)

The main I idea of this rule is that if we multiply the numerator and the denominator by the same number (any number except 0) we will get a fraction with the same value but with a different denominator and numerator.

So in our case we we do the following.........

(multiply both numerator and the denominator by 10 and we get...)

$\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}$