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mylen [45]
3 years ago
13

BRIANILEST!!!! Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the in

terior angles of is 180°.
Which statement would be included in a proof of why ?
Angles F and H are congruent.
Angles C and E are congruent.
Angles A and G are congruent.
Angles F and C are congruent.

Mathematics
1 answer:
dsp733 years ago
4 0

Answer


Angles F and C are congruent.


Explanation

First you have to know that angles in a straight line add up to 180°

∴ A+F+E = 180°


Also corresponding angles are equal.

∴ H = A

G = E

Direct opposite angles are equal. That is C = F. 

This means that Angles F and C are congruent.

With this prove, we can conclude that;

G+C+H = 180°


G, C, and H are interior angles and they add up to 180°



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The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
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  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
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