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2 years ago

Find the value of x in the triangle.

Mathematics

1 answer:

Hatshy [7]2 years ago

3 0

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

x + 53° + 60° = 180° {subtract 113° from both sides}

x = 67°

You might be interested in

Given the recursive formula shown, what are the first 4 terms of the sequence?

Lorico [155]

Answer:

5,20,80,320

Step-by-step explanation:

a1 = 5

an = 4 an-1

Let n = 2

a2 = 4 * a1 = 4*5 = 20

Let n = 3

a3 = 4 * a2 = 4*20 = 80

Let n = 4

a4 = 4 * a3 = 4*80 = 320

3 0

2 years ago

A factory manager conducted a test on a random sample of 150 products. Of the products tested, 2 were found to be defective. Bas

lions [1.4K]

Answer:

Step-by-step explanation:

Write and solve a proportion:

2 / 150 = x / 3000

150x = 6000

x = 40

6 0

3 years ago

Read 2 more answers

Simplify. Express your answer as a single term using exponents. 960*5x960*9

adelina 88 [10]

${960}^{5} \times {960}^{9} \\ = {960}^{5 + 9} \\ = {960}^{14}$

Answer:

${960}^{14}$

Hope you could get an idea from here.

Doubt clarification - use comment section.

7 0

2 years ago

The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho

pav-90 [236]

Answer:

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

Explanation:

Rewrite the table and the choices for better understanding:

Enrollment at a Technical School

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, x = 2012.

Thus, the correct choice is the third one:

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

8 0

3 years ago

a plane can fly 7 miles per minute. the plane will fly 8 trips, and each trip is 810 miles. how many hours will the plane fly? s

Gnesinka [82]

Answer: 12 hours and 24 Minutes

Step-by-step explanation:

7*60 = 420

810/420 = 1.9285

93- 100 = 53-60

subtract 40 from 93.

1.53*8 = 12.24

Answer: 12 hours and 24 Minutes

3 0

3 years ago