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arlik [135]
3 years ago
9

dle" class="latex-formula">
​
Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0

The answer is 4

hope this helps

NNADVOKAT [17]3 years ago
5 0
The answer is 4, it's pretty easy
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Please, Help.<br>the answer isn't 30°
vagabundo [1.1K]

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A)

<h3>How to find a missing angle by triangle properties</h3>

Triangles are <em>geometrical</em> figures formed by three sides and whose sum of <em>internal</em> angles equals 180°. There are two kind of triangles existing in this question: (i) <em>Right</em> triangles, (ii) <em>Isosceles</em> triangles.

<em>Right</em> triangles are triangles which one of its angles equals 90° and <em>isosceles</em> triangles are triangles which two of its sides have <em>equal</em> measures.

According to the statement, we know that triangle BQR is an <em>isosceles</em> triangle, whereas triangles ABC, ANB and NBC are <em>right</em> triangles. Based on the figure attached below, we have the following system of <em>linear</em> equations based on <em>right</em> triangles ABC and NBC:

<em>2 · x + 90 + θ = 180</em>   (1)

<em>(90 - x) + 90 + θ = 180</em>   (2)

By equalizing (1) and (2) we solve the system for <em>x</em>:

<em>2 · x = 90 - x</em>

<em>3 · x = 90</em>

<em>x = 30</em>

And by (1) we solve the system for <em>θ</em>:

<em>θ = 180 - 2 · x - 90</em>

<em>θ = 30</em>

<em />

The <em>missing</em> angle of the <em>right</em> triangle ABC has a measure of 30°. (Correct answer: A) \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/6322314

8 0
2 years ago
Find the slope of the line
Serhud [2]

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

7 0
2 years ago
Read 2 more answers
What 3 ratios that are equivalent
steposvetlana [31]

Answer:

1:2, 2:4, 3:6

Step-by-step explanation:

If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.

You have to multiply each individual number in the ratio.

4 0
3 years ago
Read 2 more answers
The cost of fighting crime in a country increased significantly during the period 1982–1999. Total spending on police, courts, a
Mice21 [21]

Answer:

t→+[infinity] [ P ( t ) ] = $62.957 billion

t→+[infinity] [ f ( t ) ] = $143.214 billion

Step-by-step explanation:

Given:

- Total spending on police, courts, and prisons in the period 1982–1999 could be approximated, respectively,

                         P(t) = 1.743*t + 29.84 billion dollars (2 ≤ t ≤ 19)

                         C(t) = 1.096*t + 10.65 billion dollars (2 ≤ t ≤ 19)

                          J(t) = 1.917*t + 12.36 billion dollars (2 ≤ t ≤ 19)

Find:

- Compute lim t→+[infinity] for:

   P ( t ) and P ( t ) + C ( t ) + J ( t )

Solution:

- The limit as t→+[infinity] for the above three function can be accounted for by considering the domain of each function.

- All functions : P ( t ) , C ( t ) , J ( t ) have the domain 2 ≤ t ≤ 19:

- So in other words, lim t→+[infinity] = lim t→19

- The limits are as follows:

            lim t→19 [ P ( 19 ) ] = 1.743*19 + 29.84 = $62.957 billion

- The function f ( t ) is as follows:

            f( t ) = P ( t ) + C ( t ) + J ( t ) = 4.756*t + 52.85 billion dollars

            lim t→19 [ f ( 19 ) ] = 4.756*19 + 52.85 = $143.214 billion

3 0
3 years ago
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x
Nat2105 [25]

Answer:

1.5

Step-by-step explanation:

Given

f(x) = \frac{1}{3}^x

Options: 0.3\ 0.9\ 1.0\ 1.5

Required

What value cause a stretch

For the function to stretch, then the scale factor must be greater than 1.

From the list of options.

Only 1.5 is greater than 1 i.e. 1.5 > 1

Hence, 1.5 will cause a stretch.

5 0
2 years ago
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