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strojnjashka [21]
2 years ago
15

Determine the measure of each indicated angle. Show all necessary steps!

Mathematics
1 answer:
Mariana [72]2 years ago
7 0

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

<h3>What is the sum of all the angles of a regular polygon?</h3>

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

Learn more about interior angles of a regular polygon here:

brainly.com/question/14173422

#SPJ1

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Consider the function g defined by g(x) = x(10 – Ax), A &gt; 0. voer g in Without doing any iterations, determine the non-zero f
notka56 [123]

Answer:

The only non-zero fixed point is:  x = 9/A.

The Step-by-step explanation:

A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:

g(x) = x

x(10 - Ax) = x

10x - Ax² = x

10x - x -Ax² = 0

9x - Ax² = 0

Ax² - 9x = 0

The solutions of this second order equation are:

x = 0 and x = 9/A.

Since we are only asked for the non-zero fixed points, the solution is: 9/A.

7 0
3 years ago
/viewform?hr submission=Chclk4feKBIQ.
Gennadij [26K]

Answer:

c) .22

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

\sigma = 2.5, n = 500

Then

M = z*\frac{\sigma}{\sqrt{n}}

M = 1.96*\frac{2.5}{\sqrt{500}}

M = 0.22

5 0
3 years ago
Why is cube root of 9 equal to 9 to the one third power question mark
kozerog [31]

Answer:

3

just because

3 0
3 years ago
Read 2 more answers
Simplify the expression square root of 6 times the square root of 33 plus 7
tekilochka [14]

Answer:

3√(22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.  

<u>Number 1</u>

√(6) x √(33) + 7

= √(6 x 33) + 7

= √(198) + 7

= √(9 x 22) + 7

= 3√(22) + 7

<u>Number 2</u>

√(6) x √(33 + 7)

= √(6) x √(40)

= √(6) x (4√(10))

= 4√(60)

= 8√(15)

5 0
3 years ago
5300 round to the nearest thousand
AleksAgata [21]
5,000
 is 300 closer to 100 or 1000?
or 
 is 3 closer to 1 or 10?
6 0
3 years ago
Read 2 more answers
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