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gregori [183]
2 years ago
8

Help me with this pleas and ty!!!!!!

Mathematics
1 answer:
DENIUS [597]2 years ago
5 0

Answer:

94 degrees

Step-by-step explanation:

The sum of interior angles of a pentagon is 540 degrees. Use this information to write down the following equation:

132+4x-10+4x+2+128+5x-11=540

Solve for x:

132+4x-10+4x+2+128+5x-11=540\\13x+241=540\\13x=299\\x=23

And replace it to angle P:

4(23)+2=94

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Identify which is a hypothesis or a conclusion. A polygon is a rectangle. The polygon has four congruent angles
Lelechka [254]

Answer:

Step-by-step explanation:

6 0
3 years ago
The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest a
Anit [1.1K]

Answer:

13° , 29° , 138°

Step-by-step explanation:

let x be the smallest angle , then

2x + 3 is the middle angle and

2x + 3 + 109 is the largest angle

summing the 3 angles and equating to 180

x + 2x + 3 + 2x + 3 + 109 = 180 , that is

5x + 115 = 180 ( subtract 115 from 180 )

5x = 65 ( divide both sides by 5

x = 13

2x + 3 = 2(13) + 3 = 26 + 3 = 29

2x + 3 + 109 = 29 + 109 = 138

the 3 angles are 13° , 29° , 138°

6 0
2 years ago
Its
damaskus [11]

Answer:

P(Green\ and\ Green) = \frac{25}{144}

Step-by-step explanation:

Given

Green=5

Blue = 7

Required

P(Green\ and\ Green)

This is calculated as:

P(Green\ and\ Green) = P(Green) * P(Green)

Since, it is a probability with replacement, we have:

P(Green\ and\ Green) = \frac{Green}{Total} * \frac{Green}{Total}

So, we have:

P(Green\ and\ Green) = \frac{5}{12} * \frac{5}{12}

P(Green\ and\ Green) = \frac{25}{144}

5 0
3 years ago
Suppose that scores on the mathematics part of a test for eighth-grade students follow a Normal distribution with standard devia
riadik2000 [5.3K]

Answer:

We need an SRS of scores of at least 153.

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{1-0.9}{2} = 0.05

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 1-0.05 = 0.95, so z = 1.645

Now, find 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.

How large an SRS of scores must you choose?

This is at least n, in which n is found when M = 20, \sigma = 150. So

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

20 = 1.645*\frac{150}{\sqrt{n}}

20\sqrt{n} = 1.645*150

\sqrt{n} = \frac{1.645*150}{20}

\sqrt{n} = 12.3375

(\sqrt{n})^{2} = (12.3375)^{2}

n = 152.2

Rounding to the next whole number, 153

We need an SRS of scores of at least 153.

8 0
3 years ago
What is the solution of the following system?
Yakvenalex [24]
<h3>Answer:  B) no solutions</h3>

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

3 0
3 years ago
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