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Novosadov [1.4K]
3 years ago
11

What is the value of x?

Mathematics
1 answer:
torisob [31]3 years ago
3 0

Answer:

x=45^{o}

Step by step explanation:

We have been given that measure of angle A is fifty five degrees, the measure of angle B is eighty degrees and the measure of angle C is x.

Since we know that sum of measures of all the three angles of any triangle equals to 180 degrees.

Let us set sum of measures of all angles of our triangle equal to 180 degrees.

A+B+C=180^{o}

Upon substituting our given values in our equation we will get,

55^{o}+80^{o}+x=180^{o}

135^{o}+x=180^{o}

x=180^{o}-135^{o}

x=45^{o}

Therefore, the measure of angle x equals to 45 degrees.

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pishuonlain [190]
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3 0
3 years ago
A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than
PilotLPTM [1.2K]

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

H_o : \mu  = 10

against the alternatives H1 : \mu not equal to 10

if null hypothesis is true, then distribution of test statics follow

Zo = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

for two sided alternatives  hypothesis ( H1: \mu \neq 7), then P value is

P = 2[1- \phi(\left | Zc \right |)]                          (1)

a)significance level  \alpha = 0.01

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 2.58    FROM Z TABLE

B) significance level  \alpha = 0.05

from 1st equation we get

\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - \frac{0.05}{2}  = 0.975

Therefore  \left | Zc \right | = 1.96    FROM Z TABLE

C) significance level  \alpha = 0.10

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo

Therefore  \left | Zc \right | = 1.65    FROM Z TABLE

3 0
3 years ago
Complete the statement by typing the letter of the angle.<br> m∠ =54º
tekilochka [14]

Answer:

x = 16

∠A = 39

∠B = 54

∠C = 87

Step-by-step explanation:

Make a equation of all of the angles added together is equal to 180 since the angles of a triangle added together is 180

(4x-10)+(2x+7)+(7x-25)=180

combine like terms

4x+2x+7x-10+7-25 = 180

13x-28=180

solve for x

13x=208

x = 16

plug in x to find the measure of the angle

∠A = 2(16) + 7 = 39

∠B = 4(16) - 10 = 54

∠C = 7(16) - 25 = 87

Add them together to double check your answer

39 + 54 + 87 = 180

hope this helps

3 0
3 years ago
Read 2 more answers
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Gnesinka [82]

Answer:

(12, 1)

Step-by-step explanation:

Arbitrarily choose y = 1.  Then x - 6y = 6 becomes

x = 6(1) + 6, or x = 12.

Thus, one (of many) point on the graph is (12, 1).

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2 years ago
Nahom had n baseball cards, and Semir had s baseball cards. They combined their baseball cards and then sold 10 of them.
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Answer:

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Step-by-step explanation:

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