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3 years ago

The measures of three angles in a triangle are(2x+5) ,(x+17) , and (3x-4) What is the value of ?

Mathematics

1 answer:

Stells [14]3 years ago

3 0

Answer:

x=27

Step-by-step explanation:

Triangle angle =180 degrees

180＝2x+5+x＋17＋3x-4

180=6x+18

(180-18)/6=x

x=27

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4 years ago

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If (2x+10) and (3x+10) form a linear pair<br>find angles<br>.

Alex_Xolod [135]

Linear pair angles are always supplementary.
So,
(2x+10) +(3x+10) = 180
5x+20 = 180
5x =180-20
5x=160
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3 years ago

What are the names of the numerical system for numbers 3 to 16?

denis-greek [22]

The Numerical system for the numbers is given by Positional Notation

Step-by-step explanation:

numerical system for 3 is TERNARY.
Numerical System for 4 is QUATERNARY.
Numerical System for 5 is QUINARY.
Numerical System for 6 is SENARY.
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Numerical System for 11 is UNDECIMAL.
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Numerical System for 13 is TRIDECIMAL.

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3 years ago

Estimate 1.22<br><br>Answer

Nutka1998 [239]

Answer:

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Step-by-step explanation:

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3 years ago

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The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an un

eimsori [14]

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

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 $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

The margin of error is:

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

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

Population standard deviation of 3 years

This means that $\sigma = 3$

Sample of 18 voters

This means that $n = 18$

Margin of error:

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

$M = 1.96\frac{3}{\sqrt{18}}$

$M = 1.39$

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

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3 years ago