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irga5000 [103]
3 years ago
9

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersec

tion of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b? B = 32 b = 52 b = 118 b = 128

Mathematics
2 answers:
tatiyna3 years ago
5 0

Answer: Last option.

Step-by-step explanation:

Observe the figure attached.

In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent.

Based on this definition, you can conclude that the angle "b" and the angle that measures 128° are Alternate interior angles; therefore they are congruent.

This means that the value of "b" is:

b=128\°

Llana [10]3 years ago
4 0

Answer:

Last Option

Step-by-step explanation:

Just took the test and got it right

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Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet
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Answer:

296.693\leq x\leq 319.307

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }

Where x' is the sample mean, s is the population standard deviation, n is the sample size and z_{\alpha /2} is the z-score that let a proportion of \alpha /2 on the right tail.

\alpha is calculated as: 100%-99%=1%

So, z_{\alpha/2}=z_{0.005}=2.576

Finally, replacing the values of x' by 308, s by 17, n by 15 and z_{\alpha /2} by 2.576, we get that the confidence interval is:

308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307

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3 years ago
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Answer:

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Step-by-step explanation:

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........................


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3 years ago
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