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3 years ago

A figure with parallel lines m and n is shown. What is the measure, in degrees, of angle b?

Mathematics

1 answer:

Radda [10]3 years ago

3 0

Answer:

48°

Step-by-step explanation:

Not sure if you've learner this yet, but the two angles shown are called alternate exterior angles. To make it a little bit easier, 48° has to be the answer since it's the only other angle shown. But to explain it more..

There's corresponding and vertical angles which can be used to solve this equation. There are four spots that would equal 48°, including "b". Corresponding angles are in the same spot, but different sections. There's also vertical angles, which are right across from each other. If you apply vertical and corresponding angles b will be 48°.

Please let me know if you don't really understand what I attempted to explain. If you haven't gone into depths about what I talked about, just think about the first paragraph/section.

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PLEASE I NEED HELP PLEASEExpress the sum of the angles of this triangle in two different ways

Alika [10]

Answer:

x=60

Step-by-step explanation:

4 0

3 years ago

Question 1 of 5

dedylja [7]

Formula for the circumference of a circle:

C = πd or C = 2πr

[C = circumference π(pi) d = diameter r = radius(half the diameter)]

You know:

d = 5 feet

and you're using 3.14 for π, so substitute/plug it into the equation

C = πd

C = (3.14)(5)

C = 15.7 feet Your answer is B

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3 years ago

Write an expression to represent the perimeter of the rectangle:<br>2/3x+10<br>1/3x+5

Sladkaya [172]

Answer:

2x+30

Step-by-step explanation:

The formula for perimeter is

P = 2(l+w)

= 2(2/3 x+10 + 1/3 x+5)

= 2(2/3 x + 1/3 x+10+5)

= 2 (x+15)

Distribute

2x+30

3 0

3 years ago

A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.