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3 years ago

The diagram shows two parallel lines and a transversal. If the measure of 3 is 50, what is the measure of 5?

Mathematics

2 answers:

VLD [36.1K]3 years ago

8 0

The measure of 5 would be 130 because consecutive angles are supplementary.

Rina8888 [55]3 years ago

5 0

Answer:

Option D is correct

the measure of angle 5 is 130 degree

Step-by-step explanation:

Consecutive interior angles states that when two lparallel lines are cut by transversal, then the pair of angles on one side and inside these two parallel lines and also they add up to 180 degree.

The diagram shows that the two parallel lines and a transversal.

As per the statement:

If the measure of 3 is 50.

⇒ $m\angle 3 = 50$

By definition of consecutive interior angles :

$m\angle 3$ and $m\angle 5$ are consecutive interior angles;

then;

$m \angle 3+ m\angle 5 =180^{\circ}$

Substitute the given values we have;

$50+ m\angle 5 =180^{\circ}$

Subtract 50 degree from both sides we have;

$m \angle 5 = 130^{\circ}$

Therefore, the measure of angle 5 is 130 degree

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4 years ago

A right circular cylinder has a diameter of 12 in and a height of 12 in. if water is flowing in at the rate of 4π in3 per minute

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The rate of change of the height is $\frac{1}{9}$ in/min.

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2 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

The six measurements are:

202, 164, 157, 177, 113, 213

Sample mean:

Sum of all values divided by the number of values which is 6. So

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Sample standard deviation:

Square root of the difference squared between each value and the mean, and divided by 1 subtracted by the sample size. So

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Confidence interval

We have the standard deviation for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 6 - 1 = 5

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 5 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 3.365

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.365\frac{35.69}{\sqrt{6}} = 49$

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The lower end of the interval is the sample mean subtracted by M. So it is 171 - 49 = 122 ppm

The upper end of the interval is the sample mean added to M. So it is 171 + 49 = 220 ppm

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3 years ago