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3 years ago

Please answer asap!!!!!!!!!!!!!!!!!!1

Mathematics

2 answers:

Vlad [161]3 years ago

8 0

Answer:

x= 145 degrees

Step-by-step explanation:

I'm going to assume that the 2 lines are parallel only because if they weren't, the problem would be impossible to solve.

If 2 parallel lines are cut by a transversal, then:

1. Corresponding angles are congruent

2. Alternate interior angles are congruent

3. Alternate exterior angles are congruent

4. Consecutive interior angles are supplementary

So, how do you solve this?

There are many ways.

1. All vertical angles are congruent. In this case, x and a 145 degree angle is congruent. This is one way to show x=145

2. x and another 35 degree angle are consecutive interior angles. They should add up to 180 degrees, 180-35-145. Therefore x=145 degrees.

Mkey [24]3 years ago

6 0

Answer:

x=145° (vertically opposite angles)

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3 years ago

Find the obtuse angle the line y-2x=7 makes with the x- axis

Kazeer [188]

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3 years ago

The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 4.84, \sigma = 0.05$

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

$Z = \frac{X - \mu}{\sigma}$

$1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*1.88$

$X = 4.934$

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

$Z = \frac{X - \mu}{\sigma}$

$-1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*(-1.88)$

$X = 4.746$

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