What theorem or postulate can you use to determine a relationship between these two angles? Solve for x.

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

It's the consecutive interior angles theorem; it goes like this:

95° = (2x + 5)°
90° = 2x
45° = x

Basically it says the alternate interior angles of two parallel lines that are cut by a transverse line are equal/the same.

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Airida [17]

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3 years ago

48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a

son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

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:

$\mu = 125, \sigma = 24$