I need help with number 5 asap!!

Mathematics

2 answers:

Ede4ka [16]2 years ago

8 0

<MLN = <JLK = 39 degrees (vertical angles are equal)

If JK ║MN then <M = <K = 39 degrees (Alternate interior angles are equal)

In a triangle, sum of all interior angles = 180

61 + 39 +3x + 5 = 180

Combine like terms

3x + 105 = 180

subtract 105 from both sides

3x = 75

divide both sides by 3

x = 25

Answer

x = 25

alekssr [168]2 years ago

5 0

Then divide 95/3. that will give you 31.6repeating

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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:

$\mu = 75, \sigma = 12.5$