Help me find the measure of each missing angle

Mathematics

1 answer:

eduard2 years ago

7 0

Answer:

Step-by-step explanation:

m∠1 = 49° (Opposite Angles)

m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)

49° + m∠2 + 68° = 180°

m∠2 + 117° = 180°

m∠2 = 180° - 117°

m∠3 + 93° = 180° (The angles on a straight line add up to 180°)

m∠3 = 180° - 93°

m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)

m∠4 = 93° - 49°

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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:

$\mu = 40, \sigma = 2$