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2 years ago

Please help me with missing angles

Mathematics

1 answer:

saul85 [17]2 years ago

4 0

Answer:

u = 40° , v = 40° and x = 100°

Step-by-step explanation:

i) from the rule of triangle we know that the sum of all three angles = 180°

ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.

iii) from theorem on parallel lines we can say that u = y =40°

iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.

v) again from the properties of parallel lines we get u = 40°

vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.

vii) Therefore u = 40° , v = 40° and x = 100°

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Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 121 and standard deviation of 16.

This means that $\mu = 121, \sigma = 16$

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

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

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2 years ago

Please help me with missing angles​

Please help me with missing angles