Given △ABC ≅ △DEF .

Mathematics

2 answers:

nordsb [41]3 years ago

8 0

60 degrees is the answer

Darina [25.2K]3 years ago

5 0

Answer: m∠E = 60°

Step-by-step explanation:

Here, ABC and DEF are two triangles in which,

m∠A = 90°, m∠B = 60° and m∠C = 30°

Also, Δ ABC ≅ Δ DEF

Thus, By CPCTC ( congruent part of congruent triangles are congruent )

m∠A = m∠D = 90°

m∠B = m∠E = 60°

m∠C = m∠F = 30°

Hence, the measurement of angle E is 60 degree.

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The pregnancy length in days for a population of new mothers can be approximated by a normal distribution with a mean of 270 day

dusya [7]

Answer:

a) 281 days.

b) 255 days

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:

$\mu = 270, \sigma = 8$