Solve for x. Enter your answer in the box. x = °

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

7 0

Given any polygon with n sides, the sum of its interior angles is

$(n-2)\times 180^\circ$

Your polygon has 5 sides, so its interior angles sum up to

$(5-2)\times 180^\circ = 3\times 180^\circ = 540^\circ$

Which means that

$100+102+108+121+x = 540 \iff 431+x = 540 \iff x = 540 - 431 = 109$

Reika [66]3 years ago

6 0

x = 109°

3*180° - 100° - 102° - 108° - 121° = 109°

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1+10=10 2+20 =20 3+30=28 4+40=32 5+50=28 6+60=?

aniked [119]

Hey! Your answer is here!

The answer to the problem is 10.

Hope this helps! :)

6 0

3 years ago

Mary and Jane both took PSY230 last semester but they were in two different sections taught by different professors. Mary's clas

Greeley [361]

Answer:

Due to the higher z-score, Jane did better in class.

Step-by-step explanation:

Z-score:

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 question:

Whoever's grade had the better z-score did better in class.

Mary's:

Mean of 85, standard deviation of 5, grade of 88. This means that $\mu = 85, \sigma = 5, X = 88$ . So