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Zielflug [23.3K]
3 years ago
15

The flag of a country contains an isosceles triangle. (Recap that an isosceles triangle contains two angles with the same measur

e.) If the measure of the third angle of the triangle is 30 degrees more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180 degrees
Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

30°, 30° and 120°

Step-by-step explanation:

Using the information given in the question.

let x be the measure of each congruent base angle , then

the third angle = 3x + 30

Sum the 3 angles and equate to 180

3x + 30 + x + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

The 2 congruent bas angles are each = 30°

The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°

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Step-by-step explanation:

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Prompt According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507
OlgaM077 [116]

Answer:

The actual SAT-M score marking the 98th percentile is 735.105.

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.

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