Can I get help in these two questions, please

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

sesenic [268]

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°

7 0

3 years ago

Help me plz I’ve never been good with math

S_A_V [24]

Its 16.

So you have 12 miles on that trail, and markers every 2/3 of the way there. If you were to divide 2 with 3 then you can get the decimal of the fraction. Which in this case it’s 0.75. So every single 0.75 of the mile there is a marker. Divide 12 with 0.75 and you get 16 markers.

Hoped this helped in some way.

4 0

4 years ago

Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3

lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

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:

$\mu = 72.3, \sigma = 8.9$