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sineoko [7]
3 years ago
15

The three parallel lines are cut by two transversals, as shown. Which statement MUST be true?

Mathematics
2 answers:
Annette [7]3 years ago
7 0
The answer is d is correct
qwelly [4]3 years ago
5 0

I would think the answer was also D.

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A carpenter designs an A-frame chalkboard. Its support bars form the legs of an isosceles triangle.
ahrayia [7]

angle for triangle is 180°

angle ACB is 75° because it has mention that is an isosceles triangle

So that angle of BAC is 180°-75°-75°=30°

6 0
3 years ago
Suppose that the travel time from your home to your office is normallydistributed with mean 40 minutes and standard deviation 7
Alex73 [517]

Answer:

The latest time that you should leave home is 12:08 PM

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 = 40, \sigma = 7

If you want tobe 95 percent certain that you will not be late for an office appointment at 1 P.M.,what is the latest time that you should leave home?

How many minutes is the 95th percentile of travel time?

it is X when Z has a pvalue of 0.95. So it is X when Z = 1.645. So

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

1.645 = \frac{X - 40}{7}

X - 40 = 7*1.645

X = 51.6

Rouding up, the 95th percentile for travel time is 52 minutes.

52 minutes before 1PM is 12:08 PM.

The latest time that you should leave home is 12:08 PM

7 0
3 years ago
Please help # 36,38 and 39 ASAP.Thanks:)
Rzqust [24]
36 is B
37 is H
Do not quote me on this, but I think the first inequality x= any number over 15
And the second one is r=4
4 0
3 years ago
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
Tatiana [17]

Answer:

Take the coefficient of ''n'', divide it by 2, and raise it to the second power;

n^2+n+(\frac{1}{2})^2

n^2+n+\frac{1}{4}=0

=(n+\frac{1}{2} )^2

8 0
3 years ago
Help Please!
Irina18 [472]
4x+30=90
-30 -30

4x=60
X=15
4 0
3 years ago
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