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raketka [301]
2 years ago
11

Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each

of the empty boxes.
Given: m∥nm∠1=120°

Prove m∠6=60°

Mathematics
1 answer:
Sloan [31]2 years ago
4 0

Answer:

The first one would be corresponding angles postulate and the second one is linear pair postulate.

Step-by-step explanation:

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Which is the graph of the function f(x) = x2 + 2x + 3?
blagie [28]
Dy/dx=2x+2

So velocity will be zero when 2x+2=0, x=-1

Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.

y(-1)=1-2+3=2

So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.

And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
5 0
3 years ago
Read 2 more answers
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

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 = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
Find the prime factorization of the following 2 numbers 36 and 72?
Kryger [21]

Answer:

36 =  2² x 3²

72=2³×3²

Step-by-step explanation:

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3 years ago
5/8 of the students in
blagie [28]
I’m thinking maybe 12 boys?
4 0
2 years ago
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The number pi goes on forever with no repeating pattern; therefore, it is rationa
cricket20 [7]
No 
it is irrational for that reason - it goes on without bound
3 0
3 years ago
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