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Inessa [10]
3 years ago
13

I need help and fast I was supposed to turn this in last week

Mathematics
1 answer:
Reptile [31]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.

If two angles are supplementary to the same angle, then the two angles are congruent.

Statement                                         Reason

1) line p is parallel to line q               Given

2) angle 1 and angle 4 are               Given

supplementary i.e. ∠1 + ∠4

= 180° (definition of supplementary)

3) angle 3 and angle 4 are              consecutive interior angles

supplementary

4) angle 1 congruent to angle 3       congruent supplements theorem

supplementary

5) line r parallel to line s                  corresponding angle converse

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Answer:

y = -3/4x + 3

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3 years ago
Daily low temperatures in Columbus, OH in January 2014 were approximately normally distributed with a mean of 15.45 and a standa
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Answer: 12.10

Step-by-step explanation:

Given : Mean : \mu = 15.45

Standard deviation : \sigma = 13.70

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 5 degrees

z=\dfrac{5-15.45}{13.70}=-0.7627737226\approx-0.76

For x= 10 degrees

z=\dfrac{10-15.45}{13.70}=-0.397810218\approx-0.40

The P-value : P(-0.76

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Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%

5 0
3 years ago
Ashley found 2 boxes of sugar in the kitchen. The green box is 1.26 kg and the red box is 1.026 kg. Which box contains more suga
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Answer:

Answer:

Green box contains more sugar.

Step-by-step explanation:

Consider the provided information.

Ashley found 2 boxes of sugar in the kitchen.

The green box says 1.26 kg and the red box says 1.026 kg.

we need to find which box contains more sugar.

To find this we will first check the digit at ones place.

Both the digit has 1 at the ones place. So now check the digit at tenths place.

1.26 has 2 at tenths place while 1.026 has 0 at tenths place.

As we know 2 is greater than 0, thus the number 1.26 is greater than 1.026.

Hence, green box contains more sugar.

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