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kondor19780726 [428]
3 years ago
8

Look at the figure. If ∠1≡∠5, describe the relationship between lines a and b.

Mathematics
2 answers:
loris [4]3 years ago
8 0
<span>∠1 and ∠5 are correspondent angles. If they are congruents, the lines a and b must be parallels.
Answer: Third option. </span><span>The lines are Parallel</span>
neonofarm [45]3 years ago
7 0

Answer:  the correct option is (C) The lines are parallel.

Step-by-step explanation:  Given that  ∠1 ≡ ∠5 in the figure shown.

We are to describe the relationship between the lines a and b.

From the figure, we see that

the lines a and b are cut by a transversal, where ∠1 and ∠5 are corresponding angles.

Since the corresponding angles are congruent, so the measure of the corresponding angles are equal.

i.e., m∠1 = m∠5.

Therefore, the lines a and b are parallel.

Thus, (C) is the correct option.

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Smoothing a time series of observations A. is a form of statistical cheating. B. allows statisticians to use less data than woul
DedPeter [7]

Answer:

D. is used to reveal an underlying pattern in the data.

Step-by-step explanation:

Smoothing a time series is achieved when a computer uses some pre-programmed calculation methods to remove noise from large volumes of data. Smoothing helps a user detect patterns in a set of data, thus making it possible to make future predictions. For example, smoothing can be used in the prediction of the rise and fall of stock prices. This helps the traders to have an idea of what to expect in the cost of trading.

Although smoothing reveals the patterns in a set of data, it provides no explanation as to why it is so. It is left to the researcher to draw conclusions as to the reasons for the patterns.

5 0
3 years ago
1. Graph the linear function f(x) = -2x + 1
anyanavicka [17]

Answer: The slope is -2 and the y-intercept is (0,1)

Step-by-step explanation:

3 0
2 years ago
Evaluate x=2<br> F(x)=2x+4
oee [108]
X=2
F(x)=2(2)+4
f(x)=8
8 0
3 years ago
7^8 divide by 7y =7^6 find the value of y
lisabon 2012 [21]
Answer: y = 7

Explanation:

7^8/7y = 7^6
7^7/y = 7^6
In order for 7^7 to become 7^6 you need to divide by 7

Which mean y = 7

So that:
7^7/7= 7^6
7^6 = 7^6
7 0
3 years ago
A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
Andrew [12]

Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

6 0
3 years ago
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