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Mkey [24]
3 years ago
6

Determine which characteristics are true of vertical angles.

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

First option: Yes.

Second option: Yes.

Third option: No.

Fourth option: Yes.

Step-by-step explanation:

By definition, vertical angles are formed when two lines intersect.

They share a common vertex and they are non-adjacents angles (adjacent angles are those  have a common side and a common vertex. They are supplementary, which means that their sum is 180°); therefore they are opposite to each other.

Vertical angles are congruent, which means that they have equal measure.

The sum of the two pairs of vertical angles formed by the intersection of the lines, is 360°.

 Observe the intersecting lines"A" and "B" in the picture attached. Notice that four angles are formed.

Based on the characteristics of vertical angles, we can conclude that:

\angle1 and \angle3 are vertical angles.

\angle2 and \angle4 are vertical angles.

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the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia
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The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

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1 year ago
Will mark brainlest please help
kodGreya [7K]

Answer:

B) f(x) ≥ 3x + 4

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Step-by-step explanation:

hope it helps

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5._35 rounded to the nearest whole number is 5?<br><br><br> Giving brainlists
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Mumz [18]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

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F. (0,5) and (-4,2) As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4. This is the line with slope 3/4.

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