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Sindrei [870]
3 years ago
8

Angle2 = angle ___because their corresponding angles of parallel lines cut by traversal

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer:

Angle2 = angle _6__because their corresponding angles of parallel lines cut by traversal

Angle 5 =angle <u>8 </u> by vertical angle theorem.

Step-by-step explanation:

Corresponding angles:

If two lines are parallel and a transversal intersect at two points of the parallel lines then we have corresponding angles are equal.

In the figure the corresponding pair angles given below are equal :

angle 2 and angle 6

angle 4 and angle 8

angle 1 and angle 5

angle 3 and angle 7

Vertical angle theorem:

If two lines intersect each other then vertical opposite angles are equal.

In the figure the pair of vertical angles which are equal are

angle 2 and angle 3

angle 1 and angle 4

angle 5 and angle 8

angle 6 and angle 7

Angle2 = angle _6__because their corresponding angles of parallel lines cut by traversal

Angle 5 =angle <u>8 </u> by vertical angle theorem.

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Help please? If you could answer both A and B that’d be great, but you can do only one if you want.
kati45 [8]

For a, this is just the median and the range of the data. Median is the middle number after all of them are in order, and the range is the highest number minus the smallest number.

If we arrange them all in order:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15

The middle ones are 8 and 9, because there is an even number of results. That means the median is 8.5.

The range is 15 - 2, which is 13.

For b, 21 is an outlier because it is outside the set of movies watched. If 21 was a value in the table, that means that the order is:

2, 4, 5, 5, 5, 6, 7, 8, 9, 9, 10, 10, 11, 12, 14, 15, 21

Meaning that the middle value is now 9 (because of the odd number of values) and the range is 21 - 2, which is 19. The range would increase because the 21 is greater than all the other values (outlier), so the highest number is now 21. The median would also increase because you added a higher number to the list of numbers, so that the middle would shift one place higher.

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2 years ago
A highway map of Ohio has a coordinate grid superimposed on top of the state. Springfield is at point (1, –4) and Columbus is at
Vedmedyk [2.9K]
The midpoint, where the rest area is, will just be the average of the coordinates of Springfield and Columbus.

Rest Area=((1+7)/2, (-4+1)/2)

Rest Area=(4, -1.5)

The distance between the two cities can be found using the Pythagorean Theorem, which used in the manner is often referred to as the "distance" formula between two points.

d^2=(x2-x1)^2+(y2-y1)

d^2=(7-1)^2+(1--4)^2

d^2=36+25

d^2=61

d=√61  and we are told that each unit is equal to 5.38mi so the distance from Springfield to Columbus is:

D=5.38√61 mi

D≈42.02mi  (to nearest hundredth of a mile)
3 0
3 years ago
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