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Dmitrij [34]
3 years ago
15

In the diagram, how many angles are alternate exterior angles with angle 5?

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

Answer:

Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.

Step-by-step explanation:

An exterior angle is an angle outside of the shape (hence ex meaning out). However, an ALTERNATE angle is an angle opposite of a transversal line of another angle. The angles on the same transversal line of 5 are 8, 7, 9, 10, 12, and 11. However, we are looking for ALTERNATE EXTERIOR angles not just exterior. 8, 7, 9, 10, and 12 are just exterior which leaves angle 11 as alternate exterior. Angle 11 is the alternate exterior of angle 5 meaning there is only 1 angle that is alternate of angle 5.

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Natalka [10]
All of the centra angles in a regular polygon must add up to 360 degrees. Also, because you're told that it is a regular polygon, the "regular" indicates that all of the central angles will be the same. Divide 360 degrees by 18 degrees to get the number of central angles, which is the same as the number of sides. 360/18 = 20. Therefore, the polygon has 20 sides. Hope that helps!
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3 years ago
The fraction bar represents which equation?
Vera_Pavlovna [14]

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Step-by-step explanation:

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3 years ago
Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
3 years ago
-1 and 3/5 divided by (-2/3) as a mixed number
goblinko [34]

Answer:

2 2/5

Step-by-step explanation:

change -1 3/5 to an improper fraction

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-1 3/5 ÷ -2/3 =

-8/5 ÷-2/3

copy dot flip

-8/5 * -3/2

24/10

divide top and bottom by 2

12/5

change back to a mixed number

5 goes into 12  2 times (5*2=10) with 2 left over

2 2/5

4 0
3 years ago
suppose a normal distribution has a mean of 20 and a standard deviation of 4 a value of 26 is how many standard deviations away
marysya [2.9K]
Logically you can see that since 26 is half way between 24&28 it is 1/2 sd. See sketch

5 0
3 years ago
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