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VLD [36.1K]
3 years ago
8

Find the sum of the interior angle measures of a convex 21-gon

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

  3420°

Step-by-step explanation:

The sum of angle measures of an n-gon is ...

  angle total = (n-2)×180°

For n = 21, the angle total is ...

  21-gon total = (21 -2)×180° = 3420°

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A number was subtracted from 15. After which, that result was multiplied by 5. This result was then divided by 5 for a result of
likoan [24]

Answer:

14

Step-by-step explanation:

15-14 = 1

1*5=5

5/1=1

6 0
3 years ago
What is the point slope form of the points?
Darina [25.2K]

the equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, - 1) and (x₂, y₂) = (1 1/2, 2 )

m = \frac{2+1}{11/2+4} = \frac{3}{5 1/2} = \frac{6}{11}

using (a, b) = (- 4, - 1), then

y + 1 = \frac{6}{11}(x + 4)


6 0
3 years ago
The x- and Y negative coordinates have the same sign​
ale4655 [162]

Answer:

if the x and y coordinates that mean that number is the solution to whatever the question is.

Step-by-step explanation:

4 0
3 years ago
Enter an equation in point-slope form for the perpendicular bisector of the segment with endpoints M(−3, 7) and N(9, −3). The po
scZoUnD [109]

Answer:

5y - 6x = 53

Step-by-step explanation:

Given the segment with endpoints  M(−3, 7) and N(9, −3), let us find the slope first

m = y2-y1/x2-x1

m = -3-7/9-(-3)

m = -10/12

m = -5/6

Since the unknown line forms a perpendicular bisector, the slope of the unknown line will be:

m = -1/(-5/6)

m = 6/5

To get the intercept of the line, we will substitute m = 6/5 and any point on the line say (-3, 7) into the equation y = mx+c

7 = 6/5 (-3)+c

7 = -18/5 + c

c = 7 + 18/5

c = (35+18)/5

c = 53/5

Substitute m = 6/5 and c = 53/5

y = 6/5 x + 53/5

multiply through by 5

5y = 6x + 53

5y - 6x = 53

hence the point-slope equation of the perpendicular bisector is 5y - 6x = 53

6 0
3 years ago
Point Q is plotted on the coordinate grid. Point P is at (10, −20). Point R is vertically above point Q. It is at the same dista
bixtya [17]

Answer:

Point R is at (−20, 10), a distance of 30 units from point Q

Step-by-step explanation:

Q has coordinates (-20,-20).

P has coordinates (10,-20)

Since point R is vertically above point Q, it will have the same x-coordinate as Q.

Let R have coordinates (-20,y).

It was given that;

|RQ|=|PQ|

\Rightarrow |y--20|=|10--20|

\Rightarrow y+20=10+20

\Rightarrow y=10+20-20

\Rightarrow y=10.

The coordinates of R are (-20,10).

The dstance from Q is 30 units.

3 0
3 years ago
Read 2 more answers
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