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natulia [17]
3 years ago
13

Identify the point from the equation: y + 5 = 3(x - 2)

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0

Answer:

The point is (2,-5)

Step-by-step explanation:

we have

y+5=3(x-2)

This is the equation of the line written in point slope form

so

y-y1=m(x-x1)

where

The slope is equal to

m=3

The point (x1,y1) is

(2,-5)

therefore

The point is (2,-5)

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The exterior angles of a pentagon are (m+5)°, (2m+3)°, (3m+2)°, (4m+1)° and (5m+4)° respectively. Find the measure of each angle
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Answer:

Step-by-step explanation:

Sum of exterior angles of any polygon =360°

Sum of exterior angles of polygon = 360°

m + 5  + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360

m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4  = 360  {Combine like terms}

15m + 15 = 360 {Subtract 15 from both sides}

        15m = 360 - 15

        15m = 345 {Divide both sides by 15}

           m = 345/15

m = 23

m + 5 = 23 + 5 = 28°

2m + 3 = 2*23 + 3 = 46 + 3 = 49°

3m + 2 = 3*23 + 2 = 69 + 2 = 71°

4m + 1 = 4*23 + 1 = 92 + 1 = 93°

5m + 4 = 5*23 + 4 = 115 + 4 = 119°

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