Given a(-2,0); b(2,0); c(4,3); d(0,4); and e(-4,3) find the area and perimeter

If you graph the points and count the length you would get bases, 4 and 8 and the height 3

split it in two triangles like this http://prntscr.com/mtt4sq

then the triangle area formula base*height/2

8*3/2 = 12

4*3/2= 6

12+6=18

Now if we add the top triangle/s.

b*h/2

8*1/2=4

There are two triangles

The top half would equal 8.

18+8=26

The area would be 26

For perimeter:

We just need to find the hypotenuse since we know the height and the base of the triangle in the corner the base is 2.

http://prntscr.com/mtt5bx

Using a2+b2=c2

2^2+3^2=c^2

4+9=13^2

13^2=3.6

Now we know all 4 sides.

3.6+3.6+4=11.2

This is for the bottom half total.

For the top triangle hypotenuse:

a^2+b^2=c^2

4^2+1^2=c^2

16+1=c^2

17^2=4.1

11.2+8.2= 19.4

The perimeter is 19.4

Hope this helped. :)

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value