Answer:
x = 105 degrees.
Step-by-step explanation:
The small polygon is a regular hexagon so each internal angle = 120 degrees while the large polygon is a regular octagon with internal angle =
135 degrees.
So angle x = 360 - ( 120 + 135)
= 360 - 255
= 105 degrees.
Note we use the fomula T = 180( n - 2) to find total internal angles in an n sided polygon. So for hexagon T = 180(6-2) = 180*4 = 720 so each internal angle in a regular hexagon = 720/6 = 120 degrees.
If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4
59.4 x 8= 475.2
Therefore the total area for the octagon should be 475.2 units^2
Hope this helps !
Answer:
I couldnt write it on the computer because i wanted to draw other stuff to help you understand so i did it on paper. The photo is below!
Step-by-step explanation:
Answer:
The answer is: f(x) = -2x^2 - 4x + 30
Step-by-step explanation:
Given:
f(x)=-2(x-3)(x+5)
Solve (x-3)(x+5) first, then multiply by -2:
f(x) = -2[(x - 3)(x + 5)]
f(x) = -2[x^2 -3x + 5x - 15]
f(x) = -2[x^2 + 2x - 15]
f(x) = -2x^2 - 4x + 30
Hope this Helps!! Have an Awesome Day!! (-: