Answer:
D
Step-by-step explanation:
151 + 29 = 180
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
Answer:
the slope of this line is 3/4
Step-by-step explanation:
Answer:
y = 3x - 5
Step-by-step explanation:
I used my calculator so that it would be faster.
But if you want work you have to find the slope then plug in.
To find the slope use points (1, -2) and (2, 1) use this formula 
Plug the points in 
So your slope is 3
NOw Plug In (1, -2)
-2 = 3(1) + b (b represents the y- intercept)
-2 = 3 + b (subtract 3 on both sides)
-5 = b
The final equation is y = 3x - 5
Hope this helps ya!!
Take total and subtract what u had left then take what that answer is and divide it by the 7 pencils and u will get ur answer
