Answer:
x=-4
Step-by-step explanation:
These two angles have to equal 180 because they are opposite of each other. Therefore, the equation will be 129+x+x+59=180. You add all common terms. 2x+188=180. You want to isolate x so you have to subtract both sides by 188. Therefore, the equation will be 2x=-8. Divide both sides by 2 to isolate x. x=-8/2. This is equal to x=-4.
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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:
5.33%
Step-by-step explanation:
Answer:
x=2 or x=3
Step-by-step explanation:
x^4 - 5x^3 + 7x^2 - 5x + 6 = 0
Step 1=Factor left side of equation.
(x-2) (x-3) (x^2 + 1) = 0
Step 2=Set factors equal to 0.
x-2 = 0 or x-3 = 0 or x^2 + 1 = 0.
Answer:x=2 or x=3
Answer:
2 cups
Step-by-step explanation:
3 + 3 = 6 (one cup)
4 + 2 = 6 (two cups)
