Answer: 105 and angel 2 are alternate exterior angles, angle 2 is 105 degrees. Angles 1 and 2 and supplementary so 180-105 is 75. Angle 1 measures 75 degrees.
Step-by-step explanation:
The answer is A.
X^3=64
x= 3 square root of 64
x=4
x^2+ square root of x= 4^2+ the square root of 4= 16+2=18
Answer:
6x + 5/6
Step-by-step explanation:
2(x + 1/4) + 2(2x + 1/3)
2x + 1/2 + 4x + 2/3
6x + 5/6
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
