3x +y = 23 this is the same as y=23-3x
3x - 2y = 8 this is the same as 3x/2-8/2=y, which gives you; y=1,5x-4
so;y=23-3xy=1,5x-4
y=y
23-3x=1,5x-4
23+4=1,5x+3x
27=4,5x
27/4,5=x
x=6
the y is:
3*6+y=23
18+y=23
y=23-18
<span>y=5</span>
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:
w = 103
x = 77
y = 42
z = 138
These should be the answers
17 inches
15^2 + 8^2 = 289
square root of 289 = 17 inches
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
