Answer:
x=9
Step-by-step explanation:
a scale drawing means all the sides are multiplied by the same amount. to find this amount, you can divide the larger side by the bigger side by the smaller side.
15/5 = 3
12/4 = 3
therefore the scale factor is 3. to get the value of x, multiply the value of the third side by 3.
3*3=9
x=9
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
Area of a circle is π*r²
sub what we're given
49π= πr²
49π= π*r²
r²= 49π/π
r²=49
r=7
The diameter is twice the radius therefore the diameter is 14 units
after 6 hours Al and Ben will be 180 miles apart.
(22 * x) + (8 * x) = 180
x = 6 hours
Step-by-step explanation:
WYXV is quadrilateral.
the reason are the undefined angles at W and V (they are equal, but not necessarily 90°, so the shape could shrink or extend between W and V)
ABCD is a rectangle.
AB and CD are parallel and equally long. and C is 90°.
that means then that the other angles must be 90° too, or either the parallel or equally long criteria would be violated.
PQSR is a parallelogram.
PQ and RS are parallel and equally long.
that means that PR and QS must also be parallel and equally long. we just don't know the angles, they could be anything. and therefore this is not a rectangle but a more generic parallelogram.
