Answer:
Minimum angle = 108°
Step-by-step explanation:
From the figure attached,
Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.
Let the angle between A and B measure a°.
If we complete a star pentagon by joining the vertices of the star,
Formula to measure the internal angle of a polygon is,
Measure of internal angle = 
Measure of ∠ABC = 
= 108°
Since, one side star divides the interior angle into three equal parts,
Measure of interior angle = 
= 36°
From ΔAOB,
m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]
36° + a + 36° = 180°
a + 72° = 180°
a = 180 - 72
a = 108°
Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.
Answer:
umm i just woke up maybe later
Step-by-step explanation:
the first one is 6 red beads to 9 blue beads
the second one is 10 red beads to 15 blue beads
the last one is 14 red beads to 21 blue beads
hope this helps
When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
[beautiful math coming... please be patient] <span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span></span></span>
Some people write this formula with <span><span>100%</span><span>100%</span></span>
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
<span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span><span>PERCENT INCREASE=<span><span>(new amount−original amount)</span>original amount</span>⋅100%</span></span>
Recall that <span><span>100%=100⋅<span>1100</span>=1</span><span>100%=100⋅<span>1100</span>=1</span></span>
.
So, <span><span>100%</span><span>100%</span></span>
is just the number <span>11</span>
!
Multiplying by <span>11</span>
doesn't change anything except the name of the number!
Hope this helps
