So we see the ratio of the sides of two similar octagons is 2:5 so let's say the first octagon has a side of 2 and the other has a side of 5. 2*8 = 16 and 5*8 = 40. 16:40 = 4:10 = and is again 2:5. So the answer is 2:5.
The complete question in the attached figure
we know that
<span>An<span> exterior angle</span></span><span> is one that has its vertex at an outer point of the circumference.
</span><span>The measure of the external angle is the semi-difference of the arcs that it covers.
in this problem the external angle is </span>∡(9x-5)°
and
the semi-difference of the arcs that it covers is (1/2)*(158°-64°)=47°
then
(9x-5)=47-------> 9x=47+5----------> 9x=52--------> x=5.78°
the answer is
x=5.78°
Answer:
20/25
Step-by-step explanation:
divide the denominators
25/5=5
multiply the numerator
4*5=20
Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%
b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%
c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%