Answer:
m(arc FE) = 166°
Step-by-step explanation:
By theorem of intersecting chords and tangent of a circle,
Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.
m(∠GFE) = 
83° =
m(arc FE) = 166°
Answer:
y=x no
y=12x yes
y=1.6x yes
y=3/(4x) no
y=2x+1 no
y=3+x no
Step-by-step explanation:
If 25% of the people <em>are</em> vaccinated, then 75% of the people are <em>not</em> vaccinated. Of those not vaccinated, each has a 50% chance of contracting the disease. The probability that someone is both not vaccinated and contracts the disease is (0.75)(0.5)=0.375.
The probability that someone is vaccinated and contracts the disease is (0.25)(0.1)=0.025 (it is multiplied by 0.1 because if the vaccine is 90% effective, then there is a 10% chance someone that is vaccinated can contract the disease.
Add these together for the total: 0.375+0.025=0.4
There is a 40% chance that someone chosen at random will contract the disease.
