Answer:
Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius
so
step 2
Find the measure of arc MP
step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees
therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP
substitute the values
Answer:
im gonna say choice b
Step-by-step explanation:
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> the number of solved puzzles
y -----> the number of solved riddles
we know that
The solution of the inequality is the shaded area above the solid line
The slope of the solid line is negative
The y-intercept of the solid line is the point (0,4)
The x-intercept of the solid line is the point (2,0)
therefore
The graph in the attached figure
7 + 8 + 5 = 20 total marbles
8 blue
probability of picking a blue marble = 8/20, reduces to 2/5 = 0.40
since she puts the first marble back, the 2nd pick is the same probability as the first one
so the probability of picking 2 blue would be 0.40 x 0.40 = 0.16