Answer:
∠ABE and ∠CBD
∠ABC and ∠EBD
Step-by-step explanation:
we know that
<u>Vertical Angles</u> are the congruent angles opposite each other when two lines cross
so
In this problem we have that
m∠ABE=m∠CBD ----> by vertical angles
m∠ABC=m∠EBD ----> by vertical angles
therefore
The angles that are vertical angles are
∠ABE and ∠CBD
∠ABC and ∠EBD
Answer:
The required probability is 0.6517
Step-by-step explanation:
Consider the provided information.
North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.
μ₁ = 130 and σ₁ = 8
Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
μ₂ = 120 and σ₂ = 10
As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be 
Therefore,
μ = 130-120=10

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:


Now by using the z table we find the z- score of -0.39 is 0.6517.
Hence, the required probability is 0.6517
Answer:
3.5 or 3 and 1/2
Step-by-step explanation:
3 and 15/16 / 1 and 1/8