Answer:
15 a. It is not a rectangle bc the sides of a rectangle are always the same.
b. It is a right triangle bc on D it is 90 degrees.
c. It is not an isosceles triangle bc an isosceles triangle's base is always even but the one in the picture is not
Step-by-step explanation:
Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

80
Answer:
Step-by-step explanation:
Answer:
k=4
Step-by-step explanation:
The empirical rule is only applicable on normal distribution while Chebyshev’s theorem is applicable to all type of distribution.
Chebyshev’s theorem states that at least 1-1/k² of data lies within μ±kσ interval.
We have to find the value of k for interval (74,90).
We are given that mean=μ=82 and standard deviation=σ=2
μ-kσ=74
82-k*2=74
82-74=2k
8/2=k
k=4.
Or
μ+kσ=90
82+k*2=90
2k=90-82
2k=8
k=8/2
k=4.
Thus, for k=4 for the interval between 74 and 90 scores.