Jamal has the better record. After comparing the too Jamal made his free throw 77% of the time. Brian on the other hand made his free throws only 62.5% of the time.
Its is true that C ⊆ D means Every element of C is present in D
According to he question,
Let C = {n ∈ Z | n = 6r – 5 for some integer r}
D = {m ∈ Z | m = 3s + 1 for some integer s}
We have to prove : C ⊆ D
Proof : Let n ∈ C
Then there exists an integer r such that:
n = 6r - 5
Since -5 = -6 + 1
=> n = 6r - 6 + 1
Using distributive property,
=> n = 3(2r - 2) +1
Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then
Let s = 2r - 2
Then, m = 3r + 1 with r some integer and thus m ∈ D
Since , every element of C is also an element of D
Hence , C ⊆ D proved !
Similarly, you have to prove D ⊆ C
To know more about integers here
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Step-by-step explanation:
Nickels = 112 * 3 / (3 + 4 + 7) = 24.
C. because u can't name a congruent triangle by angle angle angle
Answer:
The height of the arch 50ft from the center is 97ft
Step-by-step explanation:
A bridge over a gorge is supported by an arch in the shape of a semi-ellipse
The length of the bridge is 400 ft. and the maximum height is 100 ft
so, a=200ft
b=100ft
(a)
we can draw picture
(b)
now, we can use equation of ellipse formula
now, we can plug
a=200
b=100
we can plug x=50 and find y
