Answer:
4
Step-by-step explanation:
<span>The basic arithmetic operations are addition, subtraction, multiplication and division, the subject also includes more advanced operations, such as manipulations of percentages, square roots, exponentiation, and logarithmic functions.</span>
Answer:
3 5/12
Step-by-step explanation:
4 3/4 - 1 1/3
3 x 3/4 x 3
4 9/12 - 1 1/3
1 x 4/3 x 4
4 9/12 - 1 4/12
4 - 1 = 3
9/12 - 4/12 = 5/12
3 5/12
Answer:
D. none
Step-by-step explanation:
The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.
Answer: none
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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