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ikadub [295]
3 years ago
13

Are the following triangles similar? Justify your answer.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
Yes they are similar because one they're both 90 degree angles, and two if you divide 12÷8 it'll equal 1.5
Same thing with the other side. If you divide 36÷24 it'll equal 1.5
and this shows proof of similarity since its like half the sides, but they both have the same angles.
(Sides doesn't matter, its the angles)
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5 apples cost $7.50. Find the cost of 6 apples. please explain
butalik [34]

Answer:

$9

Step-by-step explanation:

7.50/5= $1.5 an apple

6* 1.5 = $9 for 6 apples

4 0
3 years ago
Read 2 more answers
If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A
Nuetrik [128]

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

4 0
3 years ago
Find the least common multiple of 12 and 18?
Evgesh-ka [11]
36 is the correct answer
8 0
2 years ago
A study of 420,090 cell phone users found that 135 of them developed cancer of the brain or nervous system. Prior to the study o
Pepsi [2]
I have no clue I would help but have know clue
7 0
3 years ago
PLEASEEEEEEEEEEEEEEEEEE URGENT
jeyben [28]

Option C:

f(x) = 5x + 7 is the function of the input-output table.

Solution:

Option A: f(x) = 6x + 9

Input x = 1 in the above equation.

f(1) = 6(1) + 9

    = 6 + 9

f(1) = 15

But the output is 12 in the table.

So, it is not the function of the table.

Option B: f(x) = 7x + 5

Input x = 1 in the above equation.

f(1) = 7(1) + 5

f(1) = 12

Input x = 5 in the above equation.

f(5) = 7(5) + 5

f(5) = 40

But the output is 32 in the table.

So, it is not the function of the table.

Option C: f(x) = 5x + 7

Input x = 1 in the above equation.

f(1) = 5(1) + 7

f(1) = 12

Input x = 5 in the above equation.

f(5) = 5(5) + 7

f(5) = 32

Input x = 10 in the above equation.

f(10) = 5(10) + 7

f(10) = 57

Input x = 5 in the above equation.

f(15) = 5(15) + 7

f(15) = 82

All outputs are correct for the given input.

Hence it is the function of the table.

Option D: f(x) = 12x + 1

Input x = 1 in the above equation.

f(1) = 12(1) + 1

f(1) = 12

Input x = 5 in the above equation.

f(5) = 12(5) + 1

f(5) = 61

But the output is 32 in the table.

So, it is not the function of the table.

Hence Option C is the correct answer.

f(x) = 5x + 7 is the function of the input-output table.

4 0
3 years ago
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