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11Alexandr11 [23.1K]
3 years ago
5

Help on 3,4,5 please!

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

  3.  DF = 15

  4.  (x +y +2)(x +y +3)

  5. Tuesday

Step-by-step explanation:

3. The angle congruence tells you the triangles are similar. Corresponding sides have a ratio of 5/4:

  DE/AB = 10/8 = 5/4

  EF/BC = 12.5/10 = 5/4

  DF/AC = ?/12 = 5/4

Multiplying by 12, we find ...

  DF = 12(5/4) = 15

__

4. The first three terms look like (x+y)². The next two look like 5(x+y). So we can group terms to make the expression look like ...

  (x+y)² + 5(x+y) +6

We recognize factors of 6 that sum to give 5 as being 2 and 3, so we can factor this as ...

  (x+y +2)(x+y +3)

__

5. Jan 1 falls on a day of the week that is the first of 3 days of which there are 5 in the month.

There are 3 days between Monday and Friday, but only 2 days between Friday and Monday. Hence the 1st of January must fall on Tuesday that year.

There will be 4 of Fri, Sat, Sun, Mon, and 5 of Tue, Wed, Thu in the month.

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An experiment is carried out 400 times.
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 8
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Answer:

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Step-by-step explanation:

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Which of the following pairs of functions are inverses of each other ​
Ghella [55]

Option (A) represents the function and its inverse of a function option (A) is correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function and inverse of a function shown in the picture.

Checking for option (A):

\rm f(x) = \dfrac{x}{4}+10 \ \ \ and \  \ \ g(x)  = 4x -10

Taking f(x):

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To find the inverse of a function interchange the x and y variables:

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Thus, option (A) represents the function and its inverse of a function option (A) is correct.

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brainly.com/question/5245372

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indicates subtraction

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