The measure of angle A is 4 degrees greater than the measure of angle B. The two angles are complementary. Find the measure for each angleThe measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle.

4 hours and 39 minutes before 7:53 p.m. is 6:34 p.m.

To find the time 4 hours and 39 minutes before 7:53 p.m., we can subtract the given time from the duration.

Step 1: Convert 4 hours and 39 minutes into minutes.

4 hours = 4 * 60 = 240 minutes

Total duration = 240 minutes + 39 minutes = 279 minutes

Step 2: Subtract the duration from the original time.

7:53 p.m. - 279 minutes

Subtract the minutes first:

53 minutes - 279 minutes = -226 minutes

Now, since the result is negative, we need to "borrow" an hour from the original time:

7 p.m. - 1 hour = 6 p.m.

So, 4 hours and 39 minutes before 7:53 p.m. is 6:34 p.m.

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3 arrays - 1 x 9 (or 9 x 1) and 3 x 3

Hence, the number of arrays = 2 x 2 = 4 = even

First, we pair the different factors of 9.

The different factors of 9 are:

(1, 9) and (3, 3)

For each pair, Mr. Deets can make 2 arrays.

So, the total number of arrays that Mr. Deets can make = 2 x 2 = 4 and hence the number of arrays is even.

Answer:

4 arrays,

Number of arrays is even.

Step-by-step explanation:

∵ The possible pairs of two numbers which give 9 after multiplication,

( 3, 3) and (9, 1),

So, the possible array would be,

3 × 3, 9 × 1

Note : 9 × 1 can also be written as 1 × 9,

According to the question,

For each pair of different factors, there are two arrays,

3 × 3 and 9 × 1 are two arrays with no same factor,

Hence, the total arrays = 2 × 2 = 4

Which is an even number.

Answer:

Refer below for the explanation.

Step-by-step explanation:

As per the question we are asked to combine f(n) = 11 and g(n) = −2(n − 1), both of them to create arithmetic sequence and solve for 31st term.

So first we are about to solve and combine both of the equation which becomes ,

Fn = 11 -2(n-1)

Fn=11-2(n-1)

F31=-49

Fn=11-2(n-1)

F31=-51

Fn=11+2(n-1)

F31=71

Fn=11+2(n-1)

F31=73

Final answer:

To create an arithmetic sequence using the given functions, we add the functions together and substitute the desired term. The 31st term of the arithmetic sequence is -49.

Explanation:

To combine the functions f(n) = 11 and g(n) = -2(n - 1) into an arithmetic sequence, we need to find the common difference between the terms. The common difference between the terms in an arithmetic sequence is obtained by subtracting one term from the previous term. In this case, the common difference is g(n). So, the arithmetic sequence can be expressed as an = f(n) + g(n).

For the 31st term, we substitute n = 31 into the equation and calculate:

a31 = f(31) + g(31)

a31 = 11 + [-2(31 - 1)]

a31 = 11 + [-2(30)]

a31 = 11 + [-60]

a31 = -49

Therefore, the 31st term of the arithmetic sequence an is -49.

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