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Sergio039 [100]
4 years ago
9

PLZ HELP ASAP (10 points)

Mathematics
1 answer:
Korolek [52]4 years ago
8 0

Answer:

<DAB= 98

Step-by-step explanation:

Remark

I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).

Equation

2x + 36 = 3x - 5                    Add 5 to both sides

2x + 36 + 5 = 3x  - 5 + 5      Combine

2x + 41 = 3x                          Subtract 2x from both sides

2x - 2x + 41 = 3x - 2x           Combine

41 = x

Answer

<DAB = 2x + 36

<DAB = 2*41 + 36

<DAB = 82 + 36

<DAB = 98


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There are 27 red or blue marbles in a bag. The number of red marbles is five less than three times the number of blue marbles. H
sveticcg [70]

The number of red marbles in the bag is 19 and the number of blue marbles is 8.

<u>Explanation:</u>

Let R be the number of red marbles

Let B be the number of blue marbles

According to the question,

R + B = 27 (Total number of marbles is 27 )                 -1

R = 3B - 5 (Number of red marbles is 5 less than 3 times the number of blue marbles )

Substitute the right half of the second equation for R in the first equation

3B - 5 + B = 27

Add 5 to each side and combine the Bs

4B = 32

Divide both sides by 4

B = 8

Use this value of B in the first equation

R + 8 = 27

R = 19

Therefore, number of red marbles in the bag is 19 and the number of blue marbles is 8.

7 0
3 years ago
How many different three-digit numbers can be written using digits from the set 5, 6, 7, 8, 9 without any repeating digits?
suter [353]

Answer: 60 different numbers can be formed

Step-by-step explanation:

Note that we have 5 different digits, and we must select 3 of them. They should not be repeated

The order of selection is important in this case, because the number 532 is not the same as the number 235.

So we have a permutations problem, where we have a set of n elements and we want to choose r from them.

Then we define the permutacion as:

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In this case note that n=5 because there are 5 elements in the set.

r = 3 because we combine the elements to form three-digit numbers

Then:

5P2=\frac{5!}{(5-3)!}

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4 0
3 years ago
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kap26 [50]

Answer:

- {4}  < x <  - 6 \\

Step-by-step explanation:

5 <  - 4x - 11 < 13

Add 11 to both sides of the inequality to make - 4x stand alone

5 + 11 <  - 4x - 11 + 11 < 13 + 11 \\ 16 <  - 4x < 24

Divide both sides by - 4

-  \frac{16}{4}  <   \frac{ - 4x}{ - 4}  <   - \frac{24}{4}  \\   - {4}  < x <  - 6

Reverse the signs

We have the final answer as

-  4 > x >  - 6 \\

Hope this helps you

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