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lorasvet [3.4K]
3 years ago
6

The sum of two numbers is 38 and the difference is 16. Find each of the numbers.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
4 0
Let's say the smaller number is x, and the bigger number is x + 16. the sum of them would be x + x + 16 = 38. subtract 16 from both sides and combine like terms to get 2x = 22. divide both sides to get x = 11. the smaller number (x) is 11, and the bigger number (x+16) is 27.
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Homework 1:Pythagorean Theorem and it’s Converse<br><br> Find The Value of X
Viefleur [7K]

The figure gives a dimension for the hypotenuse of 19

the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:

19^2 = 17^2 + base^2

Simplify:

361 = 289 + base^2

Subtract 289 from both sides:

72 = base^2

Take the square root of both sides:

Base = 8.49 Round to 8.5

There are two identical triangles on each sides, so 8.5 x 2 = 17

The length of the two triangle bases is 17

The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14

And X would be the same length as the bottom rectangle.

Therefore x = 14

3 0
3 years ago
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NemiM [27]

Answer:

The correct option is e) $4.90

Step-by-step explanation:

Consider the provided information.

It is given that the Sales is $20.50  million

Operating costs excluding depreciation $12.60 million

Depreciation $3.00  million

Operating income (EBIT) = Net Earnings - Operating costs - Depreciation

Operating income (EBIT) = $20.50 - $12.60- $3.00

Operating income (EBIT) = $ 4.90

Hence, the correct option is e) $4.90

3 0
3 years ago
Someone Please help me answer this question.
pickupchik [31]

Answer:

79

Step-by-step explanation:

<7=4x+1(corresponding angles)

So

3x+4+<7=180(angles on straight line)

So

3x+4+4x+1=180

7x+5=180

7x=180-5

7x=175

x=25

Now

<8=3x+4 (vertical angles)

So.

<8=3(25)+4

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3 years ago
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Brut [27]

<u>Given</u>:

The sum of 5 consecutive integers is 110.

Let the sequence be x, x + 1, x + 2, x + 3, x + 4

We need to determine the fourth number in the sequence.

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Since, the sum of 5 consecutive integers is 110.

Thus, we have;

x+x+1+x+2+x+3+x+4=110

Adding the like terms, we have;

5x+10=110

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Thus, the value of x is 20.

<u>Fourth term:</u>

The fourth term of the sequence is x + 3

Substituting x = 20 in the term, we get;

Fourth term = 20 + 3 = 23

Thus, the fourth term of the sequence is 23.

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3 years ago
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marishachu [46]

Answer:

next to or adjoining something else.

or

GEOMETRY

(of angles) having a common vertex and a common side.

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