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3 years ago

The sum of 2 consecutive odd integers is 52. If x represents the smaller integer, then the larger integer is

Mathematics

2 answers:

julsineya [31]3 years ago

5 0

Answer:

Step-by-step explanation:

2x+2=52

2x=50

x=25

x+2=27

Alex73 [517]3 years ago

4 0

In order to find the larger integer, we simply add 2 to x.
This may sound confusing, but consider that 1 is an odd number. Add 2, and you get 3. Add 2, and you get 5, and so on. By adding 2 to an odd number, you'll get another odd number (this works for even numbers too!).

The equation should be
x + (x + 2) = 52
2x + 2 = 52
2x = 50
x = 25
25+2=27

The larger integer is 27

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What is the answer to this problem

Tpy6a [65]

Step One

Solve for CE as a numerical value

CE = 1/2 * CD = 1/2 66 = 33

CE = 33

Step Two

Solve for x

CD also equals x^2 - 3 which is given.

x^2 - 3 = 33 Add 3 to both sides

x^2 = 33 + 3

x^2 = 36 Take the square root of both sides

sqrt(x^2) = sqrt(36)

x = 6

Step 3

Find the length of AE

AE is given as 6x - 10

x = 6

AE = 6*6 - 10

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AE = 26

Step 4

Find AB

AE = 1/2 AB Definition of bisect

26 = 1/2 AB Multiply by 2

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AB = 52 <<<<<<<<Answer

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3 years ago

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Step-by-step explanation:

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3 years ago

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pogonyaev

a) is your answer

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2 years ago

The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of

RoseWind [281]

The length of longer base is 41 feet

Solution:

The area of trapezoid is given as:

$A = \frac{a+b}{2} \times h$

Where , "a" and "b" is the length of base and "h" is the height

The length of one base of a trapezoid is 19 less than five times the length of the other base

a = 19 less than fives times b

a = 5b - 19

Height of 18 feet and an area of 477 ft squared

h = 18 feet

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Substitute the values in above formula

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Therefore,

a = 5b - 19 = 5(12) - 19 = 41

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3 years ago

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Morgarella [4.7K]

ANSWER

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3 years ago