a glass top of an office table is in the form of rectangle. The diagonal of the table have length 5x-11 and 2x+25

1.what is the value of x?
2.what us the length of the diagonal?​

Answers

Answer 1

Answer:

1) The value of [tex]x[/tex] is 12.

2) The length of the diagonal is 49.

Step-by-step explanation:

1) If the glass is a rectangle, then both diagonal must have the same length, that is, the following equation must be solved:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex] (1)

We need some algebraic handling to determine the value of [tex]x[/tex]:

[tex]5\cdot x - 11 = 2\cdot x + 25[/tex]

[tex]5\cdot x - 2\cdot x = 25 +11[/tex]

[tex][5+(-2)] \cdot x = 36[/tex]

[tex]3\cdot x = 36[/tex]

[tex]x = 12[/tex]

The value of [tex]x[/tex] is 12.

2) If we know that [tex]x = 12[/tex], then the length of the diagonal ([tex]d[/tex]) is:

[tex]d = 2\cdot x + 25[/tex]

[tex]d = 49[/tex]

The length of the diagonal is 49.


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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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