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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Answer:

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Step-by-step explanation:

because of the type of triangle (isosceles) the 2 angles on the bottom near the equal sides will have equal angle sizes so...

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What is the area of this figure? Nearest tenth. Use 3.14 for pi if needed.

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Answer:

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Step-by-step explanation:

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What is the x intercept of 3x + 6y =96

Answers

Answer:

(32,0) is the x intercept

Which best describes the solutions to the inequality x> 102
10 and every whole number greater than 10
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a rational number infinitely close to 10 but greater than 10, and all other whole numbers greater than 10

Answers

Answer:

B

Step-by-step explanation:

i took the test

Answer:

Question 2-(B) a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10

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Step-by-step explanation:

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Answer:

1:8 or 1/8

Step-by-step explanation:

That's your answer.....

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Answer:

Step-by-step explanation:

Find the slope please hurry

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Answer:

2

Step-by-step explanation:

A cable that is 42 feet long is divided into lengths in the ratio 3:4. What are the two lengths into which the cable is divided?

Answers

Answer:

18 ft and 24 ft

Step-by-step explanation:

3:4

6:8

9:12

12:16

15:20

18:24, 18+24=42

The two  lengths into which the cable is divided is 18 and 24.

Given that,

A cable that is 42 feet long is divided into lengths in the ratio 3:4.

Based on the above information, the calculation is as follows:

The first length be

[tex]= 42 \times 3 \div (3 + 4)[/tex]

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And, the second length be

[tex]= 42 \times 4 \div (3 + 4)[/tex]

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Plsssss help me this is urgent.
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Answers

Tank A has a greater volume.

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Answers

Answer:

Step-by-step explanation:

2(x - 8) = 24

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Bringing like terms on one side

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2x = 40

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x = 20

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Answers

Answer:

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Step-by-step explanation:

2 ounces per dozen cookies

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Answer: 6x+y

Step-by-step explanation:

Just convert the words into operations.

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Answers

Step-by-step explanation:

4x²-64

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Answers

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6

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

JF=45

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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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Step-by-step explanation:

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Answers

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Answers

Connect the arrows with a straight line

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Answers

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.


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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answers

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Step-by-step explanation:

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