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.


Related Questions

can anyone help giving 5 stars

Answers

Answer:

A=12

Step-by-step explanation:

C=3

Answer:

Side a: 12

Side c: 4

Step-by-step explanation:

1 Factor the polynomial over the set of real numbers. (a) f(x) = 25x^2 - 10x - 24​

Answers

Answer:

(5x+4)(5x-6)

Step-by-step explanation:

[tex]25x^{2} -10x-24[/tex]

Separate into two parts, first realizing that the only two factor pairs for 25 are 5 and 5 or 1 and 25. Using 5 and 5 makes the most sense, so

(5x      )(5x     )

The other two numbers need to multiply to -24 and add up to -10.

Pairs that muliply to 24 could be 1 and 24, 2 and 12, 3 and 8, and 4 and 6. The more you factor the easier it will be to quickly discern which numbers to use. In this case, the right pair is 4 and 6. Because it needs to add up to -10, it should be 4 and -6 (because multiplying out, -30 + 20 = -10).

Thus, the final factored equation is (5x+4)(5x-6). You can check this by FOILing and making sure you get the original equation.

If cose
=-2/3
-, which of the following are possible for the same value of e?

Answers

Answer:

B?

Step-by-step explanation:

Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.

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.

|(x-19)+11| considr all posibilyties

ill give you brainlyest

Answers

Answer: Here Is the answer

Step-by-step explanation: hoep this helps :)

Pythagorean therom HELPPPO

Answers

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

PLEASE HELP ME I AM SO LOST
2+2=?
please i am desperate this is due today

Answers

Answer:

I think 4?????

Step-by-step explanation:

I don't know

Answer:

...

2 + 2 = 4

hope that helps...

Quadrilateral HGFJ is a rhombus. GF = 45 cm and mZGHK= 28°. K к What is JF and mZKGH? ? H Н Enter your answers in the boxes. JF = cm O mZKGH =​

Answers

Answer:

JF=45

KGH=62

Step-by-step explanation:

since the quadrilateral is a rhombus, its sides are equal GF=FJ and so on

Diagonals of a rhombus bisect each other at 90° angles, to find the missing value we subtract 90+28(the given angle) to get 62

factor the polynomial FULLY?

Answers

Step-by-step explanation:

4x²-64

(2x)²-(8)²

a²-b²=(a+b)(a-b)

=(2x+8)(2x-8)

Therefore, the factors are -4 and 4.

yes the factors are indeed 4 and -4 boom your welcome

What is the value of x?

Answers

Answer:

B) 9

Step-by-step explanation:

[tex]\frac{2x-8}{2x-3} = \frac{x-3}{x}[/tex]

x = 9

The answer would be nine (9)

help what is 36,000÷10 with a power of 3

Answers

Answer:

36

Step-by-step explanation:

Find the measure of the indicated angle to the nearest tenth.

Answers

Answer:

51.6 degrees

Step-by-step explanation:

Use the inverse tangent to find the angle.

Remember tangent is the ratio of the opposite leg over the adjacent leg.

[tex]tan^{-1} =(13.9/11);[/tex]=51.6

Plsssss help me this is urgent.
Which tank has the greater volume?
Tank A has a diameter of 10 ft and a height of 3 ft. Tank B has a diameter of 6 ft and a height of 8 ft

A.Tank B has a greater volume.

B.Tank A and Tank B have the same volume.

C.Tank A has a greater volume

Answers

Tank A has a greater volume.

Find the scale factor of quad JKLM to quad ABCD

Answers

Answer:

1:8 or 1/8

Step-by-step explanation:

That's your answer.....

1:8or1/8 bc that’s the answer

w÷9=9-8
what is the answer to this equation

Answers

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

w÷9 = 9-8

simplify 9-8

x÷9=1

multiply both sides by 9

x=9


At midnight, the outside temperature is 10 degrees Fahrenheit. By 4:00 A.M., the temperature is -2 degrees Fahrenheit. Show the equation to determine the
average change in temperature per hour.

Answers

Answer:

its a change of -3 per hour.

Step-by-step explanation:

I do not know the formula for the equation you speak of, but the change per hour is that it is going down by 3 every hour. 10-3=7-3=4

4-3=1

1-3= -2.

Shondra used four ounces of chocolate
chips to make two dozen cookies. At that
rate, how many ounces of chocolate chips
would she need to make five dozen cook-
ies?

Answers

Answer:

10 ounces

Step-by-step explanation:

2 ounces per dozen cookies

2*5=10

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

Answers

Answer:

(32,0) is the x intercept

Find the slope please hurry

Answers

Answer:

2

Step-by-step explanation:

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

4/7

Step-by-step explanation:

Tan= Opposite/Adjacent

Tan<f = 4/7

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]

= 18

And, the second length be

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

= 24

Learn more: https://brainly.com/question/14279491?referrer=searchResults

Help 10 points picture included

Answers

Connect the arrows with a straight line

Select the two values of x that are roots of this equation.
2x-5=-3x2

Answers

Answer:

Step-by-step explanation:

what’s the answer to this question

Answers

Step-by-step explanation:

I can't see the question. please resend picture

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 9, 6, ...

Answers

Answer:

geometric t2-t1

Step-by-step explanation:

divide the second term by the first to get the common ratio

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Step-by-step explanation:

Find the value of x in the equation below. 2(x - 8) = 24

Answers

Answer:

Step-by-step explanation:

2(x - 8) = 24

2x - 16 = 24

Bringing like terms on one side

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2x = 40

x = 40/ 2

x = 20

Type the expression that results from the following series of steps:
Start with x, times by 6, then add y.​

Answers

Answer: 6x+y

Step-by-step explanation:

Just convert the words into operations.

Have a nice day! :D

Which best describes the solutions to the inequality x> 102
10 and every whole number greater than 10
a rational number infinitely close to 10 but greater than 10, and all other rational numbers greater than 10
11 and every whole number greater than 11
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

Step-by-step explanation:

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

Question in picture

Answers

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

"I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides""I hope your pillow is hot on both sides"

What is the value of x

Answers

Answer:

56

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...

62+62+x=180

124+x=180

x=180-124

x=56

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