In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?​

Answers

Answer 1

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

Answer 2

The length of FH is 38.

The calculation is as follows:

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x = 5

Here EG is 5x-6

and FH = 2EG

So,

FH = 2(5x-6)

=  10x - 12

Substitute x = 5

= 10(5) -12

= 50-12

= 38

Learn more: brainly.com/question/17429689


Related Questions

Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.

Answers

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

1/6 Gallons a day or .166


Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

What is the ordered pair for point B?

Answers

Answer:

(4,2)

Step-by-step explanation:

..................................

Jordan went shopping last weekend and bought a pair of shoes. The shoes were originally priced at $124.00, but are now on sale for 30% off the regular price. The sales tax is 7%.

What is the sales tax?

Answers

Answer:

8.68

Step-by-step explanation:

just multiply 124.00 times 0.07 and that's it

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Answers

Answer:

1090 miles

Step-by-step explanation:

50525 - 48345 = 2180 miles in the two weeks

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convert 1/15 into a decimal correct to 2 decimal places ​

Answers

Answer:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

[tex]\frac{1}{15} = 0.xx[/tex]

2) We multiply the numerator by 10 and find the tenth digit:

[tex]\frac{10}{15} = 0[/tex]

Then,

[tex]\frac{1}{15} = 0.0xx[/tex]

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.66x[/tex]

And the remainder is:

[tex]r = 100-15\times 6[/tex]

[tex]r = 10[/tex]

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

[tex]\frac{100}{15} = 6[/tex]

Then,

[tex]\frac{1}{15} = 0.666[/tex]

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

[tex]\frac{1}{15} = 0.\overline{66}[/tex]

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Answers

Answer:

C- C=0

Step-by-step explanation:

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Answers

Answer:

5 miles

Step-by-step explanation:

To answer this question, use the following:

According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:

[tex]a^2+b^2=c^2[/tex]

Thus plugging in 3 for a and 4 for b:

[tex]c^2 = 25[/tex]

[tex]c=5[/tex]

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Answers

Answer:

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Step-by-step explanation:

-2+6=4

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

A

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Answer:

y = 3x + 3

Step-by-step explanation:

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Answers

The answer is 13 by using Pythagorean theorem.

Maria paid $240 for a table set after a discount of 40%. What was the original price?

Answers

Answer:

The original price was 400 dollars.

Step-by-step explanation:

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Answers

Answer:

28%

Step-by-step explanation:

Given that,

The total no of runners = 25

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Answers

Answer:

the product of 5 and a number

Step-by-step explanation:

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PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

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Additional comment

Note that the first step could have been "divide by -2", which would result in the equation 5x+8 = -7 -3x. Subsequent steps would add 3x, subtract 8, and divide by 8, to give a result of x=-15/8. There is usually more than one way to work a math problem.

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Answers

This might help u
Gl

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What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

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Learn more about the proportion here:

brainly.com/question/1504221

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Answers

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Step-by-step explanation:

Directions
1.Make sure to put the question number next to each answer.
2. If you correctly fill out the questions you will be given a link to 50 points.
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Answers

So you want me to answer that entire page for you?

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Answers

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Answers

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