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

25 points! pls show work if can!!!!!!!!

Answers

Answer:

A.2.4 pounds

B.7 oranges

Step-by-step explanation:

A track team has 25 runners. There are 18 boys on the team. What percent of the track team are girls? *

Answers

Answer:

28%

Step-by-step explanation:

Given that,

The total no of runners = 25

No. of boys in the team = 18

We need to find the percent of the track team are girls.

Total no of girls = 25-18 = 7

Percent of girls :

[tex]g=\dfrac{\text{No. of girls}}{\text{Total runners}}\times 100\\\\=\dfrac{7}{25}\times 100\\\\=28\%[/tex]

Hence, there are 28% of girls.

Ana Sofia performed a transformation on APQR. She
recorded her transformation and the location of Q' in the
table. Point Q of APQR is located at (-2,3). Complete the
table to determine the values of a and b that make the
algebraic descriptions of her transformation true.

Answers

Answer:

a= 6 b=4

Step-by-step explanation:

-2+6=4

3+4+7

Latoya made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $8.40. If the beads cost $2.70 for each necklace, how much did each ppendant cost

I'll give brainiest if correct :)

Answers

Answer:

its 2.60 for each pendent

Simplify each expression by combining like terms.
7a - 6 + 8a ​

Answers

=7a - 6 + 8

=7a + 8a - 6 =15a - 6

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:

400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.

I need help with this assignment problem, pls help ;-;

Answers

Answer:

1090 miles

Step-by-step explanation:

50525 - 48345 = 2180 miles in the two weeks

2180/2 (to find out how many miles in 1 week) = 1090

1090 miles per week

50525- 48345= 2180 divided by 2 equals 1090

2x + 6 = 8
can someone tell me dis​

Answers

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

Find the equation of the line y=___x+___

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

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

Y=3x+3/1 should be right

Choose the correct solution for this equation X/2-12 = 24

Answers

Answer:

[tex]x=72[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} -12=24[/tex]

[tex]x-24=48[/tex] (multiply [tex]2[/tex] on both sides)

[tex]x=72[/tex]

Hope this helps :)

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

Find the missing quantity in the double number line.

Answers

This might help u
Gl

The missing quantity is 100 books in the double number line.

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.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

6. Solve the equation: (c+3)−2c−(1−3c) = 2



a. c=−1 b. c=1 c. c=0 d. c=4

Answers

Answer:

C- C=0

Step-by-step explanation:

A dog lost 2 pounds three weeks in a row. What integer expresses the total change in the dogs weight

Answers

Answer:

-6 is the integer

Step-by-step explanation:

Compare and contrast linear and non linear scatter plots

Answers

Answer:

non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together

What is the approximate circumference of a circle with the diameter of 9

Answers

Answer:

9pi

Step-by-step explanation:

circumference is 2(pi)(r) or diameter(pi)

A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?

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]

where does the line cross in the equation y=2x=12

Answers

If you mean y=2x+12 then the line crosses at positive 12

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

What is the answer for this

Answers

Answer:

the product of 5 and a number

Step-by-step explanation:

product is the result of a multiplication problem

5c is the same as 5 times c

we don’t write an x (5xc) because x is sometimes used as a “placeholder” instead of c

Given that 9=110 8=70 an p is parallel to q did I fill this out right?

Answers

Answer:

yes i think so it looks quite accurate

Answer:

This does look like the right answer. I think you filled it out right

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is

Answers

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

Which equation is equivalent to the equation 6x + 9=12

Answers

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

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]

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.
3. If you incorrectly answer the question (put random numbers or letters) I will report you.
( You will be messaged through inbox so be sure to add your email in the answer)
Also you will be sent the link within 5 mins of the time you answered the question.

Answers

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

Okay

What is the ordered pair for point B?

Answers

Answer:

(4,2)

Step-by-step explanation:

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

Find the length of AN A has coordinates (-4,-7), and N has coordinates (1,5)

Answers

The answer is 13 by using Pythagorean theorem.

What is i^34?

A. -1
B. i
C. -i
D. 1

Answers

Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

PLEASE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

9514 1404 393

Answer:

distributesubtractadddivide by

Step-by-step explanation:

  [tex]\begin{array}{rccl}&-2(5x+8)=14+6x\\\text{Step 1:}&-10x-16=14+6x&\text{distribute}&\text{-2 to $5x$ and 8.}\\\text{Step 2:}&-16x-16=14&\text{subtract}&6x\\\text{Step 3:}&-16x=30&\text{add}&16\\\text{Step 4:}&x=\dfrac{30}{-16}&\text{divide by}&-16\end{array}[/tex]

At each step after the first, we use one of the properties of equality to simplify the equation. In the first step, we use the distributive property to eliminate parentheses.

_____

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.

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

Other Questions
I need help with the question in the attached image. Mrs. Nelson deposits $2,500 in an account that earns 5% simple interest. How much is Mrs. Nelson's investment worth after 20 years ? A:2500B:5000C:4500 Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?$13$60$70$73 (8.03 LC)Aaron collects 54 rocks at the beach. He wants to give an equal number of rocks to 6 ofhis friends. How many rocks did each of Aaron's friends get?If r represents the number of rocks each friend will get, which equation could be used tosolve the problem? If point C lies between two points A and B such that AC=BC, then 1. A book is at rest on a tabletop. Diagram the forces acting on the book. An axe used to split wood is driven into a piece of wood for an input distance of 0.05m. If the mechanicaladvantage of the axe is 0.85, how far apart (output distance) is the wood split? pls help me with this Because of gravity, your weighton the MoonA. would be the same as it is on EarthB. would be less than your weight on EarthC. would be more than your weight on EarthD. and your mass would be less than it is on Earth PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!! which is equivalent to 3/8 when denominator is "rationalized"? IGNORE THE SUBJECT, JUST HELP MEIn a laissez-faire economy, government involvement is __________.A.encouragedB.limitedC.necessaryD.nonexistentPlease select the best answer from the choices providedABCD Write the first five terms in the arithmetic sequence. f(n + 1) = f(n) 19, f(1) = 34 Which statement describes the BEST business strategy for becoming a successful entrepreneur? A.An entrepreneur must understand customers behaviors to be successfulB.An entrepreneur must focus on customers wants to build a profit-oriented business.C.An entrepreneur must give in consumer demands to attract the interests of investorsD.An entrepreneur must negotiate customer complaints to maintain the reputation of the business. let me ask this again can someone help asap!? will try to give brainliest!!! (not all of the above) What is the GCF of the expression -x2y22 - xy2z? Which of the following is true?O Literary nonfiction entertains and informs.O Literary nonfiction is not about a writer's personal experience.O Literary nonfiction only entertains.o Literary nonfiction is about imaginary events. A spinner has five sections ( a,b,c,d,e,) the spinner is spun 84 times what is the experimental property landing on a round to the nearest percent Deciding you need to get a good job because that is what smart people do, reflects intrinsic motivation. Please select the best answer from the choices provided T F Skills USA offers the opportunity to practice information technology skills.True or False