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

Which number is a perfect square? 15 or 4

Answers

Answer:

4

Step-by-step explanation:

even numbers that is a multiple of 4 is a perfect square

Answer: 4 is perfect square.

Step-by-step explanation:

lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​

Answers

(tan(x) + cot(x)) / (tan(x) - cot(x)) = (tan²(x) + 1) / (tan²(x) - 1)

… = (sin²(x) + cos²(x)) / (sin²(x) - cos²(x))

… = -1/cos(2x)

Then as x approaches π/2, the limit is -1/cos(2•π/2) = -sec(π) = 1.

Max made $104 for 8 hours of work. at the same rate, how much would he make for 18 hours of work?

Answers

Answer:

$234

Step-by-step explanation:

i need to know the solution of 4(x+3)-4=81/2x+1

Answers

What does x stand for?

Answer:

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

[tex]x= -\frac{7+\sqrt{697}}{8}[/tex]

Step-by-step explanation:

4(x+3)-4 = 81/2x +1

Add 4 to both sides

4(x+3) = 81/2x +5

Multiply both sides by 2x (This removes the division from the second half)

8x(x+3) = 81 +10x

Simplify

[tex]8x^{2}[/tex]+24x = 81 +10x

Subtract 10x from both sides

[tex]8x^{2}[/tex] +14x = 81

Subract 81 from both sides

[tex]8x^{2}[/tex] +14x -81 = 0

Solve using the quadratic formula

[tex]x= \frac{-b (+-) \sqrt{b^{2} -4ac}}{2a}[/tex]

a= 8, b= 14, c= -81

[tex]x = \frac{-14 (+-) \sqrt{14^{2} -4 *8(-81)} }{2*8}[/tex]  

Simplify

[tex]\sqrt{14^{2} -4 *8(-81)} = 2\sqrt{967}[/tex]

[tex]\frac{-14 (+-) 2\sqrt{967}}{2*8}[/tex]

Simplified Solution

[tex]x= \frac{-7+\sqrt{697}}{8}[/tex]

And

[tex]x=- \frac{7+\sqrt{697}}{8}[/tex]

I know this is confusing but I hope it helps. Keep in mind that (+-) means plus or minus. You might also look up what the quadratic formula is if you are not already familiar with it.  

84192÷67÷2?por favor no tengo ni idea

Answers

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

brainliest? XD

1. What is the probability of flipping heads on a coin and rolling either a 2 or a 3 on a 6-sided
number cube?
HELP PLS HURRY!!

Answers

Answer:

1/2 1/6 1/6

Step-by-step explanation:

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Answers

Answer:

No, zack will finish first.

Step-by-step explanation:

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please helppp
(literally posting my entire math lesson)

Answers

Answer:

B

Step-by-step explanation:

Point B is located 6.5 tenths left of -8.

Answer:

Point B

Step-by-step explanation:

If you count 5 steps backward from -8, you land in the direct middle of -9 and -8. You can also count 5 steps forward from -9, but it doesn't change that the number represented is -8.5. Now focus on the distance from -8.5 to -9 (because between that distance are the points that we might be using). You repeat the same process used above, so if you half the distance between -8.5 and -9 then you'll get -8.75. As we can see, Point A is the closest to -8.75 compared to Point B. It wouldn't make sense to choose Point B because as we mentioned before, Point A is now most certainly not -8.65. Point B represents that number the best.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

Which lines are parallel? Check all that apply.

Lines b, c, d, e, f are cut by transversal a. Clockwise from top left, the angles formed by lines b and a are blank, 89.5 degrees, blank, blank; by lines c and a are blank, blank, blank, 91.5 degrees; by lines d and a are blank, blank, 89.5 degrees, blank; by lines e and a are 88.5 degrees, blank, blank, blank; by lines f and a are blank, blank, 90.5 degrees, blank.
b is parallel to f
b is parallel to d
c is parallel to e
c is parallel to d
d is parallel to f
e is parallel to f

Answers

Answer:

I think it's A and C

b║f

c║e

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

A and c are correct because i just took the test

Step-by-step explanation:

50 points the question is in the picture.

Answers

Answer:

Every minute the coffee cooled down 2 degrees F every minute  

Step-by-step explanation:

so i took 2 to see how many times it went into 22 then i took 54 and went 2 degrees for each minute.

Answer:

-2.4°F

Step-by-step explanation:

Temperature change is:

- 54°F over 22 1/2 minutes

Rate of change in a minute:

-54 / 22 1/2 = -54 / 45/2 =-108/45 =-2 18/45 =-2 2/5 =-2.4°F

PLEASE HELP! I WILL GIVE BRAINLIEST!
According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
For a circle with a radius of two units the area equals four pi. Ans = 16 pi units squared
For a circle with a radius of three units the area is nine pi.
A = 25 pi units squared, 36 pi units squared, 49 pi units squared... to 100 pi units squared.

So try this... given the formula for circumference of a circle C = pi * d or C = 2 p* r

What are the circumferences for these circles....
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Answers

Answer:

2pi, 4pi, 6pi, 8pi, 10pi, 12pi, 14pi, 16pi, 18pi, 20pi

Step-by-step explanation:

Formula used=2p*r

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Answers

Answer:

155

Step-by-step explanation:

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Ghjhbhjvbyvyybybtvtvtctvgbybybu 52.7

How do the values compare? Order the values from least to greatest. -1 1/4 , |-1 3/4-| , 3/4 , -2 1/4 , |1 1/4-| , and |-2 1/4| ​

Answers

Answer:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Step-by-step explanation:

Given the numbers:

[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]

To find:

The ascending order of the given numbers.

Solution:

First of all, let us have a look at the definition of absolute value function i.e. Modulus function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

i.e. if the numbers is negative, then a negative sign is added to make the number positive.

Now, let us have a look at the given numbers with modulus one by one.

[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]

Smallest numbers are with negative signs.

And negative numbers with larger magnitude are smaller.

Therefore, the ascending order will be:

[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]

Answer:

Step-by-step explanation:

- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |

What are sets and how can they be represented ?

Answers

A set is usually denoted by a capital letter, such as A, B, or C. A set may be described by listing all of its elements enclosed in braces.

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If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?

Answers

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

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Can someone please tell me the answers for this question

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Answer:

203.5

Step-by-step explanation:

Please mark brainliest.

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

N o ?

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Answer:

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Would the phrase
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Answers

Answer:

Net change means the differnce between the before result and the after result. You would subtract the numbers, but if you have a gain(the before result smaller than after result) you would do its absolute value. If it's a loss(the before result bigger than after result) you would put a negative behind its absolute value.

e.g. if 2019 had $1 net worth and 2020 had $2 net worth, since 2>1 it would be |2-1| = 1. If 2019 had $2 net worth and 2020 had $1 net worth, since 1<2 there would be a - |2-1| = -1 net change.

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this is important please help I will give brainiest​

Answers

d. Bobby drew a diagram that’s not a function.

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can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more

Answers

Answer: B.

Step-by-step explanation:

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hope this was helpfulllllllllllllllllllllllllllllllllll

On a test of 25 items, 18 were answered correctly. What percent were answered correctly?

Answers

Answer:

72%

Step-by-step explanation:

18*4=72%

4) 16 + 7 + 9 = 7 + 9 + 16 *
A. Commutative Property of Addition
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Answers

Answer:

a.) Commutative Property of addition

Step-by-step explanation:

A.) Commutative Property of Addition.

Factor completely 2x2 - 6x - 56.

Answers

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

Find m2H.
E
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B. 162°
C. 89°
D. 99°

Answers

The answer is freaking D . All you gotta do is subtract 180 and 81 and you’ll get 99 degrees

Does anyone know how to do this?? I don’t understand. I need help please ASAP! Tysm

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17. 30

19. 58

21. 55

23. 23

I need help on this question

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Answer:

7:8

Step-by-step explanation:

Solve: 0.3 + d = 7.1 d = _____

Answers

Answer:

d= 3/61

Step-by-step explanation:

Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?

Answers

Answer:

x=-5/2

Step-by-step explanation

y=0

0=400x=1000 divide both sides

x=-5/2

Answer:

The Answer is D: Starting amount in his savings account

Step-by-step explanation:

The y-intercept represents the starting amount in his savings account.

x = 0 for the y-intercept.

y = 400x + 1000

y = 400(0) + 1000

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A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine
What is the weight of a patient who requires 200 milligrams of medicine?

Answers

Answer:

228.571428 or estimate it down

Step-by-step explanation:

136 ÷ 119 = 1.14285714

1.14285714 x 200 = 228.571428

The weight of the patient who required 200 mg of medicine is 175 pounds.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

Amount of medicine = Patient's body weight.

136 mg = 119 pounds

Multiply 200/136 on both sides.

200 mg = 200/136 x 119 pounds

200 mg = 175 pounds

Thus,

The weight of the patient who required 200 mg of medicine is 175 pounds.

Learn more about equations here:

https://brainly.com/question/17194269

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