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


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1. What is the probability of flipping heads on a coin and rolling either a 2 or a 3 on a 6-sided
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Answer:

1/2 1/6 1/6

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Answer:

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Answers

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

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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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.

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y = 400(0) + 1000

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Answers

Answer:

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c║e

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Answer:

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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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Answer:

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Step-by-step explanation:

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≧◡≦

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

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

Answers

Answer

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Step-by-step explanation:

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According to the formula pi r squared, for a circle with a radius of one unit the area equals pi.
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Answer:

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Step-by-step explanation:

Formula used=2p*r

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

72%

Step-by-step explanation:

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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)

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O D. Associative Property of Addition
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Answers

Answer:

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Step-by-step explanation:

A.) Commutative Property of Addition.

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Answers

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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.

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Answers

Answer:

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Step-by-step explanation:

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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.  

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 |

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:

Hey I need some help :)

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.

However, if there is no change it would be just 0.

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

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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Answers

Answer:

628.298507463

Step-by-step explanation:

Answer:

628.298507463

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