properties of squares

If DE = 16x - 3, EF = 9x + 11, and DF = 52, find HG.​

Answers

Answer 1

*see attachement for diagram

Answer:

HG = 25.6

Step-by-step explanation:

Given:

DE = 16x - 3

EF = 9x + 11

DF = 52

Required:

HG

SOLUTION:

✔️First, find the value of x

Thus, since DE is congruent to EF, therefore:

16x - 3 = 9x + 11

Collect like terms

16x - 9x = 3 + 11

7x = 14

Divide both sides by 7

x = 2

✔️Find EH:

Since diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use pythagorean theorem to find EH

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

✔️Find HG:

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

Properties Of SquaresIf DE = 16x - 3, EF = 9x + 11, And DF = 52, Find HG.
Answer 2

The measure of HG is 25.6

Properties of a square.

For a square, all the sides of the square are equal

Given the following information

DE = 16x - 3EF = 9x + 11DF = 52,

 

First, find the value of x

Since DE is congruent to EF, therefore:  

16x - 3 = 9x + 11

Collect like terms  

16x - 9x = 3 + 11

7x = 14

 

x = 2

Find the measure of EH:

Since the diagonals of a rhombus are perpendicular, therefore ∆EHF is a right triangle.

Thus, we would use Pythagorean theorem to find EH  

EH² = EF² - HF²

EF = 9x + 11

Plug in the value of x  

EF = 9(2) + 11 = 18 + 11

EF = 29

HF = 52/2 = 26 (diagonals bisect each other)

EH² = 29² - 26² = 165

EH = √165

EH = 12.8 (nearest tenth)

Find the measure of HG:  

HG = 2(EH)  (diagonals bisect each other)

HG = 2(12.8)

HG = 25.6

Hence the measure of HG is 25.6

Learn more on squares here: https://brainly.com/question/24673551


Related Questions

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the answer is letter A

Answer: a

Step-by-step explanation: thanks for being my friend and sorry if im wrong

Write the number 7.4 x 10^5 in standard form.

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I think it’s 777 right?

An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?

2 18
s 12.8

Answers

Answer:

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Step-by-step explanation:

The triangle side rule says that the two smaller sides added together have to be bigger than the third side

14 7/10 x 14 7/10 what is the answer as a fraction?

Answers

Answer:

147/10 * 147/10 = 21609/100

Step-by-step explanation:

Answer:

[tex]\frac{21609}{100}[/tex]

Step-by-step explanation:

[tex]14\frac{7}{10} = \frac{147}{10}[/tex]  Re-write expression: [tex]\frac{147}{10}[/tex] × [tex]\frac{147}{10}[/tex]  [tex]\frac{147}{10}[/tex] × [tex]\frac{147}{10}[/tex] = [tex]\frac{21609}{100}[/tex]  

I hope this helps!

Is here something wrong with me?

I'm always hurting it doesn't seem like it is going to change people are always leaving when I need them the most im always crying. is this all there is? pain, suffering, and lonely ness. how much longer do I have to hurt like this? when are people going to actually stay in my life? when am i going to actually be happy? im tired of hurting and faking all the time. I'm loosing all hope

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There is nothing wrong with you. Everyone ad their ups and downs

This is a process that happens in most humans. most often happening to teenagers due to their increased hormones during their puberty.  I would recommend getting attached to music as a form of reliance. I too had my days when I would be depressed but I got through it by attaching myself to something rather than someone. people's actions in real life during this time can seem exaggerated to you so it would be best to just ignore people for now if you are sensitive and just listen to music, study, or read a book to take your mind off the stress. However, based on the current trends I would recommend you to get attached to this thing called Kpop. recently I conducted a survey and many people said they were happier watching stuff about pretty people rather than going out and socializing. you could attach yourself to a particular idol and "stan" them as it would keep your mind off people. however, this method although effective can lead you to become a brain dead fan who will waste money and become a loner I suggest that if taking this idol attachment approach that you go out and try to connect with new people or try to reunite with your old people too so that you don't lose touch with reality. And lastly, it could be just that this Current situation stress is weighing too heavily on you and you have mistaken it and you just need a period of rest to get your bearings back. I recommend you try a period of resting and self-indulgence, then if that doesn't work music, and if the music doesn't work then attach yourself to an idol. Don't give up and try something new

A customer at a Mexican diner placed an order for 3 burrito bowls which was priced at $x each. He also ordered a plate of corn tacos at $11 and was billed for a total of $32. Which equation represents the situation?

Answers

Answer:

x=$7

Step-by-step explanation:

The total cost of bill is $32, $11 is from a plate of corn tacos. And there are 3 purchased burrito bowls at a cost of $x each.

$32 (total bill)

-$11 (tacos)

=$21

$21 / 3 (burrito bowls)

=$7

x or the cost of each burrito bowl is $7

7 dollars!!!!!!!!!!!!!!!!!!

The equation Y-1=-7(x-3) is written in point-slope form. What is the y-intercept of the line?
-4
-2
20
22

Answers

The y-intercept would be 20 because -7(-3)=21-1=20

9514 1404 393

Answer:

  22

Step-by-step explanation:

Substitute 0 for x and solve for y.

  y -1 = -7(0 -3)

  y = 21 +1 . . . . . . add 1

  y = 22 . . . . . . . . the y-intercept

Which tool would be best to solve this problem?

Pythagorean Theorem

Triangle Angle Sum Theorem

Tangent Ratio

Sine Ratio

Cosine Ratio

Use that tool to solve for x. Show all work on the sketch
pad or on your paper.

Answers

Step-by-step explanation:

Cosine Ratio is the best tool to solve this problem.

cos38°=x/8

x =8*cos38°

x = 8*0.79

x = 6.32

ross had some stickers. He gave 297 of them to his sister.
if Ross gave 66% of the stickers to his sister, has may
shokers did he have​

Answers

Answer:

Ross has 450 stickers.

Step-by-step explanation:

Ross gave stickers to his sister = 297

If 66% of stickers Ross gave to his sister, how many stickers does Ross have?

Let Ross have stickers = x

So, we can write:

[tex]66\% of x = 297[/tex]

Now solving this equation and finding value of x

[tex]66\% of x = 297\\\frac{66}{100}\times x = 297\\x=297 \times \frac{100}{66}\\x=450[/tex]

We get x = 450. We know x= Number of stickers Ross has

So, Ross has 450 stickers.

Can someone tell me the answer plz

Answers

Answer:

43

Step-by-step explanation:

Add the right angle (90) and the angle 47 and you get 137. Then do 180-137= 43

Which expression is equivalent?

Answers

Answer: c 5 to fifth

Step-by-step explanation:

Hey there!

5^10 • 5^5

5^10 ⬇️

= 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5

= 25 • 25 • 25 • 25 • 25

= 625 • 625 • 25

= 390,625 • 25

= 9,765,625

5^5 ⬇️

= 5 • 5 • 5 • 5 • 5

= 25 • 25 • 5

= 625 • 5

= 3,125

9,765,625 • 3,125 = 30,517,578,125

Finding what is equivalent to: 30,517,578,125

Option A: 5^2 = 5 • 5 = 25 (CAN’T be the answer because it is TOO SMALL)

Option B: 5^5 = 5 • 5 • 5 • 5 • 5 = 3,125 (CAN’T be the answer because it is TOO SMALL)

Option C: 5^15 = 30,517,578,125 (CAN be the answer because it is equivalent to the given equation)

Option D: 5^50 (CAN’T be the answer because it is TOO BIG)

Answer: Option C. 5^15 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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Reflect the triangle over the y-axis and find the coordinates of its image.
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C(0,2) - C'

Answers

A(-4, -1)
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Answers

Answer:

3

Step-by-step explanation:

Remember the order of operations using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).  So, you get  18 - 6   / 5-1  = 12/4 = 3

Answer: 3

Step-by-step explanation:

Mrs. Darby would like to determine if the cafeteria should sell snacks during non-lunch periods. Which sampling
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Answers

Answer:

Set up like a sampling and voting station, people sample which snacks and vote on which should be sold :)

CLICK HERE
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The area is : _______

Answers

Answer:

Triangle

Solve for area

A=hbb

     2

Step-by-step explanation:

Hope this helps^v^

Answer:

mm..yea i dont kno

Step-by-step explanation:

Give two ways to write the algebraic expression p ÷ 29 in words.
the quotient of p and 29
p divided by 29

the quotient of 29 and p
29 divided by p

the product of p and 29
p times 29

p subtracted from 29
p less than 29

Answers

The two ways to write the algebraic expression is the quotient of p and 29 and or p divided by 29. Option A

What are algebraic expressions?

Algebraic expressions are expressions comprising of variables, terms, factors, coefficients, constants.

These expressions are also made up of arithmetic operations such as;

AdditionSubtractionMultiplicationDivisionBracket

From the information given, we have the expression as;

p ÷ 29

It is important to note that the sign for division is '÷' or '/’

Division is an arithmetic operation is also called quotient.

Now, we can say that;

p ÷ 29 is the quotient of p and 29 and or p divided by 29.

Thus, the two ways to write the algebraic expression is the quotient of p and 29 and or p divided by 29. Option A

Learn more about algebraic expressions here:

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Answers

Answer:

-3/4

Step-by-step explanation:

(-2,5) (10,-4)       <-y2-y1 / x2-x1  is the equation

 -4-5          -9           -9        

---------- = --------- =  -------- <-simplify this

10-(-2)      10+2         12

-9/3=-3

12/3=4

-3/4

Answer:

Option 3 (-3/4)

Step-by-step explanation:

To find the slope of a line, you find the change in y and divide it by the change in x:

5 - (-4)         9

---------   =   ------

-2 - 10         -12

If you simply 9/-12 (they both go into the number 3), you get -3/4

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Answers

Answer:

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Step-by-step explanation:

I plugged into desmos.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

x = 2y + 16

Step-by-step explanation:

     [tex]\frac{x}{2} - 8 = y[/tex]

[tex]\frac{x}{2} - 8 + 8 = y + 8[/tex]                   (adding 8 to both sides)

           [tex]\frac{x}{2} = y + 8[/tex]

         [tex]\frac{x * 2}{2} = (y + 8)*2[/tex]           (multiplying both sides by 2)

            [tex]x = 2y + 8 * 2[/tex]

            [tex]x = 2y + 16[/tex]

Happy to help :)

What is the answer from Sophia house to White House

Answers

i hope this helps!! i’m so sorry if i got it wrong

write an equation in slope-intercept form for this line.

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 4, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = [tex]\frac{3}{2}[/tex] x - 1 ← equation of line

7m+4m+8+6
I need help

Answers

The answer is 11m+14

Answer:

11m +14

Step-by-step explanation:

7m + 4m + 8 + 6

11m + 14

A seafood market sold shrimp for $10.50 per pound. Due to a seafood supply shortage the cost of shrimp increased to $12.60 per pound. What was the percentage of the price increase?

plslslsl help :')

Answers

$2.10 you just need to subtract 12.60-10.50 and you get 2.10

Brendan has six less than five times the number of pencils that Riley has. Let p represent the number of pencils Riley has. Write an algebraic expression that represents the number of pencils Brendan has in terms of p, the number of pencils that Riley has.

Answers

Answer: 5p - 6

Step-by-step explanation:

Brendan has six less than five times the number of pencils that Riley has.

P = the number of pencils Riley has.

The algebraic expression that represents the number of pencils Brendan has in terms of p, the number of pencils that Riley has would be:

= (5 × p) - 6

= 5p - 6

For example, if Riley has 5 pencils, the number of pencils that Brendan would have would be:

= 5p - 6.

= 5(5) - 6

= 25 - 6

= 19 pencils

What is the value of x?

Answers

THE ANSWER IS D 8 BECAUSE I DID THE MATH

The lengths of the sides of a triangle are given. State whether the triangle is obtuse, acute, or right.
12in, 10in, Sin

Answers

Answer: i think acute but im not positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

5²+10²=25+100=125

12²=144>125

so obtuse

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100 kids and 38 chose football

During a sale, a store offered a 30% discount on a particular camera that was
originally priced at $650. After the sale, the discounted price of the camera was
increased by 30%. What was the price of the camera after this increase?

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Answer:

Step-by-step explanation:

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Lisa has $6450 in her savings account. If the bank pays 3.7% interest per year on savings, how much interest does she earn in one year?

Answers

Interest = Principal × Rate × Time

100

=> 6450×3.7×1

100

=> $238.65

Hope it helps!

Answer: Interest = Principal × Rate × Time

100

=> 6450×3.7×1

100

=> $238.65

Step-by-step explanation:

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