Assume the figure below is a rhombus:
If DE=16x-3, EF=9x+11, and DF=52, find HG



Assume The Figure Below Is A Rhombus:If DE=16x-3, EF=9x+11, And DF=52, Find HG

Answers

Answer 1

9514 1404 393

Answer:

  HG = √165 ≈ 12.8

Step-by-step explanation:

All sides of the rhombus are the same length, so ...

  DE = EF

  16x -3 = 9x +11

  7x = 14

  x = 2

  DE = 16(2) -3 = 29

Because the diagonals bisect each other, we have ...

  HF = DF/2 = 52/2 = 26

We know side GF is 29, so ...

  HG² + HF² = GF²

  HG² = GF² -HF² = 29² -26² = 165

  HG = √165 ≈ 12.8 . . . . rounded to tenths


Related Questions

A new car depreciates 11% per year. if the new car is worth 23,882 today how much will it worth in 4 years

Answers

Answer:

Well..

Step-by-step explanation:

Do 23,882 by 11, then do the answer of that problem divided by 11 and so on

A bus company has sold 416 tickets to take people to a concert.

Each bus has 52 seats.

How many buses are needed?


PLZZ HELP, I HATE MATHS WITH A PASSION!!!!

Answers

Answer:

8

Step-by-step explanation:

416/52 = 8

A pound of pistachios cost $16.64. What is the unit rate per ounce? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK!!)
A. 52.90
B. 1.04
C. 12.84
D. 458
E. 5x-8y+7
F. 25.30

Answers

Answer:

a

Step-by-step explanation:

9. LMNO is a rectangle. If LM = 16, MN = 12, and mZ1 = 53°, find the following:

Answers

Step-by-step explanation:

your question is in

complete

Jaida made a playlist that is 73.68 minutes long. That is 11.39 minutes longer than the last playlist she made. What was the length of Jaida's prior playlist?

Answers

Answer:

85.07

Step-by-step explanation:

you would do 73.68 + 11.39 cause it said longer than that one and just do it on your calculator and you get 85.07

hope this help :)

Answer:

62.29

Step-by-step explanation:

Just subtract 11.39 from 73.68

anyone know the answer to this? please help❤️❤️

Answers

Answer:

1, -1

Step-by-step explanation:

[character limit thing]

What is Dababy the artist real name ?

Answers

Answer:

Dominique Armani Jones

Answer:

Jonathan Lyndale Kirk is Dababy the artist real name.

Thnx for the points and May God bless you ❤

What is the distance between (-6,4) and (-6,-7)

Answers

Pretty sure the distance between them is 11 correct me if I’m wrong

Given f(x) = x - 3), what is the
value of t(18)?

Answers

Answer:

f(x)=15

Step-by-step explanation:

f(x)=18-3

    =15

The graph below shows the solution to which system of inequalities?

Answers

D is the answer to the problem

Apply the distributive property to factor out the greatest common factor.
35 + 50 =
ILL MARK BRANLIEST

Answers

Answer:

85

Step-by-step explanation:

basically you throw away the whole equation and are left with the equal sign.

Now the equal sign is equal to every thing and anything.

So you could most likely say 2=3 and break the laws of time and matter itself.

I wouldn't try this at home since you'll most likely create a black whole the size of Wisconsin and destroy the world as we know it.

Anyways uh yeah 85

What is 23x92? Give brainliest.

Answers

Answer:

2116

Step-by-step explanation:

multiplication!

Rodrigo practiced playing the guitar 16 1/3
hours over the past 3 weeks. He practiced for 5 1/4
hours during the first week and 5
2
3
hours during the second week.

How much time did Rodrigo spend practicing duri
ng the third week? Use the numbers and symbols to select the equation that represents the problem. Then solve the equation. Symbols may be used more than once or not at all.

Answers

Answer:

[tex]27\frac{1}{4}[/tex]

Step-by-step explanation:

You can first add the whole numbers together-

16+5+5 = 16+10= 26

Next, we can find a common denominator for all the fractions

since one of the denominators is 3 and the other one is 4, we can multiply them to get 12.

Now, we can change all the denominators to 12 and multiply as needed

[tex]16 \frac{1}{3} = 16 \frac{4}{12}\[/tex]

[tex]5\frac{1}{4} =5\frac{3}{12}[/tex]

[tex]5\frac{2}{3} = 5\frac{8}{12}[/tex]

Finally, we can add up the fractions

[tex]\frac{4}{12}+ \frac{3}{12} +\frac{8}{12} = \frac{15}{12} = 1\frac{3}{12} = 1\frac{1}{4}[/tex]

Now we can add the whole number total with the fraction total

[tex]26+1\frac{1}{4}[/tex][tex]= 27\frac{1}{4}[/tex]

So, our answer is [tex]27\frac{1}{4}[/tex]

Hope this helps!!!

Let me know in the comments if I should change anything or if the answer was perfect!!!

I wasn't able to select any equations because I didn't know which equations there were. :)

Enter the number of tens and ones in the chart for 61+14=75

Answers

Your answer is 60+1+10+4=75

Allison earns $7.25 per hour waiting tables at Red Robin. Last weekend she also earned $200 in tips. How many hours must she work if she wants to make at least $300?
Show your work please!

Answers

Answer:

12 hours

Step-by-step explanation:

she mush work 12 hours

Which is equivalent to the expression x 1/2

Answers

Answer: x/2

Step-by-step explanation:

Combine x and 1/2

The expression (1/2)x is equivalent to the expression 0.5x. Then the correct option is A.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The expression is given below.

⇒ (1/2)x

Simplify the expression, then we have

⇒ (1/2)x

⇒ 0.5x

The expression (1/2)x is equivalent to the expression 0.5x. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ2

The missing options are given below.

A. 0.5x

B. 0.05x

C. 0.2x

D. 0.02x

solve the questions below

Answers

Answer:

4. 50.19°

5. 25.19°

Step-by-step explanation:

4. Reference angle = x°

Opposite = 6 units

Adjacent = 5 units

Thus,

[tex] tan(x) = \frac{6}{5} [/tex]

[tex] tan(x) = 1.2 [/tex]

[tex] x = tan^{-1}(1.2) [/tex]

[tex] x = 50.19 [/tex] (nearest hundredth)

5. Reference angle = x°

Opposite = 48 - 5.2 = 42.8 ft

Adjacent = 91 ft

Thus,

[tex] tan(x) = \frac{42.8}{91} [/tex]

[tex] tan(x) = 0.47032967 [/tex]

[tex] x = tan^{-1}(0.47032967) [/tex]

[tex] x = 25.19 [/tex] (nearest hundredth)b

Triangle ABC is congruent to triangle XYZ, as shown below.

Which of the following statements must be true?
(PLEASE HELP IF YOU CAN I WILL GIVE YOU 10 POINTS.)

Answers

Answer:

the first answer

Step-by-step explanation:

if a and x are the same and a has an angle of 45 degrees that means that x has an angle of 45 degrees

The required condition that must be true is,
(a) ∠x = 45°
(c) YZ = 3 cm

What is congruent geometry?

Incongruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
For the given triangle to be congruent,
Each pair of corresponding angles and sides must be equal,
So,
(a) ∠x = 45°

When applying the cosine formula,
we get,
(c) YZ = 3 cm

Thus, the required condition that must be required to be to make the triangle congruent are,
(a) ∠x = 45°
(c) YZ = 3 cm

Learn more about congruent geometry here. https://brainly.com/question/12413243

#SPJ2


1 1/4 gallons fill 5/6 of a bucket. how many gallons will it take to fill the entire bucket?

Answers

It will take one and a half gallons to fill a bucket of 6/6

Help ASAP and explain why!!!

Answers

Answer:

c. Side-Angle-Side

Step-by-step explanation:

Two sides (AB and AC) and an included angle (<BAC) in triangle ∆ABC are congruent to two corresponding sides (AD and AC) and an included corresponding angle (<DAC) in ∆ADC.

Therefore, by the SAS Congruence Theorem, both triangles are congruent.

(11 - 8)3 – 2 x 6
What is the answer

Answers

Answer:

15

Step-by-step explanation:

1. Angle g and angle h are:
b
a
C
d
f f
8
h
vertical
complementary
congruent
adjacent

Answers

I need to see the picture so I can answer

Jennifer spent $100 at the mall, during tax free weekend.

She purchased a pair of jeans for $55. She bought (2) t-shirts for $20. Jennifer paid $25 for a new cell-phone case.

Answers

Answer:

A.75%

Step-by-step explanation:

55+20=75 and the other percentage is 25

Laura’s dog eats 1 bag of dog food every 6 days. About how many bags will her dog eat in 1 year? About how many will Laura’s dog eat in 10years

Answers

Answer:

609 bags

Step-by-step explanation:

( times 60.83333 )1 bag of dog food : 6 days   (365/6=60.833333)

        60.83333 bags=                     365 days ( 1 year)

         608.3333 bags                                                   10 years

you need to round it up because you cannot  have a half part of a bag.

609 bags

please mark it as brainliest!!

The number of bags that will be eaten in 1 year and 10 years respectively will be 61 bags and 608 bags.

From the information given, Laura’s dog eats 1 bag of dog food every 6 days. The number of bags that her dog will eat in 1 year will be:

= 365/6

= 60.8 = 61 bags.

Therefore, the number of bags that will be eaten in 10 years will be:

= 60.8 × 10 = 608 bags.

Learn more about division on:

https://brainly.com/question/25770607

can you help me with all of them? like just tell me the answer please​

Answers

Answer:

1: b, d

2: c

3: b, c, d

Step-by-step explanation:

Hshsgdhdhbdbdhdydh

Consider the sequence:

89, 82, 75, 68, ...

What is the 12th term in the sequence?

A. 4
B. 8
C. 12
D. 20

Answers

Answer:

ans 12

Step-by-step explanation:

first term(a)=89

common difference(d)=7

we know,

tn=a+(n-1)d

t12=89+(12-1)(-7)

t12=89+11*(-7)

t12=89-77

t12=12

can you help me i have only one day

Answers

Answer:

n = -1.825

Step-by-step explanation:

8n + 16.2 = 1.6 (Given)

8n = -14.6 (Subtract 16.2 on both sides)

n = -1.825 (Divide 8 on both sides)

Step-by-step explanation:

Move all terms not containing  

n

to the right side of the equation.

Tap for fewer steps...

Subtract  

16.2

from both sides of the equation.

8

n

=

1.6

16.2

Subtract  

16.2

from  

1.6

.

8

n

=

14.6

Divide each term by  

8

and simplify.

Tap for fewer steps...

Divide each term in  

8

n

=

14.6

by  

8

.

8

n

8

=

14.6

8

Cancel the common factor of  

8

.

Tap for more steps...

n

=

14.6

8

Divide  

14.6

by  

8

.

n

=

1.825

Which equations support the fact that rational numbers are closed under addition?
Select each correct answer.
+0.5 = 1
3/16 +3/16 = 6/16
35+ 5 = 415
V10 + (-V10) = 0

Answers

Answer:

3/16+3/16=6/16

Step-by-step explanation:

HOPE ITS HELP YOU

someone please do this and explain in detail of how you get x.

Answers

Answer:

x=8

AC=148

Step-by-step explanation:

Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC

Knowing that AB=BC, we can sub the values given by the question:

AB = BC

9x+2 = 5x+34

9x-5x = 34-2

4x = 32

x = 8

Now that we know the value of x, we can find AC, since AC=AB+BC

AC = AB + BC

= 9x+2 + 5x+34

= 14x+36

= 14(8)+36

=112+36

=148

Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84

Answers

Answer:

$14.31

Step-by-step explanation:

i used math

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