In the triangle below, we can solve to find GH = 16. Explain each
step you would do to solve for GH, and how you knew you could do
each step.
E
2x
Н.
F
3x - 8
G
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In The Triangle Below, We Can Solve To Find GH = 16. Explain Eachstep You Would Do To Solve For GH, And

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

HF is a perpendicular bisector of Δ EGH

Then Δ EGH is an isosceles triangle with 2 congruent sides GH and EH , so

GH = EH

3x - 8 = 2x ( subtract 2x from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

Then

GH = 3x - 8 = 3(8) - 8 = 24 - 8 = 16

Answer 2

Answer:

From diagram, FG = EF

Solving fo HF and FG by Pythagorean Theorem

HF² = (3x -8)²  -FG²

HF² = (2x)² -FG²

We can eliminate HF² and FG² from BOTH equations because they cancel out.

The 2 equations become (3x -8)² = (2x)²

9x² -48x +64 = 4x²

5x² -48x +64 = 0

Using Quadratic Formula

X1 = 8

X2 = 1.6

********************************************

2x = 16 AND 2x = 3.2

F is 90°

3x -8 = 16 AND 3x -8 = 2.8

Step-by-step explanation:


Related Questions

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

What is the solution to the equation √8x = √4+2x?

Answers

Answer and Step-by-step explanation:

The first step in solving for x is to square both sides.

8x = 4 + 2x

Now, subtract 2x from both sides.

6x = 4

Now, divide each side by 6.

x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]

x = [tex]\frac{2}3}[/tex] is the answer.

#teamtrees #PAW (Plant And Water)

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

The Unit Circle

What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)

a. 180°
b. 90°
c. 360°
d. 270°

Please select the best answer from the choices provided

Answers

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

The table below represents which equation ?

Answers

Answer:

D

Step-by-step explanation:

Find the slope by picking two ordered pairs in the table and using the slope formula( y2-y1/x2-x1) to get the slope. The smallest numbers are easiest to work with. (-1,1), (0,-2)

-2-1/0-(-1) = 3/0+1 = -3/1 = m=-3

Use one of the points you used and plug in the x and y values of the ordered pair into the equation with the slope to find your b( y-intercept). (0,-2)

-2= -3(0) +b

-2= 0+b

b=-2

The final equation will only have your slope and b( y-intercept). That should be your answer. Hope this helps!

Final Equation: y=-3x-2

An hour before show​ time, only 266 people are seated for a movie. . According to ticket​ sales, 93​% of the people have yet to arrive. How many tickets were sold for the movie

Answers

Answer:

3800 tickets

Step-by-step explanation:

we are given that,

total people seated:266

yet to come:93%

so the percentage of people who have arrived is 100%-93%=7%

and one ticket for each people

therefore,

[tex] \displaystyle \begin{array}{ccc} \displaystyle \rm7\% \quad \text{People} \implies266 \: \text{tickets} \\ \displaystyle100 \%\: \quad \imath \imath \implies \frac{266}{7\%} \: \: \: \: \imath \imath \\ \\ \qquad \displaystyle \qquad\rm as \: \% = \frac{1}{100} \longleftarrow \frac{266}{ \dfrac{7}{100} } \\ \\ \displaystyle \rm \: by \: simplifying \: complex \: fraction\longleftarrow 266 \times \frac{100}{7} \\ \rm reduce \: fraction \longleftarrow 38 \times 100 \\ \rm simplify \:multiplication \longleftarrow3800\end{array}[/tex]

hence,

3800 tickets were sold for the movie

Answer:

Solutions given:

[100%-97%]=266people

7% =266people

Each people is 1 ticket.

266 people =266tickets

so

7% of people=266ticket

100% of people =266/7×100=3800tickets

3800tickets were sold for the movie

Construction crews are building a highway between the towns of Washington and Jefferson. Currently the highway is 16.25 miles long. Each month the total length increases by 4.5 miles. Which equation can be used to find y, the total length of the highway in miles after x months?

Answers

Chuckinghchchdd underhand drop ribbon stucco Tio stain stucco during

Somebody Please help!!!

Answers

Answer:

176

Step-by-step explanation:

8+8+64+64+16+16

Use formulas to find area

Answers

120.08 u just had to multiply

Answer:

120.08

Step-by-step explanation:

15.8 x 7.6

-> 120.08 [tex]m^2\\[/tex]

What is the probability that I will roll a 4 on a standard number cube?

Answers

Answer:

the probability of rolling any single digit on a 6-sided fair cube is 1/6

To roll a 4 on a standard number cube is 1/6

If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number

Answers

Answer:

Step-by-step explanation:

x-4/4=x/6+1

x-4 =4/6x+4

x-2/3x =8

1/3x =8

x=24

Find the area of the shaded region in the drawing round to the nearest tenth show all work

Answers

Answer:

The area of the shaded region is:

488 ft^2.

Step-by-step explanation:

First, we're gonna find the area of the whole rectangle and next we can subtract the area of the triangles in the corners, we use the next formula:

Area of a rectangle = width * heigth

And we replace the measurements in the picture (32 ft and 16 ft):

Area of a rectangle = 16 ft * 32 ftArea of a rectangle = 512 ft^2

Now, we must calculate the area of a triangle, this can be made by this formula:

Area of a triangle = (base * height) / 2

We can replace the values we have in the picture (4 ft and 6 ft), then:

Area of a triangle = (4 ft * 6 ft) / 2Area of a triangle = (24 ft^2)/ 2Area of a triangle = 12 ft^2

As you can see in the picture, we have to subtract two triangles with the same measurements, by this reason, we multiply the area of the triangle by two and we'll obtain the area we must subtract:

Area to subtract = (12 ft^2) * 2Area to subtract = 24 ft^2

At last, we take the area of the whole rectangle and subtract the area of the triangles:

Area of the shaded region = 512 ft^2 - 24 ft^2Area of the shaded region = 488 ft^2

The area of the shaded region is 488 ft^2.

No links please 15 Points

Answers

Answer:

C

Step-by-step explanation:

what is the area of the object above​

Answers

The area would be 90cm
Explanation: To find area u multiple length times width, therefor 12x7 = 84 and 2x3 = 6
Then add it all together and it will equal 90cm

If there is a $50 profit on the large cabinets and a $30 profit on the small cabinets.
What number of large and small cabinets maximizes the objective function?
P = 50x + 30y
a) o large and 10 small
b) 8 large and small
c) 4 large and small
d) 4 large and 5 small

Answers

Answer: B

Step-by-step explanation: I hope I am good at math if not sorry

The combination of 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640. Option b is correct.

To maximize the objective function P = 50x + 30y, where x represents the number of large cabinets and y represents the number of small cabinets.

Need to determine the combination of x and y that results in the highest value for P.

For 0 large and 10 small:

P = 50(0) + 30(10)

= 0 + 300

= 300

For 8 large and 8 small:

P = 50(8) + 30(8)

= 400 + 240

= 640

For 4 large and 4 small:

P = 50(4) + 30(4)

= 200 + 120

= 320

For 4 large and 5 small:

P = 50(4) + 30(5)

= 200 + 150

= 350

Based on these calculations, 8 large cabinets and 8 small cabinets maximizes the objective function, resulting in a value of 640.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ4

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

i need assistance please

Answers

i got 22%! hope this helps

If the graph of y = - x ^ 2 translated horizontally 7 units to the right and translated vertically 6 units upwards, what’s the new equation?

Answers

9514 1404 393

Answer:

  y = -(x -7)² +6

Step-by-step explanation:

Replacing x with (x-h) translates the graph h units to the right. You want h=7.

Replacing f(x) with f(x)+k translates the graph k units upward. You want k=6.

These transformations make the new equation be ...

  y = -(x -7)² +6

Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?

Answers

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

• What is the difference? Complete the equation.
–30 – (-10) =
?

Answers

The answer to the question is -20

Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772​

Answers

Answer:

4f^2-11

Step-by-step explanation:

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t ) and the number of days (d ) Jamie has practiced?

Answers

Answer:

t = 45d

Step-by-step explanation:

Number of days = d

Number of minutes = t

Number of minutes per day = 45 minutes

Total number of minutes of practice after d number of days will be :

t = number of minutes per days * Number of days

t = 45 * d

t = 45d

geometry help pleaseeee

Answers

Answer: 11

Step-by-step explanation:

[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)

This gives that x = 11

Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?

Anything besides these would be appreciated:

1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head

Answers

Answer:

the future diary  

Step-by-step explanation:

I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!

Does someone need help with your math problems? I am using Gauthmath, ...https://s.tutorus.xyz/lp/invite?code=7JX9FQ​

Answers

Answer:

ok

Step-by-step explanation:

Liam has 60 seeds and 12 plastic cups, and will plant the same number of seeds in each cup. Whicl equation shows the number of seeds in each cup? es 4 60 - 5 도 A 1260 5-12​

Answers

Answer:

Number of seeds in each cup = 5 seeds in each cup

Step-by-step explanation:

Given:

Total number of seeds Liam has = 60 seed

Total number of plastics cup = 12 cups

Find:

Number of seeds in each cup

Computation:

Number of seeds in each cup = Total number of seeds Liam has / Total number of plastics cup

Number of seeds in each cup = 60 / 12

Number of seeds in each cup = 5 seeds in each cup

Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

what is 2+2 4+4 8+8 i need math help

Answers

Answer:

2+2 is 4 4+4 is 8 8+8 is 16

Step-by-step explanation:

if you need them added up here: 4+8 =12 12+16 = 28

HELP THANK YOU SM !!! ​

Answers

Answer:

Your answer is C

Step-by-step explanation:

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