Points S and T are midpoints of the sides of triangle FGH.

Triangle G H F is cut by line segment S T. Point S is the midpoint of side H G and point T is the midpoint of H F. The lengths of H T and T F are 6 centimeters. The lengths of H S and S G are 4 centimeters. The length of S T is 8 centimeters.

What is GF?

4 cm
6 cm
8 cm
16 cm

Answers

Answer 1

Answer: 16 cm

Step-by-step explanation:

By the triangle midsegment theorem, 2(ST)=2(8)=16=GF

Points S And T Are Midpoints Of The Sides Of Triangle FGH.Triangle G H F Is Cut By Line Segment S T.
Answer 2

The length of GF in the triangle illustrated will be 16cm.

How to compute the value?

From the information given, the lengths of HT and T F are 6 centimeters, the lengths of HS and SG are 4 centimeters, and the length of ST is 8 centimeters.

Therefore, the length of GF will be:

= 2 × ST

= 2 × 8

= 16 cm

Learn more about triangles on:

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Related Questions

Complete the ratio table

Answers

Answer:

110

Step-by-step explanation:

101-86=15

95+15=110

110-15=95

Answer:

110

Step-by-step explanation:

In this problem, you are adding 15 to each Input to get the Output. That is why I added 15 to 95 in order to get 110.

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
2, 5, 8, ...

Answers

3, 12, 48 ... =
3(4)^0, 3(4)^1, 3(4)^2 ... =
3(1), 3(4), 3(16) ....
3, 12, 48 ...

A point at (54, -27) is rotated 720° clockwise about the
origin. What are the new coordinates for the point?
a. (54,-27)
b. (-27, -54)
c. (-54, 27)
d. (27,54)

Answers

La respuesta para esa es B

what is the difference between 35.032 and 20.1

Answers

Answer:

35 is different from 20

Step-by-step explanation:

too easy for explanation

Answer:

The difference is 14.932

Step-by-step explanation:

In other words, it's asking you to subtract 20.1 from 35.032.

Hope that helps!

Factor completely 6x2 − 11x − 10. (6x 2)(x − 5) (6x − 2)(x 5) (3x 2)(2x − 5) (3x − 2)(2x 5).

Answers

Factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

The given expression is:

[tex]6x^2-11x-10[/tex]

What is a factor?

A factor is a number that divides another number leaving no remainder.

we can split the middle term as,

[tex]6x^2-15x +4x-10\\[/tex]

[tex]3x(2x-5)+2(2x-5)\\\\(2x-5) (3x+2)[/tex]

Therefore factors of the given expression are [tex](2x-5) ,(3x+2)[/tex]

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combine like terms 4(p+3)-8

Answers

man i  don't   know

Step-by-step explanation:

 i  hope  it's   like 20 ? i guess  it's  20

Answer:

4(p+1)

Step-by-step explanation:

The outside service area of a cereal box and printed with texts and pictures what is the surface area in square inches of a box that is 2 inches wide 7 inches long and 10 inches tall

Answers

The answer is 208square inches

Barry and his sister went to lunch at Applebee's. The total bill was $21.60 and they left a $3.40 tip. Approximately what percent of the total bill did they leave as a tip?​

Answers

Answer:

25.20

Step-by-step explanation:

Answer:

The answer is 0.7344

I'm not sure tho

The distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30°. the light forms a second-order bright band. how large is the path difference? 1047 nm 1571 nm 3142 nm 6284 nm

Answers

The path difference if the distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30° is 1.57 × 10⁻⁶ m.

What is constructive interference?

When the maxima of two waves add up (the two waves are in phase), the amplitude of the resultant wave equals the total of the separate amplitudes, this is known as constructive interference.

We know that for constructive interference, therefore, the formation of bright fringe through a diffraction grating is given by:

d sin θ = n λ

where d is the distance between slits, θ is the angle of diffraction, n is the order of fringe, and λ is the path difference.

As it is given that the distance between slits on a diffraction grating is 0.60 mm, and one of the angles of diffraction is 0.30°, therefore, the path difference can be written as,

[tex]\begin{aligned}\lambda &= \dfrac{(d sin \theta)}{ n} \\\\&=\dfrac{0.60 \times 10^{-3 }m) \times sin (0.30)}{2}\\\\ &= 1.57 \times 10^{-6}\rm\ m\end{aligned}[/tex]

Hence, the path difference is 1.57 × 10⁻⁶ m.

Learn more about Constructive interference:

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Please help me Asap thanks if you do!

Answers

Answer:

(A) 9

Step-by-step explanation:

Substitute 2 for X

[tex]7-(-2)=9[/tex]

5. Find the area.
What do I do

Answers

Answer:

508.68cm^2

Step-by-step explanation:

this is a semicircle, so first get the whole circle by s=

[tex]\pi \: r {}^{2} [/tex]

so it said you should plug in 3.14 for pi,

3.14×18^2=1017.36

and semicircle should be the half of it, which is 508.68 cm^2

Answer:

127.17 cm²

Step-by-step explanation:

The area of a circle of radius r is given the the formula below.

A = πr²

Since you have a semicircle, divide the area of a circle by 2.

A[semicircle] = πr²/2

A[semicircle] = 3.14 × (9 cm)² / 2 = 127.17 cm²

Answer: 127.17 cm²

You are correct. Remember to include the units. In this case, it is cm².

A circle is represented by the equation x2 + 8x + y2 – 12y = –29. Describe the algebraic technique(s) needed to rewrite the equation in standard form. Identify the center and radius of the circle. Show your work

Answers

The equation of the circle can be written in standard form and in a general form

The center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]

How to identify the radius and the center of the circle

The equation of the circle is given as:

[tex]x^2 + 8x + y^2 - 12y = -29[/tex]

Rewrite as:

[tex]x^2 + 8x + k - k + y^2 - 12y + k - k= -29[/tex]

Express k as the square of the half of the coefficients of x and y.

So, we have:

[tex]x^2 + 8x + (4)^2 - (4)^2 + y^2 - 12y + (6)^2 - (6)^2= -29[/tex]

Evaluate the exponents

[tex]x^2 + 8x + 16 - 16 + y^2 - 12y + 36 - 36 = -29[/tex]

Collect like terms

[tex]x^2 + 8x + 16 + y^2 - 12y + 36 = -29 + 16 + 36[/tex]

Express as perfect squares

[tex](x + 4)^2 + (y - 6)^2 = -29 + 16 + 36[/tex]

[tex](x + 4)^2 + (y - 6)^2 = 23[/tex]

The standard equation of a circle is:

[tex](x - a)^2 + (y - b)^2 + r^2[/tex]

Where:

Center = (a,b)

Radius = r

So, we have:

Center = (-4,6)

Radius = [tex]\sqrt{23[/tex]

Hence, the center of the circle is (-4,6) and the radius is [tex]\sqrt{23[/tex]

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Jameelah got 4 kilograms of candy. Since she didn’t want to eat it all, she decided to share it with her 4 friends. If the 5 of them share the 4 kilograms, how much will each of them have?
help me

Answers

Answer:

Each of them will have 0.8 kg of the candy.

Step-by-step explanation:

Don't have one sorry!

please help, this is due tomorrow

True or false. justify your answer.

if horse A is twice as far as horse B from the center of a merry-go-round, then horse A travels twice as fast as horse B​

Answers

Answer:

True

Step-by-step explanation:

Horse A travels twice the distance horse B travels.

It is because the distance, the circumference of circle, is the function of the radius. The circumference is directly proportional with the radius.

Since r₁ = 2r₂, the distance is:

C₁ = 2πr₁ = 4πr₂C₂ = 2πr₂

The time of travel is same so the difference is reflected in the speed.

The horse A has twice the speed of horse B.

please help me with that question​

Answers

Answer:

Step-by-step explanation:

at the end of;                Karabo                         John

1st hour                           80km                          0km(bcause he hasn't started)

2nd hour                       160 km                         100km

3rd hour                        240 km                         200km

4th hour                        300 km                         300km

now I'm not sure whether we should consider the time period after the starting time of karabo, or that of John (they have a gap of one hour u know..)

so, from the starting time of karabo, it takes 4 hours, and from the starting time of John it's 3hours. (Because John started 1 hour later)

Resolva a expressão: 6÷3+2•7

Answers

Step-by-step explanation:

What is the molar mass of an element?

the total number of particles in one gram of the element

the mass of 6.02 x 1023 representative particles of the element

the number of amus (atomic mass units) in 6.02 x 1023 moles of the element

1.0 gram divided by the atomic weight of the element

The answer is 16…
because 6 •|• 3 is 2 and 2•7 is 14 then add them together. 2+14=16

Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Answers

Answer:

[tex]-(x-y)^2[/tex]

Step-by-step explanation:

Original expression:

[tex]-x^2+2xy-y^2[/tex]

Factor out -1:

[tex]\implies -(x^2-2xy+y^2)[/tex]

Factor [tex]x^2-2xy+y^2[/tex]:

[tex]\implies -(x-y)(x-y)[/tex]

Apply exponent rule [tex]aa=a^2[/tex]:

[tex]\implies -(x-y)^2[/tex]

Determine the values of the requested variables

Answers

Answer:

y = 24

angle V = 67

as a 4 sided shape, the angles all have to add up to 360 degrees.

we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.

Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.

(x+95) = 120

   -95     -95

       x = 25

We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!

360 - 53 -120 - 120 = 67

Angle V is 67

Now to find y!

(2y+19)=67

     -19  -19

     2y = 48

     /2     /2

       y = 24

Eduardo is making a friendship bracelet with 6 different colors of thread. He uses 22 inches of each color. How many feet of thread does he use in all?

Answers

11 ft in all I believe

The sum of three consecutive even numbers is 144. Find the highest even number.( Take the lowest even number as 4x-2)​

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

The sum of 3 consecutive even number is 144The lowest even number as 4x - 2

To Find :-

We have to find the highest consecutive number.

Let's Begin :-

Here ,we have

The sum of three consecutive even numbers is 144[ Consecutive even numbers are the sequence of numbers that differ by 2 or that are divisible by 2 ]The lowest even number is 4x - 2

Let the three consecutive number be

(4x - 2) , 4x , ( 4x + 2)

According to the question,

[tex]\sf{ (4x - 2) + 4x + ( 4x + 2) = 144}[/tex]

[tex]\sf{ 4x - 2 + 4x + 4x + 2 = 144}[/tex]

[tex]\sf{ 8x - 2 + 4x + 2 = 144}[/tex]

[tex]\sf{ 12x = 144}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 144}{12}}}}[/tex]

[tex]\sf{ x = 12 }[/tex]

Thus, The value of x is 12

Therefore,

The three consecutive even numbers are

[tex]\sf{ 4x - 2 = 48 - 2 = 46 }[/tex][tex]\sf{ 4x = 48 }[/tex][tex]\sf{ 4x + 2 = 48 + 2 = 50 }[/tex]

Hence, The highest consecutive even number is 50 .

Explain how to describe the data on a histogram.

Answers

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the amount of data points that fall within a given range of values.

Answer:

 visual interpretation. of numerical data

Step-by-step explanation:

A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.

Somebody please help me with this please

Answers

Answer:

x = 52.2

Step-by-step explanation:

we have adjacent (56) and opposite (x) so we use tan (Toa = opposite/adjacent).

Set up like so:

tan 43 = x/56

x = 52.2208

x = 52.2

A gymnastics coach records the scores of a gymnast and develops the probability distribution below. what is the probability the gymnast scores a 9 or 9.5? probability distribution gymnastics score: x probability: p(x) 5 0.02 5.5 0.02 6 0.06 6.5 0.1 7 0.16 7.5 0.14 8 0.18 8.5 0.18 9 ? 9.5 0.02 0.02 0.04 0.12 0.14

Answers

The sum of all the probabilities must be one. Then the probability that the gymnast scores a 9 or 9.95 is 0.14.

What is a probability distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Researching on the internet, the probability of the gymnast getting each score is given by:

P(X = 5) = 0.02P(X = 5.5) = 0.02P(X = 6) = 0.06P(X = 6.5) = 0.1P(X = 7) = 0.16P(X = 7.5) = 0.14P(X = 8) = 0.18P(X = 8.5) = 0.18P(X = 9) = xP(X = 9.5) = 0.02

Considering that it is a distribution, the sum of all the probabilities must be one.

0.02 + 0.02 + 0.06 + 0.1 + 0.16 + 0.14 + 0.18 + 0.18 + x + 0.02 = 1

0.88 + x = 1

           x = 0.12

The probability that the gymnast scores a 9 or 9.95 will be

P(9 or 9.5) = (X = 9) + P(X = 9.5) = 0.12 + 0.02 = 0.14

More about the probability distribution link is given below.

https://brainly.com/question/795909

Answer: D

Step-by-step explanation:

trust me bro I got it right

An antique vase is worth £300 when I buy it, its value increases by 2% each year. How much will it be worth in 8 years time?

Answers

300 x 1.02^8 = 351.4978 = £351.50 after 8 years

Help ASAP I’ll give brainliest don’t answer of u do not know thank u Sm:)

Answers

the answer to the question is >
hopefully this helps!

For the same data, two differ models are graphed. Which model more closely matches the data?

Answers

Answer: A.

I would say that it would have to be A. because it seems like B has all of the dots a little higher than the line while on A they seem closer packed into the line.

Step-by-step explanation:

Which graph represents the solution set of the compound inequality?
−5
please help!!!

Answers

Answer:

the first

Step-by-step explanation:

it just is. Be smarter.

The hourly wage of some Toyota automobile assembly line workers is being increased annually by the same percentage

If their wage went from $6.80 to $10.19 in 7 years what is the doubling time?

(nearest year)

Answers

The doubling time of the hourly wage of the workers is an illustration of an exponential function that has a rate of 2

The doubling time of the wage is 4 years

How to determine the doubling time

A doubling function is represented as:

[tex]p = w \times 2^{\frac{x}{t}}[/tex]

Where:

p represents the final amount i.e. p = 10.19w represents the initial amount i.e. w = 6.80t represents the duration i.e. t = 7x represents the doubling time

So, we have:

[tex]10.19 = 6.80 \times 2^{\frac{x}{7}}[/tex]

Divide both sides by 6.80

[tex]1.50 = 2^{\frac{x}{7}}[/tex]

Take the logarithm of both sides

[tex]\log(1.50) = \log(2^{\frac{x}{7}})[/tex]

Apply the law of logarithm

[tex]\log(1.50) = \frac{x}{7}}\log(2)[/tex]

Multiply both sides by 7

[tex]7 \times \log(1.50) = x\log(2)[/tex]

Divide both sides by log(2)

[tex]x = 7 \times \log(1.50) \div \log(2)[/tex]

[tex]x = 4.09[/tex]

Approximate

[tex]x \approx 4[/tex]

Hence, the doubling time is 4 years

Read more about doubling time at:

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Students are making the scenery for a school play. They use a large piece of plywood
to represent the front of a house, with a semicircular window cut out. Now they need
to paint the plywood. Find the area that will be painted.

1. List the shapes that make up the front of the house. (2 points)

2. Describe your strategy for finding the area that needs to be painted. (2 points)

3. Find the area for f each shape. Use 3.14 for n (4 points)

4. What is the total area to be painted? (2 points)

Please help me find the answers and shiw your work step by srep for eac question to get to the answer please and ill guve brainlist and some points please answer quickly!!!


Answers

Answer:

57.72 in^2

Step-by-step explanation:

Question 1. Shapes are triangle, semi-circle, and rectangle.

Question 2.Find area of rectangle first. Then area of triangle and circle. Subtract area of triangle and circle. Then add the difference with the rectangles area.

Question 3.

Rectangle's area:48 in^2

Triangles area:8*4/2=  16 in^2

Circle Area: pi*r^2/2(since its a semi-circle)

3.14*2^2=3.14*4=12.56/2=6.28 in^2

Question 4.

16-6.28=9.72

9.72+48=57.72 in^2

how many holes does a t shirt have?​

Answers

Answer:

This shirt has 8 holes :)

Please mark as brainliest

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