Point G is on line segment F H ‾ FH . Given F G = 5 x + 2 , FG=5x+2, G H = 3 x − 1 , GH=3x−1, and F H = 9 , FH=9, determine the numerical length of F G ‾ . FG .

Answers

Answer 1

Answer:

FG = 7

Step-by-step explanation:

From the question, we are given:

FG=5x+2, GH=3x−1, and F H = 9

FG + GH = FH

5x + 2 + 3x - 1 = 9

5x + 3x + 2 - 1 = 9

8x + 1 = 9

8x = 9 - 1

8x = 8

x = 8/8

x =1

We are determining the numerical length of FG

FG= 5x + 2

FG = 5(1) + 2

FG = 5 + 2

FG = 7


Related Questions

The following is the correct way to show the product for 0.297×7.1:

Answers

the answer is 2.1087

Answer:

2.1087

Step-by-step explanation:

0.297

7.1 +

2.1087

Given h(x) = 5x + 3. what is the value of h(-11)

Answers

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

Question:
7x^2 + 8x = x^2

Answers

Answer:

x1= -4/3 and x2= 0

Step-by-step explanation:

That answer is correct

The function h is defined by h(x)= 2x^2+3. find h (3z).

Answers

h(3z) = 2(3z)^2 + 3 = 18z^2 + 3

h(3z) is equal to 18z² + 3

To find h(3z), we substitute 3z into the function h(x). This means we replace x with 3z in the expression for h(x).

h(3z) = 2(3z)² + 3

Simplifying this expression, we have:

h(3z) = 2(9z²) + 3

h(3z) = 18z² + 3

So, h(3z) is equal to 18z² + 3. This means that if we input any value of z into the expression, the function h will output the corresponding value by evaluating 18z² + 3.

The function h(3z) represents a quadratic expression in terms of z, where the coefficient of z² is 18 and there is a constant term of 3 added to the result.

Learn more about function here

https://brainly.com/question/33615657

#SPJ2

Which equation matches the graph

Answers

Answer:

C

Step-by-step explanation:

the slope is -4 and the y-intercept is -1

hope this helps :3

I think the answer is C

Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)

Answers

I’m gonna try to help you. So in the graph the line on the x intercept is between 100 and 150. Meaning it is at 125. The Y intercept line is marked at 275.

Therefore the answer should be
x-intercept: (125, 0)
y-intercept: (0, 275)

PLS HELP MARKING BRAINLY ASAP!!!!!!!!!!!!!!!!!!

Answers

first you would have to go on the right side of the X axis and put a point on 2 and go up 3 and place a point there.

next you can do the same thing but got the the left side of the X axis and that will be the negative side of the numbers.

Try it
Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?

Answers

Answer:

x=6/5 ,y= -7/15

Step-by-step explanation:

we are going to solve this simultaneously.

2x+3y=1.......(i)

and

5x+2=8

5x=6

x= 6/5 .......(ii)

Now let's put value of x into equation number (i)

2x+3y=1

2(6/5) +3y=1

12/5 +3y =1

3y= 1-(12/5)

3y = -7/5

y = (-7/5) ÷3

y= -7/15

Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?

Answers

Answer:

P[2qp] = 0,467      or    46,7 %

Step-by-step explanation:

The probability of two of seven chemistry professors is equal to:

P[2 qp] = quantity of combinations of seven elements taken in groups of two, over total quantity of events, therefore

The total quantity of combinations is:

3 statistics professors + 7 chemistry professors taken in groups of 2 that is:

Te  = (3 + 7) ! / 2!*(10-2)!

Te = 9!/ 2!*5!        ⇒    Te = 9*8*7*6*5!/2!*8!    ⇒ Te = 9*8!/2*8!

Te = 45

And successful events are:

C₇,₂  =  7!/2!*(7-2)!

C₇,₂  = 21

Finally, the probability that both professors are chemistry professors is:

P[2qp] = 21/45

P[2qp] = 0,467      or    46,7 %

The probability of selecting both professors are chemistry professors will be 0.4667 or 46.67%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Three statistics professors and seven chemistry professors are available to be advisors to a student organization.

The student organization needs two of the professors to be advisors.

If each professor has an equal chance of being selected.

The probability that both professors are chemistry professors will be

The total quantity of combinations will be

[tex]\rm T = \ ^{10} C _ 2 = 45[/tex]

And successfull events will be

[tex]\rm F = \ ^7C_2 = 21[/tex]

Then the probability will be

[tex]\rm P = \dfrac{F}{T}\\\\\\P = \dfrac{21}{45}\\\\\\P = 0.4667 \ or \ 46.67 \%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Evaluate 9sigma n=5 3n+2

Answers

Answer:

17

Step-by-step explanation:

make me as brienliest

PLZ HELP FAST
Suppose x and y give the populations of two different cities where x >y and y > 0. Compare the expressions and select which of the given pair is greater. X/ x +y (select) x+y /X​

Answers

Answer:

(x + y)/x is greater than x/(x + y)

Step-by-step explanation:

Given.

x > y

y > 0

Required

Which is greater?

x/(x + y) or (x + y)/x

Since x is greater than y & y > 0

Then definitely,

x + y > x

By the above analysis:

(x + y)/x is an improper fraction because the numerator (x + y) is greater than the denominator (x)

While

x/(x + y) is a proper fraction because the numerator (x) is lesser than the denominator.

All improper fractions are greater than all proper fractions,

Hence:

(x + y)/x is greater than x/(x + y)

To further explain this:

Take

x = 3 and y = 2

x/(x + y) = 3/(3 + 2) = 3/5 = 0.6

(x + y)/x = (3 + 2)/3 = 5/3 = 1.67

See that (x + y)/x is greater than x/(x + y)

And this is so for all values of x and y

Where x > y and y > 0

Answer:

is less than

Step-by-step explanation:

what is the sum of all even integers between 9 and 39?​

Answers

Answer:

360

Step-by-step explanation:

10+12+14+16+18+20+22+24+26+28+30+32+34+36+38=360

it is very easy

hope it helps you

Find the exponential function evaluate of
Y=2.5x

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 2.52.5

y-intercept: (0,0)

x y

0 0

1 2.5

(9x+5)+(-2x^2+10x)
(9x+5)+(−2x
2
+10x)

Answers

Answer:

If i´m correct and read the answer correct it should be:

-18x³+80x²+65x+5

Step-by-step explanation:

Hopefully this is correct, I couldn't understand if (-2x 2+10x) was spaced or if it was being multiplied.

Triangle ABC, in the coordinate plane, is reflected over the -axis to form shown on the coordinate plane below.

Answers

Answer:

I think it’s C

Step-by-step explanation:

Answer: (x,y) to (x,-y)

Step-by-step explanation:

To multiply two numbers using scientific notation, you would ____ the exponents.

Answers

Answer:

add

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.

See if that helps.

why are these similar or not similar​

Answers

Answer:

not similar

Step-by-step explanation:

A similarity would be that they are both scalene triangles.

Select the postulate of equality or inequality that is illustrated. 5=5 addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality​

Answers

Answer:

Reflexive postulate of equality

Step-by-step explanation:

Given

[tex]5 = 5[/tex]

Required

Which option answers the question

From the list of given options, the correct answer is: reflexive postulate of equality

This is so, because:

Reflexive postulate of equality implies that: [tex]a = a[/tex]

So, take [tex]a = 5[/tex]

This gives:

[tex]a = a[/tex]

[tex]5 = 5[/tex]

Hence:

Reflexive postulate of equality answers the question

what is 20 1/6% as a fraction

Answers

Answer:

1.6

Step-by-step explanation:

1 x 20

6 x 1

=

20

6

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 20 and 6 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

20/2 = 10

6/2 = 3

10/3

The complete and simplified answer to the question what is 1/6 of 20 is:

3 1/3 = 1.6

so basically what i did is convert 3 1/3 as a simplified fraction and got 1.6

A 168-inch board is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.

Answers

Answer:

42

Step-by-step explanation:

168 Inches. One is three times the length of the other so, the bigger piece is 3/4 while the shorter is 1/4. Simply multiply 1/4 by 168. You get 42.

The midpoint of AB is M(3,3). If the coordinates of A are (2, -1), what are the

coordinates of B?

Answers

Answer:

(4, 7)

Step-by-step explanation:

Given that:

Midpoint of AB = M(3, 3)

Coordinate of A = (2, - 1)

Let coordinates of B = (x, y)

Recall :

Midpoint of AB = [(Ax + Bx) / 2, (Ay + By) / 2]

Mx = (Ax + Bx) / 2

My = (Ay + By) / 2

Mx = 3

Mx = (Ax + Bx) / 2

3 = (2 + x) / 2

2*3 = 2 + x

6 = 2 + x

6 - 2 = x

4 = x

My = 3

My = (Ay + By) / 2

3 = (-1 + y) / 2

2*3 = - 1 + y

6 = - 1 + y

6 + 1 = y

7 = y

Hence,

B = (4, 7)


1 point
Translate the words to an algebraic expression. "The first integer plus the next consecutive integer plus the next consecutive integer."



Answers

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

1. Compare using >,<, or =. d. 24 tenths ______2.5

Answers

Answer:

<

Step-by-step explanation:

[tex]24 \: tenths = \frac{24}{10} = 2.4 \\ \\ 2.4 \: \: \red{\bold{ < }} \: \: 2.5[/tex]

Which type of data would be BEST displayed in a dot plot?

Answers

Answer:

Fourth Option

Step-by-step explanation:

Rewrite in simplest terms: 4(-5u +3) – 4(8u - 1)

Answers

Answer:

You distribute then combine

your answer is -52u+16

Step-by-step explanation:

Help please
-x^3 = 216
a. +/- 6
B. 6
C. -6 ∛6
D. -6

Answers

Answer:

D. -6

Step-by-step explanation:

SInce x is negative, the - before the six would be cancelled out leaving the equation to be 6^3=216 which is correct

the average or the blank is the blank divided by the blank or the amount of numbers being divided is what ​

Answers

Answer:

Numerrator is the denominator divieded by the other equations is the sum.

Step-by-step explanation:

Hope I helped

multiply


97.062x12.5

Answers

Answer:

1213.275

or

48,531/40​

One lap around the track at Kathleen’s school is 0.4 kilometer. If Kathleen ran 3.5 laps, how many kilometers did she run?

Answers

Answer:

Kathleen ran  2 3/16miles

Answer:

The correct answer is option B


LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist

Answers

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

Other Questions
x+2y = 4I forgot how to do the problem Will give brain thing. We know that careers are separated first by cluster, then pathway, then into individual careers. Does this kind of organization make sense to you? What are some advantages of organizing careers like this? What are some disadvantages? During the Korean War, what prevented the southern part of the peninsuO A. The threat of a Soviet naval blockadeB. The assistance of the Chinese militaryC. The use of atomic weapons on northern citiesOD. The involvement of UN forces under the command of the United Sta What is the area of the triangle? PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE Do fungi have cilia, flagella or pseudopodia for locomotion?i) Yesii) No For an alternative to the String class, and so that you can change a String's contents, you can use_________ . a. char. b. StringHolder. c. StringBuilder. d. StringMerger. TASK #2 - Why does the ghost showScrooge the Cratchits? What can helearn from them? What other challenges did the United States face? Dan and Rachel have been assigned to work together as co-leaders of an anxiety disorders group. In order to be effective models for their group members, they should:_________a. seek supervision only if issues arise between them.b. explore their personal beliefs and perspectives about cofacilitation.c. inspire each other by competing with each other to develop the most creative techniques.d. depend heavily on each other. 12. Which set of events is listed in chronological order1. Articles of Confederation approved 2. Declaration of Independence signed 3.U.S. Constitution ratified 4. Fundamental Orders of Connecticut adopted A rock on the ground weighs 40N. How much force does the ground exert on the rock?A. 20nB. 0NC.40n Which is the largest prefix? Meter- Centi- Milli- Kilo- Majority of your daily caloric intake should come from what nutrient? Question 9 options:Vitamins and mineralsFats ProteinsCarbohydrates PRACTICE ANOTHER Is 4a a factor of 2a 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a 38b = 4a 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a 38b = 4a 19b where 4a and 19b are not necessarily integers because products of integers are not always integers. true or false losing inventory for the year ended 31 August 2018 will be closing inventory for the year ended 31 August 2019 A $135 petty cash fund has cash of $18 and receipts of $120. The journal entry to replenish the account would include a:______a. credit to Petty Cash for $120b. credit to Cash for $102c. debit to Cash for $120d. credit to Cash Short and Over for $3 can someone help me it is math please I will mark brainlist Please help Im timed Which type of pronoun is used in the sentence?Select Intensive or Reflexive. ALSO if you have a steam account add me Im trolldier with a frog as my avatar picture. :D