Point F is on line segment EG. Given FG = 3x – 5, EF = x, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer 1

A line segment can have one or more points on it. The numerical length of FG is 4

Given that:

[tex]FG = 3x - 5[/tex]

[tex]EF = x[/tex]

[tex]EG = 5x - 8[/tex]

Because point F is on EG, then:

[tex]EG = EF + FG[/tex]

So, we have:

[tex]5x - 8 = x + 3x - 5[/tex]

[tex]5x - 8 = 4x - 5[/tex]

Collect like terms

[tex]5x - 4x = 8 - 5[/tex]

[tex]x =3[/tex]

Recall that:

[tex]FG = 3x - 5[/tex]

Substitute [tex]x =3[/tex]

[tex]FG = 3 \times 3 - 5[/tex]

[tex]FG = 9 - 5[/tex]

[tex]FG = 4[/tex]

Hence, the numerical length of FG is 4

Read more about line segments at:

https://brainly.com/question/1534220


Related Questions

I think the answer is -21y^2 + 50y- 21 but I’m not sure. Can someone check it over?

Answers

You’re correct. That’s is the right answer.

Answer:

ok the answer is wrong because

when you multiply them you get

-25y^2 + 50y -21

because 5y*-5y is -25y^2 not 21y^2

1. A cube measures 4cm on each side and has a mass of 12 grams. What is the
density of the cube?

Answers

Answer:  0.1875 grams per cm^3

Explanation:

First we need to find the volume of the cube

volume = length*width*height = 4*4*4 = 64 cubic cm

Then we'll divide the mass over this volume to get the density

density = mass/volume

density = (12 grams)/(64 cm^3)

density = (12/64) grams per cm^3

density = 0.1875 grams per cm^3

The notation cm^3 is another way of saying "cubic centimeter" as shorthand.

(Please help, I don't understand) Use the distance formula to find the distance between each pair of points:

Answers

Step-by-step explanation:

Distance = √(x_2 - x_1)² + (y_2 - y_1)²

Distance = √[(-a) - a]² + (b - b)²

Distance = √[-2a]² + (0)²

Distance = √4a²

Distance = 2a

2×1+1× 1/10 +5× 1/100 +5× 1/1000 =

Answers

Answer:

2.15500

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

The answer is: 2.155

Is the square root of 21 a integer

Answers

Answer:

No

Step-by-step explanation:

The square root of 21 is 4.5825... For a value to be an interger, they need to be a WHOLE NUMBER, not a fraction or decimal.

Best of Luck!

(10,-1) (9,4) slope?

Answers

Answer:

-5

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4 - -1)/( 9 - 10)

    ( 4+1)/( 9-10)

    5/ -1

   - 5

Is -12.5 a whole number

Answers

Answer:

-12.5 is not a whole number.

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all​

Answers

Answer:

720

Step-by-step explanation:

Heck that's a lot of erasers!!!

36 (erasers per child) x 20 (the number of children) = 720 (number of erasers)

Chow,...!

Solve Ax = By = C for x.
(9th-grade Algebra 1)

Answers

[tex]question : Ax - By = C \: \: for \: x. \\ \\ answer : x \: = \frac{ By + C}{A} \: \: \\ [/tex]

What is the quotient of -3/8and-1/3

Answers

Answer:

i think the answer is 1 1/8 (or 1.125)

Step-by-step explanation:

1. -3/8 / -1/3 = 3/8 * 3/1 = 9/8

2.Simply this improper fraction to a mix number

9/8 = 1 1/8 (and since 1 is going into the 9,8 it cannot be reduced further)

3rd 1 1/8 is recognized as 1.125

3 x + 10° and 4 x - 5° are the angle of linear pair, find the measurement​

Answers

Step-by-step explanation:

3x jdkdkdlieoeososkdjd

Give me a step by step answer for 15 x 64
( please make it simple) thanks

Answers

Step-by-step explanation:

15 x 64 = 15 x (60 + 4)

= (15x60) + (15x4)

= 900 + 60

= 960

15×6415(60+4)15(60)+15(4)15(60)+6060(15+1)60(16)960

Sandra buys three more apples than Lebo bought. Lebo has seven apples left after he has sold 17 apples . If Sandra only sells eight apples , how many does she have left​

Answers

Answer:

sandra had 19 apples left

Step-by-step explanation:

17+7=24

that means that sandra had 27 apples because she had 3 more apples

27-8=19

Can anyone help me with this please??

Answers

Answer:

3[tex]16.4 \times 0.6 [/tex]

Please help me i need help with this problem -3 11/12+ 1/4 and you will get 100 points with the step how to do it.

Answers

Answer:

25.6666666667 is your answer mate

Hope this helps you

Dont forget to mark me Brainlliest

Answer:

Step-by-step explanation: -3 11/12= -47/12

Lcm= 12

= -47/12 + 3/12

= -44/12

= -3 8/12

What can you say about the triangle in this diagram?


What convinces you that you can make this claim? What assumptions, if any, are you making about the other figures in the diagram

Answers

Answer:

it is an equilateral triangle

Step-by-step explanation:

it has equal sizes

How do heck do u solve metric conversions?? lol

Answers

Answer:

You cant check your answer by yourself

if your procces is Right then obviously your answer will be correct

I hope you will understand

thank you

jay Nepal

A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound inequality solution that describes the acceptable weights for a 20 oz box.

Answers

I hope it helps you

An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.

What is an absolute value?

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.

Let the weight of cereal box be; w

Now, the inequality is

20-0.75 ≤ x ≤ 20+0.75

Add 20 on both sides of an inequality, we get

19.25 ≤ x ≤ 20.75

Here, 19.25 ≤ x ≤ 20.75

Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.

To learn more about an absolute value visit:

brainly.com/question/1301718.

#SPJ2

Evaluate the expression when g=3 and h= 39.
h-69
L
B.
X6
?

Answers

Answer:
39-18 is 21.
Explanation:

PLEASE HELP (WILL MARK BRANLIEST)
Luis bought a 2-hour calling card while on vacation. He has used (x) amount of minutes to call home, already.
Write an expression to represent the amount of minutes Luis has left to use on his calling card.

Answers

Answer:

minutes left = 120 - x (minutes used)

Step-by-step explanation:

1 hour = 60 minutes

minutes left = 2 hr x 60 minutes /hr - x (minutes used)

minutes left = 120 - x (minutes used)

8ab -16c - a^2

A=3
B=4
C=5

Answers

8(3)(4) = 96
96-16(5)= 16
16- 3^2 = 9.
9

Find the missing measures.

Answers

Answer:

x=73, y=107, z=73

Step-by-step explanation:

Each horizontal should equal 180 therefore x would be 180-107 and so on.

find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C

Answers

Answer:

C = (1, 14 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

Find the average of endpoints and equate to coordinates of midpoint

A (5, - 2 ) , let C = (x, y ) , then

[tex]\frac{x+5}{2}[/tex] = 3 ( multiply both sides by 2 )

x + 5 = 6 ( subtract 5 from both sides )

x = 1

and

[tex]\frac{y-2}{2}[/tex] = 6 ( multiply both sides by 2 )

y - 2 = 12 ( add 2 to both sides )

y = 14

Coordinates of C = (1, 14 )

please help me fast ​

Answers

Answer:

Question no 3 have been solved

(a)/(2a)+(4)/(3a^(2)) ayuda por favor

Answers

Answer:

3a^2+8/6a^2

Step-by-step explanation:

there ya go hope this helps

Determine if 0.54856584337009... is rational or irrational and give a reason for
your answer.

Answers

With decimals, it comes down to:
Rational numbers will either repeat or stop.
Irrational numbers will not repeat and will not stop.

Your number is not stopping (because of the …) and there’s no clear repeating pattern show.

Since it’s not repeating and not stopping, it must be irrational.

PLEASE HELP ILL GIVE 30 POINT TO ANYONE THAT WILL

Answers

Answer:

Bring the first dot down to 1 but leave it in the 15 row

Then the middle one bring to the right one line (to 30) and then down two rows (to 2)

And the one on the right bring one line to the right

For 3 which is a vertical to <2

Answers

Answer:

∠4

Step-by-step explanation:

Since the opposite of ∠2 is ∠4, then the vertical angle of ∠2 would be ∠4. (That is the literal definition of vertical angles)

(2x^2 - 4x+1)+(5x+x^2 - 1) sum PLEASE QUICKKKKKK

Answers

the answer is 2x^2+x+1

Identify the domain of an image that has been rotated 270 degrees counter-clockwise
about the origin, given the range is (3,-4), (1, -1), (6, -7).
O (4, -3), (1, -1), (7,-6)
O (-4, 3). (-1, 1), (-7, 6)
O (-3,-4).(-1, -1), (-6, -7)
0 (4,3), (1, 1), (7,6)

Answers

Answer:

A, (4,-3), (1, -1), (7,-6)

Step-by-step explanation:

f(x, y) = (y, -x) there is a 90° clockwise or 270° counterclockwise rotation

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