Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17

Answers

Answer 1

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}=\frac{8}{2}[/tex]

x = 4

→ Substitute x by 4 in EF and FG to find their lengths

EF = 5(4) + 9 = 20 + 9 = 29

FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

EG = 29 + 29 = 58

The length of EG is 58 units


Related Questions

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

Which set of expressions are not equivalent? (4 1/2a + 2) + 3 and 5 + 4 1/2 a

Answers

Answer:

not equivalent

Step-by-step explanation:

2a+11

5+9/2a

C. How can you tell by just looking at the coefficients of -2x2 and 2x2 that the terms will add to zero?

Answers

Answer:

-2x^2 + 2x^2 is equal to zero,  -2+2=0 the negative 2 cancels the positive 2

Step-by-step explanation:

Solve for v.
42 =3v- 15
Simplify your answer as much as possible.

Answers

Step-by-step explanation:

42=3v-15

We move all terms to the left:

42-(3v-15)=0

We get rid of parentheses

-3v+15+42=0

We add all the numbers together, and all the variables

-3v+57=0

We move all terms containing v to the left, all other terms to the right

-3v=-57

v=-57/-3

v=+19

Answer:

v= +19

Step-by-step explanation:

True or false: The domain and range always have the same number of unique values.

Pls help! I only have 3 min left!

Answers

I believed it’s True

Help me Plzzzzz!! ASAP!

Answers

All I can really say it it would be a linear function and the y axis is -3 but I can’t really help if I don’t know what the question is to the problem

Preform the following operations with fractions.
-11/5+4/6

Answers

(-11/5)(6/6) + (4/6) (5/5)
-66/30 + 20/30
-46/30
23/15

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

Answer

75 inches

Explonation

To find the answer, you should multiply 1 by 75

Divide. Write the quotient in lowest terms.
2 3/4 divided by 3

Answers

0.91666666666 hope this helps

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

good luck on your assignment

y = 5x + 2 and y = 5x – 1 parallel, perpendicular, or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope, in this equation it is a slope of 5.

The given lines are parallel in nature.

What is slope?

Numerical measure of a line's inclination relative to the horizontal.

Equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation.

Given:

y = 5x + 2 and y = 5x – 1

The slope for line 1 is 5.

and, the slope for line 2 is 5.

For, perpendicular line the slope of both lines are negative inverse relation.

But here the slope of both line are same which have parallel nature.

Hence, both lines are parallel in nature.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

what is the domain?​

Answers

Answer:

[-5,5]

Step-by-step explanation:

Use the picture below please!!

Answers

Answer:

AB and BC are Skew

AE and BF are Parallel

Step-by-step explanation:

The measure of angle 1 is (3x + 10)° In the measure of angle 4 is (4x - 15)°
What is the measure of angle 7?​

Answers

∠1 = ∠4 ( vertically opposite angles )

Then :-

[tex]3x + 10 = 4x - 15[/tex]

[tex]10 = 4x - 15 - 3x[/tex]

[tex]10 = 1x - 15[/tex]

[tex]1x - 15 = 10[/tex]

[tex]1x = 10 + 15[/tex]

[tex]1x = 25[/tex]

Which means :-

∠1 =

= 3x + 10

= 3 × 25 + 10

= 75 + 10

= 85°

∠4 =

= 4x - 15

= 4 × 25 - 15

= 100 - 15

= 85°

Then :-

∠7 = ∠6

∠6 + ∠4 = 180° ( interior angles on the same side of transversal )

∠6 + 85 = 180°

∠6 = 180 - 85

∠6 = 95°

As ;

∠6 = ∠7

∠7 = 95°

Therefore , angle 7 = 95° .

Answer:

95

Step-by-step explanation:

the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain​

Answers

Answer:

It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.

Step-by-step explanation:

Turn this into numerical form -> one-half the sum of x and 12

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

Noah Beck starred as Dixie D'Amelio's love interest in her "Be Happy" music video.
Since then, the pair has revealed that they are dating.
Apparently, though, Noah wasn't even originally going to be cast in the video.
Imagine if Noah Beck and Dixie D'Amelio never kissed in the "Be Happy" music video? Where would we be now? Would the pair still be secretly dating?? Well,

YES U CAN TAKE THE POINTS

Answers

Answer:

yes my answer is yes kind sir

Answer:

They are so cute, i ship Doah so muchhh

Step-by-step explanation:

Angle Pairs Relationships HW
Accessibility Mode

Pictures above

Find the value of each variable

1. A= ?
B= ?
C=?

2. A=?

3. A=?
B=?
C=?

Answers

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

B = 55

C = 25

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

answer both please :))))

Answers

Answer:

Y-intercept (0,4)

X-intercept (0,2)

Step-by-step explanation:

It the point where the line crosses the y or x intercept

Dewey rides his bicycle 5 miles in 3/4 of an hour. At this rate, how many miles can he ride his bicycle in 6 hours?

Answers

Answer:

18/16

Step-by-step explanation:

Answer: ez, 40 miles.

Step-by-step explanation:

is 0.523 a rational number?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct? Ivan only Polina only both Ivan and Polina neither Ivan or Polina

Answers

Answer:

Both are correct

Step-by-step explanation:

To check the validity of their statements, we shall be using direct examples

For Ivan , we can have an example of his assertion as follows;

-1/2 * -1/3 = 1/6

For Polina, we can have

-1/2 * -1/3 * -1/4 = -1/24

We can see from the above that both of them got their opinions correctly as there are no exceptions to the above

Answer:

both Ivan and Polina

Step-by-step explanation:

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

If you borrow $800 for 8 years at an annual rate of 11% how much will you pay altogether?

Answers

Answer:

$1,843.63

Step-by-step explanation:

[tex](1+0.11)^{8}[/tex] · 800 = $1,843.63

This is the answer 1,843.63

Help!!!!!!!!! Quick!!!!!

Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

Step-by-step explanation:

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