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


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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

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

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:

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

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

Answers

Answer: 1/2(x+12)

Step-by-step explanation:

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

Find X
9yd
12yd
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Answers

Answer:

x= 108

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Right
Acute
Obtuse
Obtuse

Answer:

<A obtuse

<B acute

<C obtuse

<D right

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:

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.
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Answers

(-11/5)(6/6) + (4/6) (5/5)
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the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

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

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:

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:

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

Answers

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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

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Answer:

it is step 3

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Solve for v.
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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

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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

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Answer:

v= +19

Step-by-step explanation:

A standard paper clip is 1
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Answers

Answer

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Explonation

To find the answer, you should multiply 1 by 75

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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