F is between E and G. E, F, and G are collinear. EG = 29x – 3 ; EF = 6x + 12; FG = 13x + 5. Find EG.

Answers

Answer 1

Answer:

EG=55

Step-by-step explanation:

EF+FG=EG

(6x+12)+(13x+5)=29x-3

19x+17=29x-3

20=10x

2=x

29x-3

29(2)-3

58-3

55

Check

(6x+12)+(13x+5)

((6(2)+12))+((13(2)+5))

(12+12)+(26+5)

24+31

55


Related Questions

Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What does the term in the expression 1.4n + 1.2m represent? What does the entire expression represent?

Answers

The entire expression represents how many packages of pencils and pads of paper bought.

When the civil war began, president lincoln believed that it would only take a few weeks to defeat the rebellious states true or false

Answers

Answer:

it's true that when the civil war began, president Lincoln

If RS = 34 and QS = 72, find QR.

Answers

Answer:

106 you have to add both values and i did add using my calculator and it was 106

Step-by-step explanation:

I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!

Answers

Answer:

31

Step-by-step explanation:

Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.

Step 1: Combine like-terms.

2x + 118 = 180

Step 2: Subtract 118 from both sides to isolate the variable.

2x = 62

Step 3: Simplify

x = 31

M is the midpoint of LN. If LM = 3x - 7, and MN = x - 3, find x

Answers

Answer:

x = 2.5 or 5/2

Step-by-step explanation:

If M is the midpoint it separates the line segment into 2 equal parts so....

3x - 7 = x - 3 ----> + 3 on each side ----> 3x -5 = x ---> - 3x on each side ---> -5 = -2x ----> divide by -2 on each side to get. 2.5

please explain how to do this one as well ...

Answers

Answer:

x = 13

Step-by-step explanation:

Step 1: Define

f(x) = (x - 1)/2

f(x) = 6

Step 2: Substitute and solve for x

6 = (x - 1)/2

12 = x - 1

x = 13

An architect measures a beam to be 96.55 centimeters long, with an accuracy of plus or minus 0.02 centimeter. Which equation can be used to find the limits of the actual length of the beam? |x−96.55|=0.02start absolute value x minus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55−0.02|=xstart absolute value 96 point 5 5 minus 0 point 0 2 end absolute value is equal to x |x+96.55|=0.02start absolute value x plus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55+0.02|=x

Answers

Answer:

|96.55−0.02|= x

|96.55+0.02|=x

Step-by-step explanation:

Given that:

Measured length of beam = 96.55 cm

Measurement accuracy = plus or minus (± 0.02cm)

Limits of actual length of the beam:

Let limit of actual length = x

Lower limit :

|measured length - accuracy| = x

|96.55 - 0.02| = x

96.53) x

Upper limit :

|measured length + accuracy| = x

|96.55 + 0.02| = x

96.57 = x

evaluate each expression.
Example: Evaluate 10 increased by 8
Answer: 18


Evaluate: 20 decreased by 5

Answers

Answer:

15

Step-by-step explanation:if you take a way five from 20 you get 15 because 20-5 is 15

if you start at 1 and go to twenty 5 before that is 15

eeeeeeee if u can answer this i will give u brainly c:

Answers

Between each point of "5" there are 10 little squares in between and each number passes every 2 little squares. So we can use this to solve the questions.

Part A:

Count all the pupils who scored "more" than 7 using the assumption we made above.

12 scored more than 7

Part B:

Since we know that 14 scored more the seven, count all of the pupils who scored 7 and less.

15 scored a seven or less.

Add both numbers.

12 + 15 = 27 total pupils

Part C:

The assumption we had to make was to count each two little squares that represent one pupil to find the answer for Part B.

Best of Luck!

Answer:

the person above is 100% right

Step-by-step explanation:

Zheng was curious whether △ABC and △CED are similar. He wrote a proof and came to the conclusion that they are not similar, but his proof is wrong. What is the first mistake Zheng made in the proof? Choose 1 answer:

Answers

Answer:

C

Step-by-step explanation:

Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.

In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.

It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.

Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

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The horizontal stretch by a factor of 2 and a translation 2 units up

Answers

Answer:

2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).

Step-by-step explanation:

What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only

Answers

Answer:

The answer is C. 8

Step-by-step explanation:

First we should reorganize the data set so that it is easier to see the mode:

0, 1, 2, 2, 5, 7, 8, 8, 8, 9

Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:

0 - Once

1 - Once

2 - Twice

5 - Once

7 - Once

8 - Thrice

9 - Once

From this we can see that the value 8 occurs the most.

Therefore, the answer is C. 8

Which of the following equations is equivalent to the equation? 4x-6y=9
A. y=2/3x-3/2
B. y= -2/3x+3/2
C. y=3/2x-9/4
D. y= -3/2x+9/4
URGENTLY NEED ANSWER A S A P

Answers

Answer:

A. y=2/3x-3/2

Step-by-step explanation:

Subtract 4x over then divide both side by -6

I need help?! Please

Answers

Answer:

a=5

x=4

ax+3=23

5×4+3=23

Step-by-step explanation:

8=16+(y-1)
how do i solve this?

Answers

Answer:

y=-7 :)

Step-by-step explanation:

remove the parentheses

8=16+y-1

subtract the numbers

8=15+y

move variable to the left-hand side and change it's sign

-y=15-8

subtract the numbers

-y=7

change the sides on both sides of the equation

y=-7

hope it help <3

Answer:

y=2

Step-by-step explanation:

8= 16y + 16

16-8= 16y

8= 16y

y= 2

A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine the radius of each scoop, to the nearest tenth.

Answers

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set?

Answers

Answer:

Mean = 81°F.

S. dev. = 5°F.

Step-by-step explanation:

When we have a set of data:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

M = (x₁ + x₂ ... + xₙ)/N

Where N is the number of data points that we have:

in this case the set is:

{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }

So N = 8.

Then the mean is:

M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8

M = 81°F.

Now, the standard deviation can be calculated as.

Sd =  √ ( (1/N)*∑(xₐ - M)^2)

where the summation is over xₐ, which represents a summation over all the points in the data set.

Then we can write the standard deviation as:

Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)

Sd = 4.58°F.

That we should round up to 5°F (because our mean has no digits after the decimal point)

7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?

Answers

Answer:76

Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.

Simplify this i need help

Answers

Answer:

Step-by-step explanation:

√2x(7 + √2x)

7√2x + √2x ·√2x

7√2x + 2x

or

2x + 7√2x

A is the answer

Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9

Answers

Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

Please help I'll mark brainlest

Answers

Answer:

x = 76

Step-by-step explanation:

∠ DIJ and ∠ HIJ are adjacent and supplementary, thus

∠ DIJ = 180° - 107° = 73°

The sum of the 3 angles in Δ DIJ = 180° thus

∠ DJI = 180° - (73 + 31)° = 180° 104° = 76°

∠ DJI and x are vertical angles and congruent , thus

x = 76

Answer:

x = 76

Step-by-step explanation:

x = 76

4d - p = m
Solve for d

Answers

Answer:

d=(m+p)/4

Step-by-step explanation:

The given equation solved for d as d=(m+p)/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4d-p=m.

The given equation can be solved as

4d=m+p

Therefore, the given equation solved for d as d=(m+p)/4.

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13 14 14 16 16 16 16 18 18 19
What is the mean?

Answers

the mean is the same thing as the average, so just add all of the numbers up and divide the total number of numbers.

(13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 19)/10 = 16

Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor from the drawing to the garden is 20. Based on the measurements of Esmeralda's drawing, what is the perimeter of the community garden?

Answers

Answer:

20

Step-by-step explanation:

The perimeter of the community garden is 130 unit.

What is Scale Factor?

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

Scale factor = 20

After Scale factor the Dimension are

l = 2 1/4 x 20 = 9/4 x 20

l = 45

and, w = 1 x 20 = 20

So, Perimeter of rectangular Garden = 2( l +w)

                                                         = 2 ( 45+20)

                                                         = 2 ( 65)

                                                         = 130 unit.

Hence, the Perimeter is 130 unit.

Learn more about Scale here:

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Josh is trying to find the least common multiple (LCM) of 6 and 8. His work is shown at the right. What is Josh's mistake?
Explain how to find the correct LCM of 6 and 8.

Answers

24 because that’s the first multiple they both share

Answer: C is the valid answer to the mistake part

Step-by-step explanation:

6: 2x 3

8: 2x 2 x 2

all together: 2x2x2x2x3 = 48

They were finding the prime factorization and what they were trying to find was the lcm.

what is the distance between 8 1/2 and 4 1/2?

Answers

Answer:

4

Step-by-step explanation:

just subtract 4.5 from 8.5

A fraction is a way to describe a part of a whole. The distance between 8 1/2 and 4 1/2 is 13 feet.

What is a Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2 = (2×2 + 1)/2

= 5/2

= 2.5

Now, the distance between them

Distance = (8 1/2) feet + (4 1/2) feet

Converting Mixed fractions to fractions,

(8×2 + 1)/2  +  (4×2 + 1)/2

= 17/2 + 9/2

= (17+9)/2

= 26/2

= 13 feets

Hence, the distance between 8 1/2 and 4 1/2 is 13 feet.

Learn more about Fraction here:

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Which of the following statements is NOT true?

1. If the endpoints of a segment are (3,0) and (0,3) , the length of the segment is approximately 4.24 units.

2. If the endpoints of a segment are (3,3) and (5,-5), the length of the segment is approximately 4.24 units

3. The Pythagorean theorem can be used to find the length of a segment.

4. The distance formula can be used to find the length of a segment.

Answers

Answer

it think it is 2 and 4 if i am wrong i will edit my work

Step-by-step explanation:

Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?

Answers

Each slice contains 181 calories

543/3=181

Brainliest?

2 and 3 fiths times 5/6 express youre answer in the simplist form

Answers

Answer:

2 and 1/6, hope this helps :)

What is the slope of a line perpendicular to the line whose equation is
6x – 15y = 270. Fully reduce your answer.

Answers

Your slope is 2/5 and your y intercept is (0,-18)
Slope is 2/5 and y intercept should be (0,-18)
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