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

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

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

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:

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

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.

Answer:

20

Step-by-step explanation:

The perimeter of the community garden is 130 unit.

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.

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Answer:

a=5

x=4

ax+3=23

5×4+3=23

Step-by-step explanation:

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

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.

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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Answer:

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

Step-by-step explanation:

Subtract 4x over then divide both side by -6

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

Answer:

d=(m+p)/4

Step-by-step explanation:

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

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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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

Answer:

Step-by-step explanation:

√2x(7 + √2x)

7√2x + √2x ·√2x

7√2x + 2x

or

2x + 7√2x

A is the answer

Answer:76

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

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

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

Answer

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

Step-by-step explanation:

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

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

Answer:

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

Step-by-step explanation:

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)

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.

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.

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Answer:

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

Answer:

2 and 1/6, hope this helps :)

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: