Which equation can be used to solve for x in the following diagram?

Similar triangles are triangles that has all sides and angles to be equal. The value of x if , ΔGEF and ΔHEF are congruent is 28

Similar triangles are triangles that has all sides and angles to be equal. From the given diagram;

<GFE = <EFH

Given

<GFE = 60 degrees

<EFH = 2(x+2)

Substitute

2(x+2) = 60
2x + 4 = 60

2x = 60 - 4

2x = 56

x = 28

Hence the value of x if , ΔGEF and ΔHEF are congruent is 28

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Answer:

8

Step-by-step explanation:

step 1.
1,1,1,1,1,1,1,1 = 2 + 2 + 2 + 2 = 8

2 + 2 + 2 + 2 + 2 = 10

3 + 0 = 3

4 + 4 = 8

5 + 0 = 5

6 + 0 = 6

Step 2.

8 + 10 = 18

18 + 3 = 21

21 + 8 = 29

29 + 5 = 34

34 + 6 = 40

40/6 = 8

This is because if you added 6 + 6 eight times, you would get 40.

Answer:

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Step-by-step explanation:

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So trees after 1 year

Trees after 2 years

Trees after 3 years

Trees after 4years

Trees after 5 years

Trees after 6 years

Answer:

177

Step-by-step explanation:

This scenario can be modeled as an exponential function.

General form of an exponential function: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the number of trees increase by 10% each year, then the number of trees each year will be 110% of the number of trees the previous year.  Therefore, the growth factor is 110%.

Given:

Substituting the given values into the function:

[tex]\implies y=100(1.10)^x[/tex]

(where x is time in years and y is the number of trees in the orchard)

To find how many trees are in the orchard in the 6th year, input x = 6 into the found equation:

[tex]\implies 100(1.10)^6=177.1561=177\: \sf (nearest\:whole\:number)[/tex]

Therefore, Martin had 177 trees in his orchard in the sixth year.

The car can travel 360 km with 24 liters of gasoline.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A car consumes 6.8 liters of gasoline for every 102 kilometers traveled.

6.8 liters of gasoline = 102 km

1 liters of gasoline = 102 km/ 6.8

                               = 15

24 liters of gasoline = 24 x 15 = 360

Hence, The car can travel 360 km with 24 liters of gasoline.

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To find differences in the angles of the intersections we must know how many degrees each angle corresponds to. We must also take into account that the sum of the internal angles must equal 180°.

A triangle is a polygon that is characterized by having three sides, three vertices, and three angles. An indispensable rule of the interior angles of the triangles is that they must add up to 180º.

Triangles are classified according to their characteristics as shown below:

According to the above, depending on the measurements of the length of the sides and the angles of a triangle, its characteristics and classification change.

Note: This question is incomplete because the image is missing. However I can answer it based on my general prior knowledge.

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Answer:

V = 56,448 cm³

Step-by-step explanation:

the volume (V) is calculated as

V =Ah ( A is the area of the base and h the height )

here A = 2,352 and h = 24 , then

V = 2,352 × 24 = 56,448 cm³

The ratio of their surface areas will be a²/b². And the ratio of their volumes a³/b³.

The size is the amount of space covered by a two-dimensional hard surface.

The volume of an element or compound is the sufficient space it takes up, calculated in cubic units.

1.  The ratio of the surface area of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their surface areas will be a²/b².

2.  The ratio of the volume of similar solids

If the ratio of the corresponding edge lengths of two similar solids is a:b, then the ratio of their volumes a³/b³.

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The statement that verifies that quadrilateral WXYZ is a parallelogram is C)The opposite sides have the same slope.

This refers to a four-sided figure that is used in geometry and has parallel opposite sides.

Hence:

Remember that the opposite sides of a parallelogram are parallel.

We would solve:

Slope WX = 0

Slope XY= 5/2

Slope XZ= 0

Slope ZW= 5/2

The next step would be:

Slope WX= Slope YZ

Slope XY = Slope ZW

Based on the fact that the opposite sides have the same slopes, we can conclude that quadrilateral WXYZ is a parallelogram

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Answer: [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

Step-by-step explanation:

= [tex](2-5\sqrt{6} )-3\sqrt{2}[/tex]

= [tex]2-5\sqrt{6}-3\sqrt{2}[/tex]

This expression is simplified already

Answer: -2(3x-5)

Step-by-step explanation: first you divide 72 and 8 then do the rest

Answer:

3,4 is the pair of numbers that have a sum of 7 and a difference of 1

Step-by-step explanation:

the right answer is 1.714

Answer:

.

Step-by-step explanation:

The value of the expression if x is equivalent to 12 is - 26

Given the expression

f(x) = 5/6(1/2x+6)-3x

If the value of x is 12, then;

f(12) = 5/6(1/2(12)+6)-3(12)

f(12) = 5/6(6+6) - 36

Simplify

f(12) = 5/6(12) - 36

f(12) = 10 - 36

f(12) = -26

Hence the value of the expression if x is equivalent to 12 is - 26

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Answer:

The x-intercept is at (-3, 0).

Step-by-step explanation:

log 1 = 0, so the x intercept of y = log x is at (1, 0).

The + 4 in the parentheses moves the whole graph 4 units to the left.

Therefore the x-intercept of log(x + 4) is where x = 1-4 = -3.

Answer:

35280ways

Step-by-step explanation:

let X be the number of ways the letters can be arranged with no restriction,

let M be the number of ways they can be arranged if the letters C and O must stand together,

and let the number of ways the letters C and O can be arranged if they can not stand together.

X=8!

M= 7!

N=X–M=8!–7!=35280 ways

Answer:

96 cubic inches

Step-by-step explanation:

Volume=length*width*height

Your unknown is volume, which we can simplify as V.

Plugging in for the values of length, width, and height, we get [tex]v=8*3*4[/tex]

From there, we can simplify.

[tex]V=8*3*4\\V=24*4\\V=96[/tex]

To get the units, we know that the length, the width, and the height all are measured in inches.

[tex]V=inches*inches*inches\\V=inches^2*inches\\V=inches^3[/tex]

[tex]inches^3[/tex] can also be written as cubic inches, or inches cubed.

This gives you the answer of 96 cubic inches.

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

answer: 14.385

Add the numbers as if they were whole numbers.Place the decimal point in the sum  so that it lines up vertically with the numbers being added.

hope this helps:)

Step-by-step explanation:

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Step-by-step explanation:

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Answer: x = 0; x=10

Step-by-step explanation:

[tex]\frac{x+2}{x-4} *\frac{3x}{x+4}\\ \\x+2(x+4) = x-4(3x)\\x^{2} +2x+ 4x + 8 = 3x^{2} -12x\\2x+4x+12x =3x^{2} - x^{2} \\20x= 2x^{2} \\10x = x^2\\x=0\\x=10[/tex]

Hope this helps!

Answer:

The middle option on the top row

Step-by-step explanation:

Slope is calculated as rise/run between two points.

In this case it takes 4 up and 5 to the right to get between the two points, so the rise would be 4 and run 5.

Answer:

Step-by-step explanation:

Remark

x/(x+1) - 1/2 = -1 /(x + 1) is the equation to be solved. Add 1/(x + 1 to both sides

x/(x+1) + 1/(x+1) - 1/2 = -1/(x + 1) + 1/(x + 1)              Combine

x/(x+1) + 1/(x + 1) - 1/2 = 0                                      Combine x/(x+1) + 1/(x+1)

(x + 1)/(x + 1) - 1/2 = 0                                            Cancel (x+1)/(x+1) = 1

1 - 1/2 = 0                                                              No solution

Answer: No solution

The amount that Marcia will have saved in interest by consolidating the two balances is: b.$133.92.

First step

Calculating for credit card A monthly payment (12% APR) using financial calculator

=pmt(rate,nper,-pv,fv)

Where:

Rate=12%/12=1%

Nper =12 months×4 years=48

PV = $1,389.47

FV=0

Hence:

=pmt(1%,48,-1389.47,0)

=$ 36.59  

Second step

Monthly payments 16% APR=$39.38×48

Monthly payments 16% APR =$1890.24

Monthly payments  12% APR=$36.59×48

Monthly payment 12% APR=$1756.32

Third step

Amount saved in interest=$1890.24 -$1756.32

Amount saved in interest=$133.92

Therefore the correct option is B.

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Answer:

Likely

Step-by-step explanation:

It is not guaranteed, but it is not impossible. There is a higher chance of it happening compared to it not happening, so it it likely.

The risk versus return of the investments that Marc and Julian are considering are:

Money Market savings accounts are offered by commercial banks and are quite safe which is why they have low returns. The same is true of a Five year CD.

IRAs and Mutual funds are considered moderate because they offer higher rates than CDs but with higher risk as well.

Stock and high-yield bonds are quite risky but they have a chance of a high return as well.

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Answer:

35

Step-by-step explanation:

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