The graph of g(x) shown below has the same shape as the graph of f(x)=x2 but it is shifted right by 5 units write the equation for g(x)please help me!! :(

The Graph Of G(x) Shown Below Has The Same Shape As The Graph Of F(x)=x2 But It Is Shifted Right By 5

Answers

Answer 1

f(x)= x^2

To shift 5 units to the right subtract 5 to x .

g(x)= (x-5)^2


Related Questions

A circle of radius r has area A, where A =xr^2

Answers

The area A of the circle whose radius is 10 can be calculated by given equation A =pi r^2 is 314.2 cm^2.

What is area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.

If we draw a square using a pencil on a sheet of paper. It will have two dimensions. The area of a shape on paper is the area that it occupies and it will be called as area of that square.

For getting the area of the circle we need to put the value of r in the given equation:

r = 10 cm

Putting the value of pi and r in the equation:

A = pi r^2

A = 3.142 (10)^2

A = 3.142 (100)

A = 314.2

Therefor the area of the circle calculated by given equation is 314.2 cm.

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Complete question

A circle of radius r has area A, where A =pir^2, calculate the area of circle whose radius is 10 cm.

A s’mores maker kit has a list price of $39.95 and is offered to wholesalers with a series discount of 20/10/10. The same appliance is offered to Kitchen Crafters (a retailer) with a series discount of 20/10. Find the difference in price.

Answers

Since the list price is $39.95

Since the series of discounts 20/10/10

Then we will find the new price by this way

Since the first discount is 20%, then

The new price will be 80% of 39.95

[tex]\frac{80}{100}\times39.95=31.96[/tex]

Since the second discount is 10%

Then the new price is 90% of 31.96

[tex]\frac{90}{100}\times31.96=28.764[/tex]

Since the third discount is 10%

Then the new price is 90% of 28.764

[tex]\frac{90}{100}\times28.764=25.8876[/tex]

Since the second option has only a 20/10 discount, then

The new price is 28.764

To find the difference subtract 25.8876 from 28.764

The difference = 28.764 - 25.8876

The difference = 2.8764

The answer is $2.8764



convert 430 cm² to m²​

Answers

Answer:

4.3

Step-by-step explanation:

0.043 m^2 is the answer I’m pretty sure

Simplify m8m−6. yehhhhhh

Answers

The value of [tex]m^{8} m^{-6}[/tex]  after simplification is [tex]m^{2}[/tex].

According to the question,

We have the following expression:

[tex]m^{8} m^{-6}[/tex]

Now, please note that there are some rules for simplifying expressions with powers. For example, powers are added if the base of the terms in the multiplication are the same. And if the base of the terms are same but they are in division then the powers are subtracted.  

In this case, the base is same (m) and the terms are in multiplication.

So, we are supposed to add their powers.

Now, we have the following expression:

[tex]m^{(8-6)}[/tex]

[tex]m^{2}[/tex]

Hence, the value after solving the given expression is [tex]m^{2}[/tex].

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Write the equation in vertex form for the parabola with vertex (0, 6) and focus (0, 3).

Answers

Answer:

Step-by-step explanation:

the axis of the parabola is x=0So the parabola is of the form (x−0)2=4a(y−6)Now the length of latus rectum =4a=4× the distance between focus and vertex =4×3=12Hence the parabola is x2=−12(y−

9 divided by 927. ……………………

Answers

108 or if u mean it differently 1/103

depending on the question but it's most likely 103

Step-by-step explanation:

(-5, 3) slope -4 into slope intercept form

Answers

The equation using slope intercept form would be...

[tex]y=-4x-17[/tex]

Hope this helps!

can you help me find the derivatives of these questions please

Answers

Answer:

(Number 5)

[tex]\frac{dy}{dx}=\text{ }x(2^x)\ln 2\text{ }+2^x[/tex]Explanations:

The given equation is:

[tex]y=x(2^x)[/tex]

This function represents the product of x and 2^x, therefore, to find the derivative, we will use the product rule.

When y = UV, dy/dx is given as:

[tex]\frac{dy}{dx}\text{ = U}\frac{dV}{dx}+V\frac{dU}{dx}[/tex]

In the equation y = x (2^x):

[tex]\begin{gathered} U\text{ = x} \\ \frac{dU}{dx}=\text{ 1} \\ V=2^x \\ \frac{dV}{dx}=2^x\ln 2 \end{gathered}[/tex]

Substituting the U, V, dU/dx, and dV/dx into the given formula for dy/dx:

[tex]\begin{gathered} \frac{dy}{dx}=x(2^x)\ln 2+2^x(1) \\ \frac{dy}{dx}=\text{ }x(2^x)\ln 2\text{ }+2^x \end{gathered}[/tex]

PLEASE HELP ME ANSWER THESE QUESTIONS !

1. How does radian measure of an angle compare to the degree measure? Include an explanation of 1 radian in your answer.

2. Explain how the cosine of an angle in the second quadrant differs from the cosine of its reference angle in the unit circle.

3. Describe the secant and cosecant functions.

4. When a right triangle with a hypotenuse of 1 is placed in the unit circle, which sides of the triangle correspond to the x- and y-coordinates?

Answers

Through the knowledge and trigonometry, we have :

1 radian = 180 degrees[tex]t^{'} = 180-t[/tex][tex]Secant \alpha = \frac{hypotenuse}{base}\\ Cosecant \alpha = \frac{hypotenuse}{perpendicular}[/tex]The x-coordinate is the central angle's adjacent side, while the y-coordinate is its opposite side.

1. Since a circle's circumference is 360 degrees or two pi radians, a radian is equivalent to 180 degrees. Since radians require knowledge of higher mathematics and contain tangents, sines, and cosines, which are taught in college, they are not as frequently employed in measuring circles and angles as degrees.

2. The measurement of the lowest, positive, acute angle t created by the angle's terminal side is known as the reference angle, t the horizontal axis, too. As a result, positive reference angles can be used as models for angles in other quadrants because their terminal sides are in the first quadrant.

In the 1st Quadrant, All the trigonometric functions are positive,

[tex]t^{'} =t[/tex]

In the 2nd Quadrant. Only Sin is positive,

[tex]t^{'} = 180-t[/tex]

So, [tex]cost^{'} = Cos(180-t) = -Sint[/tex]

3. Secant is the Inverse of Cos and Cosecant is the Inverse of Sine, Hence they are :

[tex]Secant \alpha = \frac{hypotenuse}{base}\\ Cosecant \alpha = \frac{hypotenuse}{perpendicular}[/tex]

4. The x-coordinate is the central angle's adjacent side, while the y-coordinate is its opposite side.

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Find the length of CD.express the awnser as a fraction times pie.

Answers

Given the figure of the circle B

the radius of the circle = r = BC = 9

the measure of the angle CBD = 40°

We will find the length of the arc CD

The length of the arc is given by the formula:

[tex]l=\theta\cdot r[/tex]

where: θ is the central angle opposite to the arc measured in radians

so, we will convert the given angle from degree to radian

[tex]\theta=40\cdot\frac{\pi}{180}=\frac{2}{9}\pi[/tex]

Substitute with the given values

so, the length of the arc =

[tex]l=\frac{2}{9}\pi\cdot9=2\pi[/tex]

So, the answer will be:

The length of the arc CD = 2π

Which is the better buy: 18 oz. of rice for $6.30, 12 oz. of rice for $4.56, or 7 oz. of rice for $2.59?

Answers

Answer:

18oz for 6.30 is the cheapest

Step-by-step explanation:

0.35$ per oz

0.38$ per oz

0.37$ per oz

:]

Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam.

Answers

Answer:

The correct option is B

Leroy reads 22.5 pages in 30 minutes

At the rate of 3 pages in 4 minutes

Explanation:

Given that Sam reads 30 pages of books in 40 minutes, he reads at the rate of 3 pages in 4 minutes (3/4 = 0.75).

To know which of the options has the same rate as Sam's, we need to find which rate is equal to his'

A. Francine reads 40 pages in 55 minutes

Rate = 40/55 = 8/11

B. Leroy reads 22.5 pages in 30 minutes

Rate = 22.5/30 = 0.75

C. Paul reads 150 pages in 3.25 hours. Since 3.25 hours = 195 minutes

Rate = 150/195 = 0.77

D. Bill reads 60 pages in 2 hours

Rate = 60/120 = 0.5

The graph of f(x) = x^3 is stretched vertically by a factor of 6. The graph
is then translated 9 units to the right and 3 units down. Write the equation of the transformed function.

Answers

Answer:

Transformed equation: 6(x-9)³ - 3

Step-by-step explanation:

Answer:

6(x - 9)^3 - 3

Step-by-step explanation:

1. Vertical Stretching : f(x) -> g(x): [tex]g(x) = 6x^{3}[/tex]

2. Horizontal Move: g(x) -> h(x): [tex]h(x) = 6{(x - 9)}^{3}[/tex]

3. Vertical Move: h(x) -> F(x): [tex]F(x) = 6{(x - 9)} ^{3} - 3[/tex]

Mrs. Casen plans to have 3 3/4 rolls of carpet installed in her new house. The cost of the carpet including installation is $450 per 1/2 carpet roll. How much will Mrs. Cassen be charged for the carpet and installation?

1. 1368
2. 2736
3. 3420
4. 3420

Answers

Answer:

$3375

Step-by-step explanation:

3 3/4 ÷ 1/2

=15/4 × 2/1

=7 1/2

7 1/2 multiply by carpet cost

7 1/2 × 450

= $3375

(your 3rd and 4th option in the multiple choice are the same btw)

Omg guys can y’all please help i’m begging

Answers

The equation of the function g(x) is -√(x-7).

We are given a function f(x).The function f(x) equals √x.Our objective is to do some transformations on the graph of the function f(x) and reach the equation of the function g(x).We first need to reflect the function on the x-axis.We just take negative of the function f(x) to reflect it about the x-axis.f(x) = -√xWe now need to translate the function to the right by 7 units.We subtract 7 from the argument of the function to translate it to the right by 7 units.f(x-7) = -√(x-7)This is our required function.Thus, the equation of the function g(x) is -√(x-7).

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Bags A and B each contain counters.
Bag A
60 counters
Each counter is green, blue or yellow
P(green counter from A) = P(red counter from B)
Work out the number of green counters in A.
Bag B
12 counters
9 blue and 3 red

Answers

In probability, A is 8 out of 16 and C is 3 out of 15.

What is probability explain?

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

Out of the 17 counters in the bag 3 are yellow , 6 are red and the rest i.e., 17–3–6 or 8 nos.are green.

When selected randomly once one counter the probability of selecting one is

A. green is 8 out of 17 or 8/17 ,

B. getting a red one is 6 out of 17 or 6/17.

C. getting a yellow is 3 out of 17.

This is when the counter is put back in the bag for selecting.

If the selected one is not put back remaing counters are less by one each time it's drawn and then the probability figure is one out of 16 in the second case and one out of 15 for the third draw ime., then A is 8 out of 16 and C is 3 out of 15.

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PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!

Answers

So, we know BC is parallel to EF and 1 is congruent to 3.

Angles between parallel lines have special relationships. The relationships between 2 and 3 is that they are Same-side Interior Angles. This means that angles on the same line, formed by parallel lines intersecting that line (and the angles are on the same side of their respective line) are congruent. So, 2 and 3 are congruent... But by the transitive property, if 1 = 3 and 3 = 2... 1 = 2! And if 1 = 2, they are also Same-side interior angles and thus, the lines they lie on are parallel! So, since 1 and 2 are congruent, AB is parallel to DE.

Answer:

See below.

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

[tex]\begin{array}{c|c}\sf Statement & \sf Reason\\\cline{1-2} BC \parallel EF & \phantom{\dfrac11}\sf Given\\\\\angle 2=\angle 3 & \textsf{Corresponding Angles Postulate}\\\\\angle 1=\angle 3 & \sf Given\\\\\angle 1=\angle 2 & \textsf{Transitive property of equality}\\&(\angle 2=\angle 3 \; \textsf{and} \; \angle 1=\angle 3)\\\\AB \parallel DE & \textsf{Corresponding Angles Postulate}\\& \textsf{as} \;\angle 1=\angle 2\end{array}[/tex]

As DE intersects the two parallel lines BC and EF, ∠2 is congruent to ∠3 (corresponding angles postulate).

As ∠1 = ∠3 and ∠2 = ∠3, then ∠1 = ∠2 (transitive property of equality).

Therefore, as ∠1 and ∠2 are congruent, AB and DE must be parallel (BC is the transversal).

A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
6
9
14
Time (in minutes)
2 3 7
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted distance traveled in 9 minutes: km

Answers

Yes, The train does not always go the same distance each minute.

Given,

A train travels from City A to City B.

The distance and the amount of time it takes on the  train is

Distance (km)                        Time (in minutes)

6                                                      2

9                                                      3

14                                                     7

Now According to the question:

Does the train go the same distance each minute?

In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.

Average speed = total distance / total time

Average speed when distance is = 6/ 2 = 3 km/hrAverage speed when distance is = 9/3 = 3 km/hrAverage speed when distance is = 14/7 = 2 km/hr

Hence Yes, The train does not always go the same distance each minute.

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I need help can someone help me?

Answers

The sum  [tex]S_4[/tex] = 80

How is the summation calculated?

[tex]S_4= \sum_{k=1}^{4} 2(3^{n-1}) \\\\= 2 \sum_{k=1}^{4} (3^{n-1})\\\\=2[3^{1-1}+3^{2-1}+3^{3-1}+3^{4-1}]\\\\=2[3^{0}+3^{1}+3^{2}+3^{3}]\\\\=2[1+3+9+27]\\\\=2 [40]\\\\=80[/tex]

What is summation?

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total. Series are summations of infinite sequences. A succession of adds is the summation of an explicit sequence. A regular pattern defines a sequence's elements according to their positions within the sequence.If the summation has no summands, then the evaluated sum is zeroBecause zero is the identity for addition and this is known as the empty sum.

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Complete both transformations below.
Then enter the final coordinates of the figure.
(1,-3)
A
C (2,-5)
B
(5,-1)
A" ([?], [])
B" ([ ], [])
C" ([],[])
1) Reflect across y - axis
2) <4.5>

Answers

Answer:

A''(3, 2), B''(-1, 4), C''(2, 0)

Step-by-step explanation:

For the first step, negate the y coordinate.

For the second step, add 4 to the x coordinate and 5 to the y coordinate.

[tex]A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)[/tex]

5) 13% of score
On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for the
blueprint is 1 inch for every 7 feet, then what is the area of the actual living room?
A. 15 ft²
C. 735 ft²
B.
D.
105 ft2
56 ft²

Answers

Based on the dimensions of the blueprint of the house, the area of the actual living room can be found to be 735 ft²

How to find the area?

The first thing to do is to convert the dimensions on the blueprint to their actual figures.

If 1 inch on the blueprint is 7 feet, then the actual dimensions are:

= 3 inches x 7

= 21 feet

Dimension B:

= 5 inches x 7

= 35 feet

The area can then be found by:

= Dimension A x Dimension B

= 21 x 35

= 735 ft²

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7x-3y=11 find ordered pairs

Answers

Answer:

[tex](0,-\frac{11}{3} ),(1,-\frac{4}{3} ),(2,1)[/tex]

Step-by-step explanation:

Given Equation:

[tex]7x-3y=11[/tex]

Required:

Solve the equation for [tex]y[/tex].Find ordered pairs.

Steps:

Subtract 7x from both sides of the equation.

-3y = 11 - 7x

Divide each term in -3y = 11 - 7x by -3 and simplify.

-3y/-3 = 11/-3 + -7x/-3

Simplify the left side.

Cancel the common factor of -3.

-3y/-3 (canceled) = 11/-3 + -7x/-3

Divide y by 1.

y = 11/-3 + -7x/-3

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

y = -11/3 + -7x/-3

Dividing two negative values results in a positive value.

y = -11/3 + 7x/3

Choose any value for x that is in the domain to plug in to the equation.

Choose 0 to substitute in for x to find the ordered pair.

Remove parentheses.

y = -11/3 + 7(0)/3

Simplify  -11/3 + 7(0)/3.

⇒ Combine the numerators over the common denominator.

y = -11/3 + 7(0) / 3

Simplify the expression.

Multiply 7 by 0.

y = -11 + 0/3

Add -11 and 0.

y = -11/3

Move the negative in front of the fraction.

y = -11/3

Use the x and y values to form the ordered pair.

(0, -11/3)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y = -11/3 + 7(1)/3

Simplify -11/3 + 7(1)/3.

Combine the numerators over the common denominator.

y =  -11/3 + 7(1)/3

Simplify the expression.

Multiply 7 by 1.

y = -11 + 7/3

Add -11 and 7.

y = -4/3

Move the negative in front of the fraction.

y = -4/3

Use the x and y values to form the ordered pair.

(1, -4/3)

Choose 2 to substitute in for the x in the ordered pair.

Remove parentheses.

y = -11/3 + 7(2)/3

Simplify -11/3 + 7(2)/3.

Combine the numerators over the common denominator.

y =  -11/3 + 7(2)/3

Simplify the expression.

Multiply 7 by 2.

y = -11 + 14/3

Add -11 and 14.

y = 3/3

Divide 3 by 3,

y = 1

Use the x and y values to form the ordered pair.

(2, 1)

These are three possible solutions to the equation.

(0, -11/3), (1, -4/3), and (2,1)

Thanks,
Eddie

Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1), L (-2,2), and M (3,-1). Round your answer to two decimal places.

Answers

PERIMETER:

You can calculate the perimeter of a triangle knowing the coordinates, by calculating the distance between every point, as follows:

[tex]\bar{KL}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where x1=-4, y1=-1, x2=-2 and y2=2, replace these values:

[tex]\begin{gathered} \bar{KL}=\sqrt[]{((-2)-(-4))^2+(2-(-1))^2} \\ \bar{KL}=\sqrt[]{(2)^2+(3)^2} \\ \bar{KL}=\sqrt[]{4+9}=\sqrt[]{13}=3.61 \end{gathered}[/tex]

Now, you have to do the same for the other segments, let's continue with LM:

[tex]\begin{gathered} \bar{LM}=\sqrt[]{(x_3-x_2)^2+(y_3-y_2)^2} \\ x_3=3\text{ and }y_3=-1\text{ by replacing:} \\ \bar{LM}=\sqrt[]{(3_{}-(-2))^2+((-1)-2)^2} \\ \bar{LM}=\sqrt[]{(5)^2+(-3)^2} \\ \bar{LM}=\sqrt[]{25+9}=\sqrt[]{34}=5.83 \end{gathered}[/tex]

Same for segment KM:

[tex]\begin{gathered} \bar{KM}=\sqrt[]{(x_3-x_1)^2+(y_3-y_1)^2} \\ \bar{KM}=\sqrt[]{(3-(-4))^2+((-1)-(-1))^2} \\ \bar{KM}=\sqrt[]{(7)^2+(0)^2} \\ \bar{KM}=\sqrt[]{49+0^{}}=\sqrt[]{49}=7 \end{gathered}[/tex]

The perimeter can be calculated as KL+LM+KM:

[tex]\begin{gathered} P=\bar{KL}+\bar{LM}+\bar{KM}=3.61+5.83+7 \\ P=16.44 \end{gathered}[/tex]

AREA:

The area can be calculated by using the next formula:

[tex]A=\frac{1}{2}\mleft\lbrace\lbrack(x_1\cdot y_2)+(x_2\cdot y_3)+(x_3\cdot y_1)\mright]-\lbrack(x_1\cdot y_3)+(x_3\cdot y_2)+(x_2\cdot y_1)\rbrack\}[/tex]

Then, you have to replace the values to find the area:

[tex]\begin{gathered} A=\frac{1}{2}\lbrace\lbrack((-4)_{}\cdot2)+((-2)\cdot(-1))+(3\cdot(-1))\rbrack-\lbrack((-4)\cdot(-1))+(3\cdot2)+((-2)\cdot(-1))\rbrack\} \\ A=\frac{1}{2}\lbrace\lbrack(-8)+(2)+(-3)\rbrack-\lbrack(4)+(6)+(2)\rbrack\} \\ A=\frac{1}{2}\lbrace\lbrack-9\rbrack-\lbrack12\rbrack\} \\ A=\frac{1}{2}\mleft\lbrace\lvert-21\rvert\mright\rbrace \\ A=\frac{21}{2}=10.50 \end{gathered}[/tex]

A jar contains only pennies, nickels, dimes, and quarters. There are 24 pennies, 13 dimes, and 28 quarters. The rest of the coins are nickels. There are 91 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?

__ of the coins are not nickels.

Answers

Answer:"There are 24 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

-----

Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

Step-by-step explanation:

Find the area of the following figure. Show your work.area of odd shapes.

Answers

To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.

Now, find the area of each of the simpler figures, in these case, the rectangles:

[tex]\begin{gathered} A=b\cdot h \\ A_A=7\cdot3=21 \\ A_B=6\cdot2=12 \\ A_C=7\cdot2=14 \\ A_D=5\cdot3=15 \\ A_E=3\cdot1=3 \end{gathered}[/tex]

Finally, find the sum of all these areas to find the area of the figure:

[tex]A_F=21+12+14+15+3=65[/tex]

The area of the figure is 65.

0.103125 to the nearest integer

Answers

⇒When we round to the nearest integer we are to round to the nearest whole

⇒We look at the first term after the comma which is  in the tenths place.

⇒In this case it is 1 does it allow me to round up or down?

It allows me to round down meaning the integer will be 0

Use the Pareto chart to tell the percent of students that enrolled in a private 4 year college.

Answers

20%

1) Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis

2) Therefore, the answer is 20%

When a number is divided by 5, the result is 50 less than if the number had been divided by $6$. What is the number?

IT SAYS 50 LESS NOT GREATER

Answers

The number will be 1500

Given in the question:

A number is divided by 5, the result is 50 less than

and,  if the number had been divided by $6$.

To find the number.

Now, According to the question:

Let the number be x

x is divided by 5 = x/5

also, The number is divided by 6 = x/6

Here, The expression will be:

x/5 -  50 = x/6

30(x/5 - 50) = 30(x/6)

6x - 1500 = 5x

1500 = x

Hence, The number will be 1500 .

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Jose made $143 for 11 hours of work.
At the same rate, how many hours would he have to work to make $117?

Answers

9 hours.

To find the amount of money he makes for 1 hour, divided 143 by 11. This gives us 13. So to find out how long it would take him to make 117, do 117 divided by 13. This gives us 9. It would take him 9 hours to make 117.

Answer:

9 hours

Step-by-step explanation:

Determine whether the triangles are simllar. If they are, select thecorrect similarity statement and the theorem used.

Answers

Step 1

From the image;

[tex]Triangle\text{ ABE\textasciitilde Triangle ACD}[/tex][tex]\begin{gathered} Find\text{ the value of x to know if the sides are proportional} \\ \frac{12}{8}=\frac{6+x}{x} \\ 12x=48+8x \\ 4x=48 \\ x=\frac{48}{4}=12 \end{gathered}[/tex]

Hence;

[tex]\begin{gathered} \frac{12+6}{12}=\frac{8+4}{8} \\ \frac{18}{12}=\frac{12}{8} \\ \frac{3}{2}=\frac{3}{2} \end{gathered}[/tex]

The triangles also share similar angles therefore the answer will be;

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