Each time you take your dog to the dog park it costs $175. Write an expression that represents the cost of n visits to the dog park.

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Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

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Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

Answer:

c=93

=23-16=7

7+93=100

hence proved

Answer: l +w+ hypotenuse or 204

Step-by-step explanation: so the farmer walks the length then the width of the field then the diagonal which we don't know using pythagorean to find that last side then add the values 51^2+68^2=c^2 and 51+68+85= 204

Answer:

400/1000×100%

40% is the percent of decrease from 1,000 to 400.

Answer:

math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my

Step-by-step explanation:

explanation helps

Answer:

let the opposite angle of 44 be x

and let opposite angle of z be y

44+52 + x=180( by sum of all angle is 180°)

96+x=180

x= 180-96

x=84

y+x=180 ( linear pair angle)

y+84=180

y=180-84

y=96

now the y, z,40 are triangle.

y+z+40=180( by sum of all angle)

96+z+40=180

z+136=180

z=180-136

z=44

Step-by-step explanation:

volume of cube = a ³= 5³= 125 cm³

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hope this will be helpful to you .

Answer:125

Step-by-step explanation:

Answer:

216 square km

Step-by-step explanation:

24 x 18 / 2 =

432 / 2 =

216 km square

Hope that helps!

Answer:

225 [tex]km^{2}[/tex]

Step-by-step explanation:

Answer: Option 2

Step-by-step explanation:

Answer:

I think 7 quarts is just trying to help ya out ;)

Step-by-step explanation:

Answer:

7 quarts

Step-by-step explanation:218 fluid ounces=6.8125 quarts

Thats why 7 quarts is grater

Answer:

Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.

Let A = number of hours first mechanic worked (the one who charged $45/hour)

Let B = number of hours second mechanic worked (the one who charged $105/hour)

From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:

Equation 1: A hours + B hours = 35 hours

We also know that in total, the charge was $2475.  So the second equation is:

Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars

So our two equations are:

1: A + B = 35

2: 45A + 105B = 2475

Multiply both sides of the first equation by -45 to get the following:

-45A - 45B = -1575

Now the two equations are:

1: -45A - 45B = -1575

2: 45A + 105B = 2475

Add them together and the "A" term drops out:

-45B + 105B = -1575 + 2475

or

60B = 900

Now divide both sides by 60:

B = 15

Now plug B = 15 into the first equation:

A + 15 = 35 thus A = 20

So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours

Check: 20x45 + 15x105 = 900 + 1575 = 2475

Step-by-step explanation:

hope it helps you (:

Answer:

4 minutes

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

Area of parallelogram = 75 sq.cm

base * height = 75

12.5 * height = 75

          height = 75÷ 12.5

height = 6 cm

Answer:

x=97° a=97° b=97°

Step-by-step explanation:

83°+a=180° (by linear pair)

a=180°- 83°

a=97

and a=x°(by corresponding angle)

x= 97°

x=b(by vertical opposite angle)

b = 97°

Answer:

I just took this I'm bouts to go on break.... will have the answer

Answer:

[tex](\frac{1}{6}) ^{th}[/tex] of area

Step-by-step explanation:

Area occupied by Himalayan panda = [tex]\frac{2}{4}^{th}[/tex]  of area

Area occupied by Giant Panda = [tex]\frac{1}{6} ^{th}[/tex] of area

Area occupied by Albino panda = [tex]=\frac{2}{12} ^{th}[/tex]of area

Area occupied by brown Panda = [tex](1-\frac{2}{4}-\frac{1}{6}-\frac{2}{12}) ^{th}[/tex] of area

= [tex](\frac{12-6-2-2}{12} )^{th}[/tex] of area

= [tex](\frac{2}{12}) ^{th}[/tex]of area

= [tex](\frac{1}{6}) ^{th}[/tex] of area

Answer: 3/8

Step-by-step explanation: 3/8 is the answer

Answer:

4

Step-by-step explanation:

Answer:

its 4 u should know this LOLLLL

Step-by-step explanation:

Answer:

True

(Angle-Side-Angle)

The triangles shown below must be congruent is a True Statement.

We have two Triangles in which

There are three angles Congruent in both Triangles.

Also, the side of the triangle is congreunt.

As we know that there is no Criteria which as congruency rule AAA Criteria.

So, we can take two Congruent angles and one Congruent side.

Thus, the statement is True.

Learn more about Congruency here:

https://brainly.com/question/7888063

#SPJ7

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

Answer:

5/10

Step-by-step explanation:

2 x 5 = 10

you will do the same thing to the top

1 x 5 = 5

so 5/10 = 1/2

Answer:

Step-by-step explanation:

5x = 3x+18

2x = 18

x = 9°

2y = 10

y = 5

Answer:1 13/20

Step-by-step explanation:

i took the test and it was correct pls check out my yt channel its hailey Azbell

Answer:

i have done it (*_*)

add them together then you should get 180 add 16 into it which should giver you 196 then divide by 4 which should give you 14.