Use the diagram to fill in the blanks
x=
m∠=

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Answer:

1

Step-by-step explanation:

y-intercept: the point where the line and the y-axis intersect

Answer:

y-intercept =1

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis.

Answer:

Select a card from a set of cards with the letters A through D, then spin this once.

Spin this and roll an 8-sided number cube with the digits 1 to 8.

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Ernesto bought the ceramic vase for $56 including 12% tax.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A ceramic vase was originally priced at $100 but went on sale for 50% off.

∴ The discounted price is (50/100)×100 = $50.

Now after Ernesto bought the ceramic vase he had to pay a tax of 12%.

∴ {(100 + 12)/100}×50.

= (112/100)×50.

= 56.

So he paid $56 including 12% tax.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

Answer:

<DEC and <IHJ

Step-by-step explanation:

Alternate exterior angles are angles on the other side of a transveral and on the exterior area.

Answer:

7, 12, 13

Step-by-step explanation:

Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the  answer.

a^2 + b^2 = c^2

A.

a^2 + b^2 = 18^2 + 80^2 = 6724

c^2 = 82^2 = 6724

Right triangle.

B.

a^2 + b^2 = 7^2 + 12^2 = 193

c^2 = 13^2 = 169

Not a right triangle.

C.

a^2 + b^2 = 3^2 + 4^2 = 25

c^2 = 5^2 = 25

Right triangle.

D.

a^2 + b^2 = 45^2 + 60^2 = 5625

c^2 = 75^2 = 5625

Right triangle.

Answer: 7, 12, 13

Answer:

Step-by-step explanation:

x^2 - 17x - 60

(x - 20)(x + 3)

x^2 + 3x - 20x - 60

x^2 - 17x - 60

(x + 20) is not one of the factors

using F.O.I.L., it would have been

x^2 + 17x - 60

Answer:

0.2 I think

Step-by-step explanation:

7x6=42

35÷42=0.2

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]

[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]

[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]

Now

[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]

[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]

[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.

Answer:

Step-by-step explanation:

I think it could be D

Sorry if not correct

Answer:

You are? so am I

Step-by-step explanation:

Answer:

1. 49, 2. 245

Step-by-step explanation:

Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days

Answer:

C) 297 cm²

Step-by-step explanation:

1/2(22)(27)=297

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Answer:

1 pair

Step-by-step explanation:

The top and bottom sides can go forever without crossing

Answer:

1

Step-by-step explanation: because the top and bottom a pair

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

Answer:

an arithmetic sequence

Step-by-step explanation:

I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values