If lines L and M are parallel in the given diagram and angle 5 is 132°, what is the measure of angle 3?

The price per gallon of gasoline is the cost of one gallon of gasoline which can be obtained by dividing the cost by the number gasoline purchased. Hence, the price per gallon of gasoline ls $1.15

Amount of gasoline purchased = 6 gallons

Total cost = $6.89

The price per gallon of gasoline can be calculated thus :

Price per gallon = $6.89 ÷ 6 = $1.148

Therefore, the price per gallon of gasoline ls $1.15 (rounded to the nearest tenth)

Learn more : https://brainly.com/question/18109354

Answer:  

translation 3 units down then a reflection across x-axis

Step-by-step explanation:

In the given figure, we can see that Δ ABC is vertically 3 units away from the x axis .

So we translate  Δ ABC by 3 units down and then reflect it across x axis to get ΔDEF.

the actual right answer is c.

ANSWER

The length of the altitude is [tex]3\sqrt{3}[/tex] units

EXPLANATION

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is [tex]a[/tex]

Method 1: We can use Pythagoras theorem to find [tex]a[/tex]

[tex]6^2=a^2+3^2[/tex]

[tex]6^2-3^2=a^2[/tex]

[tex]36-9=a^2[/tex]

[tex]27=a^2[/tex]

We take the square root of both sides,

[tex]\sqrt{27}=a[/tex]

[tex]\sqrt{9\times3}=a[/tex]

[tex]\sqrt{9} \times \sqrt{3}=a[/tex]

[tex]3\sqrt{3}=a[/tex]

Method 2 Using Trigonometry

[tex]sin(60\degree)=\frac{a}{6}[/tex]

[tex]6sin(60\degree)=a[/tex]

[tex]a=6\times \frac{\sqrt{3}} {2}[/tex]

[tex]a=3\sqrt{3}[/tex]

Answer: First and third

Step-by-step explanation:

In the given pictures, the first and third picture are representing function  because each input corresponds to exactly one output.

In second and fourth picture one input value corresponds to two output values.

i.e. a corresponds to 25 and 55 and x corresponds to 7 and 5 in output.

Jeff has used 11,000 gallons of water. We find this by subtracting the base charge from the total bill and dividing it by the cost per 1000 gallons.

The water bill that Jeff receives is made up of a base charge of $12.00, plus an additional charge of $1.50 for each 1000 gallons of water used. From the given information, we know that Jeff's bill came to $28.50. To find out how much water Jeff used, we first need to subtract the base charge from the total bill which gives us $16.50. Now we divide this number by the cost per 1000 gallons, which is  $1.50. Therefore, we can say that Jeff used 16.50 ÷ 1.50 = 11 units of water. Since 1 unit refers to 1000 gallons, Jeff has used 11,000 gallons of water.

https://brainly.com/question/13125895

#SPJ2

The measure of L to M on the map is 5.8 cm . The actual distance in kilometers is 2.9km and the drawing distance corresponding to 4.5km is 9 cm.

1.)

The distance between points L and M in the drawing is 5.8 cm

2.)

Using the scale given

1cm on the map represents 50,000 cm on ground

1 cm = 50000

5.8 cm = x cm

x = 5.8 × 50000

x = 290000 cm

converting to kilometers:

100000 cm = 1 km

290000/100000

= 2.9 km

Hence, the distance in kilometers is 2.9 km.

3.)

Given an actual distance of 4.5 km

4.5 km = 450000 cm

1 cm = 50000 cm

x cm = 450000

50000x = 450000

x = 450000/50000

x = 9 cm

The tree diagram shows all the possible outcomes for 2 spins C is correct.

We have given that,

The 3 sections of a game spinner are numbered 1 to 3.

We have to determine, which tree diagram shows all the possible outcomes for 2 spins.

There are 3 options the first time and after that,

There are 3 options for each of those.

So it would be C.

To learn more about the spinner game visit:

https://brainly.com/question/27567805

#SPJ2

Answer:

The average depth of the water will be 0.155 kilometers or 155 meters.

Step-by-step explanation:

The speed at which the tsunami waves travel is [tex]S=356\sqrt{d}[/tex]. Here S is the speed in kilometers per hour and d is the average depth of the water in kilometers.

Now, it is given that the wave travels at the speed of [tex]S=140\rm km/hr[/tex].

So, the average depth of the water will be,

[tex]S=356\sqrt{d}\\140=356\sqrt{d}\\\sqrt{d}=0.393\\d=0.155\rm km[/tex]

Therefore, the average depth of the water will be 0.155 kilometers or 155 meters.

For more details, refer the link:

https://brainly.com/question/14242193?referrer=searchResults

Answer: c

Step-by-step explanation:

0.155 km

The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:

translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.

Therefore, we need to apply a translation first to move the triangle into the correct position.

So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.

Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.

Learn more about Transformation here:

https://brainly.com/question/13801312

#SPJ3