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lora16 [44]
3 years ago
6

Anna has decided to purchase a small car with a small gas tank. If x represents the number of miles driven, which linear functio

n would best ESTIMATE the gas in Anna's tank as she drives? A) y = 20 - 0.05x B) y = 25 - 0.05x C) y = 12 + 0.05x D) y = 10 - 0.05x
Mathematics
2 answers:
svlad2 [7]3 years ago
5 0

The correct answer to this is y = 10 - 0.05x which is D.

kirill115 [55]3 years ago
3 0

Answer:

10 - 0.05x

Step-by-step explanation:

Suppose

Amount of gas in gallons that car has initially=  A

Miles drove by Anna= x

total Gas consumed per mile = 0.05 gallon

Now the amount of gas left can be calculated as

Gas Left = Initial Amount - (gallons consumed per miles)(miles traveled)

Gas Left = A - 0.05x

Now placing the value of initial amount of gas (A) present in the car tank one can calculate the actual formula.

Suppose if the car had initially 10 gallons of gas in the tank, then our final formula is

Gas Left = 10 - 0.05x


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Is point (2,1) on the the line represented by the equation x+2y=5
Sphinxa [80]
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve

x+2y=5
2+2(1)=5
4=5

Since this statement isn't true, then the point doesn't lie on the line

Hope this helps

6 0
3 years ago
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The parent cosine function is transformed to create the function . which graphed function has the same amplitude as function m?
Shkiper50 [21]

Based on the graph given, the option that will show the same amplitude as function m is graph D.

<h3>Which graphed function  is this about?</h3>

The cosine function is seen as:

f(x) = A*cos(kx) + M

And the functions are:

  • A stands for amplitude,
  • k is angular frequency,
  • M is the midline.

When the function is m(x) = -2*cos(x+π).

The absolute value of the amplitude will be 2*|-2| = 4

Therefore, the option that can have the requirement above is graph D.

Learn more about cosine from

brainly.com/question/23563998

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8 0
2 years ago
Can someone help me with this asap please, thanks!
kvv77 [185]

Answer:

Given: r\perp s and t\perp s.

Prove: r\parallel t

Since r\perp s, By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly t\perp s,  it means angles 5, 6, 7 and 8 are 90 degree.

We can say that,

\angle 1\cong \angle 5, \angle 2\cong \angle 6, \angle 3\cong \angle 7 and \angle 4\cong \angle 8

From figure it is noticed that the angle 1 and 5 are corresponding angles.

If two parallel lines are intersected by a transversal, then the corresponding angles are equal.

Since corresponding angles are congruent, therefore the line must be parallel to each other.

Hence proved that r\parallel t.

5 0
3 years ago
Please help me to solve all the questions would appreciate it if its with full working
Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

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  • Alternate Angles are always congruent, and
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Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

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2 years ago
To be a vertical angle, the angles have to be next to each other. <br> A. True<br> B. False
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False, vertical angles are not next to each other but opposite of each other
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