Which of the following best describes the slope of the line below ?
A) Undefined
B) Positive
C) Negative
D) Zero ​

Answer:

20 divided by 10 is 2 so for every 2 miles it travels it uses 1 gallon of gasoline. 20 + 14 is 34 so you divide 14 by 2 to get 7. then you add 10+7 to get 17. it will take 17 gallons of gasoline to go 34 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

$19 increase is about 31%

62*31%= 19.22

30% increase is $18.60 increase

Answer:

9

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

he gave away 9 (20 x (3/7) =9) so 21-9=12

Answer:

is 5

Step-by-step explanation:m

..

Answer:

supplementary

vertical angles

sub

Step-by-step explanation:

The missing reasons for the given two column proof are respectively;

Reason 2; Definition of Supplementary angles

Reason 3; Substitution Property of Equality

Reason 4;Subtraction Property of Equality

From the two column proof, we are given that;

m∠2 = m∠3

Now, for m∠1 + m∠2 = 180°, we see that m∠1 and m∠2 are on a straight line and we know that angles on a straight line sum up to 180°. Thus, the reason is because they are supplementary angles.

Similarly, m∠3 and m∠4 are on a straight line and as such;

m∠3 + m∠4 = 180°

m∠1 + m∠2 = m∠3 + m∠4. This is true because of substitution property of equality.

Lastly, since m∠2 = m∠3, then it means that they will cancel out in the statement 3 and as such we now have;

m∠1 = m∠4. The reason is subtraction property of equality

Read more about two column proof at; https://brainly.com/question/1788884

Answer: The sum of the exterior angles of a 54-gon should be 360°.

Step-by-step explanation:

A polygon is a closed figure made up of straight lines like triangle (3-gon) , quadrilateral (4-gon) , square(4-gon), pentagon (5-gon) , octagon(8-gon) etc.

The sum of exterior angles of any polygon with n sides ( or n-gon ) is always 360 degrees.

A 54-gon is a polygon with 54 sides.

Therefore , the sum of the exterior angles of a 54-gon should be 360°.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols.

Answer:

y^2 + 7y - 8

Step-by-step explanation:

(y + 8)(y - 1)

y^2 -1y + 8y - 8

y^2 +7y - 8

Answer:

y²+7y-8

Explanation:

y times y equals y²

y times -1 equals -1y

8 times y equals 8y

8 times -1 equals -8

-1y combines with 8y to make 7y

Put all values in decreasing order

Answer:

Shown in Step-By-Step, written in bold text.

Step-by-step explanation:

16) x : 1      y: -3

         2          0

         3          9

3x - 6

3(1) - 6 = -3

3(2) - 6 = 0

3(3) - 6 = 9

17) x: 1        y: -10

        2           -12

        3           -14

-2(x + 4) = -2x - 8

-2(1) - 8 = -10

-2(2) - 8 = -12

-(3) - 8 = -14

Answer:

-7<-3

Step-by-step explanation:

T=-7

R=-3

Answer:

The absolute maximum value of f on [-2, 4] occurs at x = 4.

Step-by-step explanation:

We know that the absolute maximum value of f(x) on this interval will occur at either a critical point or an endpoint. The critical points are any point where f'(x) is either equal to zero or not defined. Since f is a polynomial, f'(x) = 3x^2 - 6x is always defined, but is equal to zero at x = 0 and x = 2. We can check the value of f(x) at each critical point and endpoint:

f(-2) = -8

f(0) = 12

f(2) = 8

f(4) = 28

Therefore, f has an absolute maximum value of 28 on the closed interval [-2, 4], which occurs when x = 4.

Answer:

300

Step-by-step explanation:

This is a place value problem.

 The given figure is;

                14, 397:

Pronounced as;

Fourteen thousand, three hundred and ninety seven:

          14, 397;

                     10 000     ten thousand

                       4000      four thousand

                          300      three hundred

                            90       ninety

                              7         seven

The place value of 3 is hundreds.

Answer:

kjjhgyufg

Step-by-step explanation:

Answer: 14 days

Step-by-step explanation:

352/24= 14.66666667

So it can feed her dog for 14 full days

Answer:

dont understand you if i did i would have helped

Step-by-step explanation:

Answer: pls see photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

200 by 50% is 100 so half of that agin would be your answer of 50

Answer:

46.6%

Step-by-step explanation:

7/15 = x/100

Cross multiply, so the equation equals 15x = 700.

700 divided by 15 = 46.6

Answer:

sooo Step 1: Make sure that the the number of columns in the 1st one equals the number of rows in the 2nd one. ...

Step 2: Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.

Step 3: Add the products.

hope I helped u

Answer:

RST is an isosceles triangle

Step-by-step explanation:.

Required

Determine what type of triangle, is RST.

First, we need to determine the angles in RST

Angle on a straight line is 180°.

So, if <mTS = 130°

Then,

<STR = 180° - 130°

<STR = 50°

Similarly,

<TSR = 180° - 130°

<TSR = 50°

The sum of angles in a triangle is 180°.

So:

<TSR + <STR + <TRS = 180°

50 + 50 + <TSR = 180°

100 + <TSR = 180°

<TSR = 180° - 100°

<TSR = 80°

Hence, the three angles of the triangle are: 50°, 50° and 80°

When just two angles of a triangle are equal; such triangle is referred to as an isosceles triangle

Hence, option A answers the question.

Answer:

D) they gave the world an example of ideal beauty.

Step-by-step explanation:

In the passage, it talks about the Parthenon being made out of beautiful marble, with the first light of morning. However, the first light of morning is not the answer, as that is just a detail in the passage.

Answer:

73, 66, 59

Step-by-step explanation:

Each number has a value of 7 difference

Answer:

73, 66, 59

Step-by-step explanation:

Answer:

You will need to invest $24,867.52 at the beginning to reach the future value of $30,000.00.

Step-by-step explanation:

a) Data and Calculations:

Future value for the purchase of a car = $30,000

Interest rate = 4.7%

Monthly interest = 0.39167% (4.7%/12)

Period of interest = 48 months (12 * 4)

FV (Future Value) $30,000

PV (Present Value) $24,867.52

N (Number of Periods) 48.000

I/Y (Interest Rate) 0.392%

PMT (Periodic Payment) $0.00

Starting Investment $24,867.52

Total Principal $24,867.52

Total Interest $5,132.48

Answer:

A) 25

B) 4

C) 0.25

Thank you and please rate me as brainliest as it will help me to level up

Answer:

The y intercept is 100. that means she needs to pay a $100 base fee for the rental.

Answer:

[tex]k = 5[/tex]

Step-by-step explanation:

Given

[tex]g(x) = f(x) + k[/tex]

Required

Determine the value of k

First, we need to determine the equation of g(x)

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where x and y are two corresponding values:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (0,-3)[/tex]

The slope (m) is:

[tex]m = \frac{-3- 1}{0 - 1}[/tex]

[tex]m = \frac{-4}{- 1}[/tex]

[tex]m = 4[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 4[/tex] and [tex](x_1,y_1) = (1,1)[/tex]

[tex]y - 1 = 4(x - 1)[/tex]

[tex]y - 1 = 4x - 4[/tex]

Make y the subject of formula

[tex]y = 4x - 4 + 1[/tex]

[tex]y = 4x - 3[/tex]

So:

[tex]f(x) = 4x - 3[/tex]

Next, we determine the equation of f(x)

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where x and y are two corresponding values:

[tex](x_1,y_1) = (-1,-2)[/tex]

[tex](x_2,y_2) = (0,2)[/tex]

The slope (m) is:

[tex]m = \frac{2- (-2)}{0 - (-1)}[/tex]

[tex]m = \frac{2+2}{0+1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 4[/tex] and [tex](x_1,y_1) = (-1,-2)[/tex]

[tex]y - (-2) = 4(x - (-1))[/tex]

[tex]y + 2 = 4(x +1)[/tex]

[tex]y + 2 = 4x +4[/tex]

Make y the subject of formula

[tex]y = 4x + 4 - 2[/tex]

[tex]y = 4x + 2[/tex]

So:

[tex]g(x) = 4x + 2[/tex]

Recall that

[tex]g(x) = f(x) + k[/tex]

Make k the subject

[tex]k = g(x) - f(x)[/tex]

Substitute values for g(x) and f(x)

[tex]k = 4x + 2 - (4x - 3)[/tex]

[tex]k = 4x + 2 - 4x + 3[/tex]

[tex]k = 4x - 4x+ 2 + 3[/tex]

[tex]k = 5[/tex]

The transformation that maps f into g is a translation transformation,

involving the addition of k to the value of f(x).

Reasons:

Points on the graph of g(x) are; (0, -3) and (0, 1)

[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ g(x)} =\dfrac{-3 - 1}{0 - 1} = 4[/tex]

The equation of g(x) is; y - (-3) = 4·x, which gives;

y = 4·x - 3

The y-intercept = -3

Points on the graph of f(x) are; (-1 -2) and (0, 2)

[tex]\mathrm{The \ slope \ of \ the \ graph \ of \ f(x)} =\dfrac{-2 - 2}{-1 - 0} = 4[/tex]

The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;

y = 4·x + 4 - 2 = 4·x + 2

The y-intercept = 2

The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)

The difference or the transformation that takes the y-intercept of f(x) to the

y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5

Therefore, k = -5

Which gives;

g(x) = f(x) - 5

The value of k that transforms f into g is; k = -5

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https://brainly.com/question/23570234

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Given: ∠XAM = ∠YBM = 90°    and     AM = BM

To prove: BX ≅ AY

Proof:

In the triangle XAM and BYM:

From the ASA rule of congruency, we can say that: ΔXAM ≅ ΔYBM

Since ΔXAM ≅ ΔYBM: We can say that XM ≅ MY     [CPCT - Common Part of Congruent triangles]

In the Triangle AMY and XMB:

From the SAS rule of congruency, we can say that: ΔAMY ≅ ΔXMB

Since ΔAMY ≅ ΔXMB: We can finally say that BX ≅ AY    [CPCT]

Hence Proved!