Options
-0
- negative
- undefined
- positive

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°.

Answer: 85% because 1 dime = 10 cent. 10x8=80

80+5=85

85% of 100

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:

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:

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:

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:

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:

A) 25

B) 4

C) 0.25

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

Answer:

kjjhgyufg

Step-by-step explanation:

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!

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

Learn more here:

https://brainly.com/question/23570234

https://brainly.com/question/10049947

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:

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

Answer: pls see photo

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:

73, 66, 59

Step-by-step explanation:

Each number has a value of 7 difference

Answer:

73, 66, 59

Step-by-step explanation:

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

Answer:

is 5

Step-by-step explanation:m

..

Answer:

i need help

Step-by-step explanation:

Answer:

-7<-3

Step-by-step explanation:

T=-7

R=-3

Answer: 14 days

Step-by-step explanation:

352/24= 14.66666667

So it can feed her dog for 14 full days

Answer:

Step-by-step explanation:

$19 increase is about 31%

62*31%= 19.22

30% increase is $18.60 increase

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:

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:

dont understand you if i did i would have helped

Step-by-step explanation:

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: 6.6

Step-by-step explanation:

Ayo!!

First you use the formula SF=N/O. The new is the big triangle. The Old is the small triangle. Next you tick the sides of each triangle. So lets say 4.1 will be 1 tick and 2.2 will be 2 ticks. Now the old triangle is done now to the new triangle. 12.3 is the 1 tick and x is the 2 ticks.

Lets set up the formula. N-/N--= O-/O--= 12.3/x and 4.1/2.2. Now u cross multiply. 4.1x=12.3*2.2=4.1x=27.06. Then you divide 4.1x by 4.1 and 27.06 by 4 aswell. 4.1x divided by 4.1 cancel each other out so you are left with 27.06 divided by 4.1 and that equals 6.6. So the answer is 6.6.

PS: If i did the new and old triangles wrong just reverse them and just do it like I explained it.

Hope this helped! :)

Answer:

6.6

Step-by-step explanation:

i took the test