Use two different methods to find and explain a formula for the area of a trapezoid
that has parallel sides of length a and b and height h. Consider these ideas or others: (a)
Combine two copies of the trapezoid to make a parallelogram. (b) Subdivide the trapezoid
into two triangles, one with base b and one with base a.

Answer:

f = -7

Step-by-step explanation:

1 + 8f = -6 + 7f

Add 6 on both sides

7 + 8f = 7f

Subtract 8f on both sides

7 = -1f

Divide by -1 to make f positive

f = -7

Answer: The answer to your question is 83.9

(When rounded, the answer is 84)

Answer:

Step-by-step explanation: All you have to do would just separate the bread into groups of 2, and then count how many groups you have, and that would give you the answer.

the solution is (2,2)

step by step explanation:

y=-1/2x+3 : go up 3 on the y-axis, then go down 1 and the the right 2 and repeat.

y=2x-2 : go down 2 the y-axis, then got up 2 and to the right 1 and repeat.

where ever point the two linear lines intersect in the solution point.

The equation of the new parabola, that is, the image of the parabola f(x) = x² is g(x) = - (1 / 8) · x².

In this problem we must determine the image of the parabola f(x) = x², which is the result of a sequence of two rigid transformations: (i) Reflection across the x-axis, (ii) Dilation. Each kind of rigid transformation is described below:

Reflection across the x-axis

f'(x) = - f(x)

Dilation

g(x) = k · f'(x), where k is the scale factor.

Now we proceed to determine the equation of the new parabola:

Step 0

f(x) = x²

Step 1

f'(x) = - x²

Step 2

g(x) = - (1 / 8) · x²

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Answer:

Its b

Step-by-step explanation:

The required value of x for a given isosceles triangle is 16.

What is an isosceles triangle?

A triangle with two sides that have the same length is said to be an isosceles. When two sides of an isosceles triangle are equal, the angles across from those two sides likewise match up and are always equal.

Given that, the isosceles triangle then

two angles are equal

So, (5x-7)° = (8x-55)°

or, 8x - 5x = 55-7

or, 3x = 48

or, x = 48/3 = 16

Hence, the required value of x is 16.

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Answer:80

Step-by-step explanation:

The triangle is a not right triangle because it does not follow the Pythagoras theorem

From the question, we have the figure that represents the parameter that can be used in our computation:

The sides of the triangles are

6, 8 and 9

For a triangle to be a right triangle, the side lengths must follow the Pythagoras theorem

The Pythagoras theorem states that

Longest side² = Sum of the squares of the other sides

So, we have

9² = 6² + 8²

Evaluate

81 = 100

The above equation is false

Hence, the triangle is not a right triangle

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Answer:

False

Step-by-step Explanation:

15:20=5×3 5×4 =3 4=3:4 So it is not equivalent to 4 : 5.

Answer:

this my alt account

Step-by-step explanation:

Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units

The perimeter is calculated by summing the sides

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2

(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2

(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10

(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3

(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5

The perimeter = 2 + 2√2 + √10 + 3 + 5

The perimeter = 15.9907

The perimeter = 16.0 units

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For the given equation, [tex](x-7)2=36[/tex] the value for [tex]x=25[/tex].

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations.

A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The equation's solution is the amount of the variable for which the condition is met.

Initially, the equation [tex](x-7)2=36[/tex] must be made simplified to find [tex]x[/tex].

[tex](x-7)2=36[/tex]

By using distributive law,

⇒ [tex](x-7)2=36[/tex]

⇒ [tex]2x-14=36[/tex]

Now add 14 on both sides,

⇒ [tex]2x-14+14 =36+14[/tex]

⇒ [tex]2x =36+14[/tex]

⇒ [tex]2x =50[/tex]

As the next step, divide both sides by 2,

⇒ [tex]\frac{2x }{2} =\frac{50}{2}[/tex]

⇒ [tex]x=25[/tex]

Therefore, after solving the equation step-by-step, [tex]x=25[/tex].

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Answer:

18 liters of 41% alcohol and 12 liters of 11% alcohol.

Step-by-step explanation:

.41x + .11(30-x) = .29(30)  I am going the clear the decimal by multiply all the way through by 100

41x + 11(30 -x ) = 29(30)

41x + 330 -11x = 875  Combine like terms

30x +330 = 875  Subtract 330 from both sides

30x = 540  Dived both sides by 30

x = 18

30 - 18 = 12

Amount        Percent         Total

x                    .41                  .41x

30 - x            .11                  .11(30 - x)

30                  .29                .29(30)

Look at the total column

.41x + .11(30-x) = .29(30)

Answer:

52 = 13h

Step-by-step explanation:

The cost of sheet metal per square​ foot is $20.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The general equation of a straight line is -

y = mx + c

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

We have a contractor bought 10.8 ft² of sheet metal. He has used 2.3 ft² so far and has ​$170 worth of sheet metal remaining.

The equation 10.8x − 2.3x = 170 represents how much sheet metal is remaining and the cost of the remaining amount.

We have the following equation -

10.8x − 2.3x = 170

8.5x = 170

x = 170/8.5

x = 20

Therefore, the cost of sheet metal per square​ foot is $20.

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Answer:

$19,760 per year

$1,520 per month

Step-by-step explanation:

There are 4 weeks in 1 month, so multiply $380 by 4:

380 x 4 = $1,520 per month.

1 year = 52 weeks:

380 x 52 = $19,760 per year.

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Answer:

Step-by-step explanation:

t says that's 4 units distant from the another vertex. So, if a square is formed by 4 equal sides and 4 right angles, then you just have to add 4 units on x or y.

-> (2, 1) -> + 4 units on X

-> = (6, 1)

or

-> (2, 1) -> +4 units on Y

-> = (2, 5)

(2, 5) isn't an answer so the unique possible answer is (6, 1)

Answer: (6, 1)

Answer:

Step-by-step explanation:

D

The value of angle RPQ in the circle is 115 degrees.

Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

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Answer: 115 degrees

Step-by-step explanation:∠

RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

Answer:

A=11

Step-by-step explanation:

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Recall properties of symmetry:

Using the properties we can state that:

Step-by-step explanation:

6.25 points

Find the GCF for the list.

10m4, 40m⁹

10m5

40m4

10m4

6.25 points

list

For the two sets F = {v | v < 4} and H = {v | v ≥ 7}, F∩H = Ф and

F∪H = {v | v ∈ R} - {4, 5, 6}.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given, Are two sets F = {v | v < 4} and H = {v | v ≥ 7}.

Now, F∩H are those elements of the sets that are common to both here none of the elements are coom so F∩H is Ф.

F∪H are those elements that are either in F or in H or in both.

∴ F∪H = {v | v < 4 or v ≥ 7} Or  F∪H = {v | v ∈ R} - {4, 5, 6}

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Answer:

-------------------------

Given system:

We see constants are same with opposite sign.

To make them same multiply both sides of the second equation by -1:

Now we have two equations with same left sides but different right sides:

This is false and hence the system has no solution.

15.2 gallons of gasoline will cost:

15.2 * 2.75 =$41.8

9.5 gallons of diesel will cost:

9.5 * 3.02= $28.69.

The total amont Grabiel will spend on gasoline and diesel:

$41.8 +28.69= $70.49

Answer:

8

Step-by-step explanation:

2.75x8=22

or

22.00÷2.75=8

(not sure)

The average monthly payment made by the customer is $638.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The cost of Sedan for three years is $22,968.

The time in months can be calculated as,

3 × 12 = 36 months

The average payment per month can be found by dividing the total amount by total number of months as follows,

Average monthly payment = 22968/36

                                            = 638

Hence, the average monthly payment made by a customer in the  interest-free period is $638.

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We need to figure out what is given in the question.

Given:

[tex]3(n + 4)[/tex]

Options:

---------------------

[tex]3n + 4\\3n−12\\12 + n + n + n\\2n + 12 + n[/tex]

---------------------

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Answer:

[tex]2n + 12 + n = 3n + 12 = 3(n + 4)[/tex]

Therefore, the correct options are 12 +n+n+n and 2n + 12+n

Answer:

a. 31/6; 33/6; 35/6

b. + 2/6

c. 37/6; 39/6; 41/6

d. 49/6

Step-by-step explanation:

First we need to find the first three terms.

To do so solve the equations in the boxes.

When dividing by a fraction you multiply by the reciprocal so the equations are now as follows:

2 * 31/12

3 * 11/6

5 * 7/6

Solve these to get

62/12 = 31/6

33/6

35/6

The term to term rule as shown above is adding 2/6 or 1/3.

To find the next three terms in the sequence add 2/6 to the term.

35/6 + 2/6 = 37/6

37/6 + 2/6 = 39/6

39/6 + 2/6 = 41/6.

To find the 10th term you need to write out the arithmetic sequence equation.

an = a1 + (n-1)d

an is the term you want to find and n is the term number in this case that is 10. D is the common difference which in this case is 2/6. Plug these into the equation. A1 is the first term in the equation which in this case is 31/6.

31/6 + (10-1) 2/6

31/6 + (9)2/6

31/6 + 18/6 = 49/6