One pair of base angles of an isosceles trapezoid each have a measure of 2(x–10)°. The other pair of base angles of the trapezoid each have a measure of (4x+8)°. What is the value of x?

The coordinates of the vertices of the square with height x is given as follows:

A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.

The side length of the square in this problem is given as follows:

x.

As the height is equals to the base.

The vertex J represents the origin, hence it has coordinates given as follows:

J(0,0).

Then the remaining coordinates of the square are given as follows:

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Answer:

very long question

Step-by-step explanation:

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation:

The prices of the drum that will reach over $6500 are between $3 and $8

And the inequality expression is (50 + 4x) (120 - 5x) > 6500

From the question, we have the following parameters that can be used in our computation:

Number of models = 50

Initial price = $120

Also from the question, we have:

So, we have

Models = 50 + 4x

Price = 120 - 5x

This means that the revenue function is

R(x) = (50 + 4x) *  (120 - 5x)

When the price reaches over $6500, we have

(50 + 4x) *  (120 - 5x) > 6500

Using a graphing calculator, we have

2.911 <x < 8.5

Approximate

3 ≤ x ≤ 8

Hence, the model reaches $6500 between 3 and 8

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Answer: 3/4 is right

Step-by-step explanation:

Length of fence = Circumference of the pool – width of the gate. Length of fence = 6.28x – 150 cm.

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Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

The number of tennis ball  fit in the machine are 305 balls.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

given dimensions of  machine 15 x 15 x 14

volume of machine is 15 x 15 x 14 = 3150 cubic inches

and shape of ball is spherical,

with dia = 2.7 inches

radius of ball = 2.7/2 = 1.35 inches

volume of sphere is 4/3πr³

V = 4/3πr³

V = 4/3(3.14)(1.35)³

V = 4/3(3.14)(2.46)

V = 10.30 cubic inches

the area covered by 1 ball is 10.30 cubic inches

the number of ball in machine is 3150/10.30

the number of ball in machine  = 305.82 = 305 approx

Hence  305 balls can be fit in machine.

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Answer:

  (b)  No solution

Step-by-step explanation:

You want the solution to 0.5(-2+ 4d) - 2d = -13.

Eliminating the parentheses using the distributive property, we have ...

  -1 +2d -2d = -13

Collecting terms gives ...

  -1 = -13 . . . . . false

No value of d will make this true. There is No Solution.

Answer: 18.1666666667

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can u give more detail as to what the question is asking pease

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Work Shown:

a = old price = 5000

b = new price = 2800

c = change in price

c = b-a

c = 2800-5000

c = -2200

The value of c is negative to indicate a price decrease.

d = percent change

d = (c/a)*100%

d = (-2200/5000)*100%

d = -44%

There is a 44% decrease or discount.

Answer:

x^2 - 2 /3 (x+3)

Step-by-step explanation:

The table is filled as described , shown below.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, we have,

Rate per hour is $11.25

Number of regular hours is 40

Payment for regular hours:

time multiply with payment=

40*$11.25 = $450

Again, we have,

Rate per overtime hour:

$11.25*1.5 = $16.875 ≈ $16.88 (rounded up)

Number of overtime hours:

48.5 - 40 = 8.5

Payment for overtime hours:

$16.88*8.5 = $143.48

Now, we get ,

Gross payment is the sum of regular and overtime payments:

$450 + $143.48 = $593.48

Hence, he would get $593.48

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Answer:

y - 1 = 3/2 (x + 10)

Step-by-step explanation:

Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.

Here is Point-slope equation:

y - Y = m(x - X)

Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.

The slope given is 3/2, fill that in for m.

y - Y = m(x - X)

y - 1 = 3/2 (x - -10)

y - 1 = 3/2 (x + 10)

The equation is

y - 1 = 3/2 (x + 10)

Answer:

Mean - 6.2  Median - 7  Mode - 9

Step-by-step explanation:

You can find the mean by adding all the given numbers and dividing them by how many numbers you added.

The median is the middle value of the set of numbers, order them from least to greatest and find the middle value.

Mode is the number that occurs the most.

Answer:

75%

Step-by-step explanation:

To find the percent of change that Target marks the shoes up for, you need to calculate the difference between the cost of the shoes to Target and the price at which they sell it to the public, and then divide that difference by the cost of the shoes to Target. Finally, you need to multiply the result by 100 to express the answer as a percentage.

Using this formula, the percent of change that Target marks the shoes up for is:

(35 - 20) / 20 * 100 = 15 / 20 * 100 = 0.75 * 100 = 75%

This means that Target marks the shoes up by 75% of their cost.

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The equation of the line that passes through (-3, 1) and (2, -2) is given as,

(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)

y + 2 = - (3/5)x + 6/5

y = -(3/5)x - 4/5

The equation of the line that passes through (2, -2) and (4, 3) is given as,

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

y + 2 = (5/2)x - 5

y = (5/2)x - 7

The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.

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Answer:

m∠5+m∠6=180°

m∠2+m∠3=m∠6

m∠2+m∠3+m∠5=180°

Step-by-step explanation:

Verify each option

case A) we have

m∠5+m∠3=m∠4 ----> equation A

we know that

m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

substitute equation B in equation A

m∠5+m∠3=180°-m∠3

m∠5+m∠3+m∠3=180°

This equation is true when m∠2=m∠3

Therefore Is not always true

case B) we have

m∠3+m∠4+m∠5=180° ----> equation A

we know that

m∠3+m∠4=180° -----> by supplementary angles

m∠4=180°-m∠3 ----> equation B

substitute equation B in equation A

m∠3+(180°-m∠3)+m∠5=180°

m∠5=0°

This option is not true

case C) we have

m∠5+m∠6=180°

we know that

m∠5 and +m∠6 are supplementary angles

so

Their sum is always 180 degrees

Therefore this option is always true

case D) we have

m∠2+m∠3=m∠6 -----> equation A

we know that

m∠5+m∠6=180° ----> by supplementary angles

m∠6=180°-m∠5 ----> equation B

substitute equation B in equation A

m∠2+m∠3=180°-m∠5

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

Therefore this option is always true

case E) we have

m∠2+m∠3+m∠5=180°

Remember that the sum of the interior angles of a triangle must be equal 180 degrees

This option is always true

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The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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Answer:

-3w2-11w-3

Step-by-step explanation:

take w2 and w as variables. you can substitute it as w2=y and w=X then expand brackets

2y-8x-8-5y-3x+5

note that the signed changed at the second part because it was expanded with the minus sign which is basically like -1, so it changes the signs

then you collect like terms:

2y-5y-8x-3x-8+5= -3y-11x-3

now put substitute back w2=y and w=X

-3w2-11w-3

if it won't be a problem solving with w2 and w, then you skip the substitution part and solve the same

Answer:

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

students/adults = 9/7

You can then cross-multiply to find the value of "students":

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

To determine the number of students at the open house, you can use the fact that the ratio of students to adults is 9:7 and set up the following proportion:

Copy code

students/adults = 9/7

You can then cross-multiply to find the value of "students":

Copy code

7 * students = 9 * adults

7 * students = 9 * (832/(9+7))

7 * students = 832

students = 832 / 7

students = approximately 118.85714285714 students

Since the number of students must be an integer, the number of students at the open house is approximately 118 students.

Step-by-step explanation:

Answer:

The one with the vertex of (-4,4)

Step-by-step explanation:

Answer:

  y = x² -6x +12

Step-by-step explanation:

You want the quadratic equation Y=(x-3)^2+3 written in standard form.

Depending on where you go to school, the given equation may already be in standard form.

Other places, standard form means the equation is simplified and terms are written in order of decreasing degree.

  y = (x -3)² +3 = (x² -6x +9) +3

  y = x² -6x +12

Answer:

3.95 + 0.50 + 4.50 × 2 = 13.45

13.45 × x = 124.70

x = 9

Therefore, she can make 9 shirts.

Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

Numerical order can be used to organise a set of numbers. It is possible to use both increasing and decreasing ordering. Consider how a set of numbers would seem if they were organized in ascending order like 2, 55, 103, 256, and 802, for example. This can make sorting through a huge collection of numbers much easier.

Here,

Given : 2.5, -6, -3, 4, -2.2, 1/4, -1/2, 2 1/3

To put them according to ascending order :

So ,

negative terms are the smallest compare to positive terms as their values are lower than 0.

thus,

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4

Therefore , the solution to the given problem of order comes out to be

-6< -3< -2.2 < -1/2 < 1/4 < 2[tex]\frac{1}{3}[/tex] < 2.5 < 4.

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Answer:

Step-by-step explanation:

1/16=64^4x-3

1/4^2=(4^3)^4x-3

4^-2=(4^3)^4x-3

4^-2=4^3*(4x-3)

Since the bases are equal (to 4), the exponents must be equal to each other.

-2=3*(4x-3)

-2=12x-9

-2+9=12x

7=12x

7/12=x

x=7/12

So the answer is x=7/12

The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].

Given data :

4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)

Add similar elements

= 7[tex]\sqrt[5]{x^{2} y}[/tex].

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