find the values of x y and z.The answers are in degrees.

Answer:

A, C, E

Step-by-step explanation:

4^10 = 1048576

A: (4^5)^2 = 1048576

C: 4^20 / 4^10 = 1048576

E: (4^2 x 4^3)^2 = 1048576

Equations

It's required to find the value of x that satisfies the conditions of the figure.

We have an equilateral triangle. We know it's equilateral because all of its interior angles have the same measure (look at the tick mark on each angle).

Recall the sum of the interior angles of any triangle is 180°.

If all the interior angles have the same measure, then each angle measures 180/3 = 60°.

One of the angles is assigned an expression of x. We can equate it to 60:

5x - 18 = 60

Adding 18:

5x = 78

Dividing by 5:

x = 78/5

x = 15.6

Answer: I do believe the answer is 15.6. Hope this helps! ^w^

82

Explanation

the average is calculated by dividing the sum of the values in the set by their number.

Step 1

Let

Step 2

apply the equation

so, the answer is 82

The given expression is:

Therefore, the value of the expression is:

3 7/8

.

Given:

Area of a shaded region of a rectangle is given.

Area of the rectangle is twice the area of the triangle given.

Answer:

To find the perimeter of the triangle, you would add p + m + n. To find the area of the triangle you would use (p x m) /2. To find a missing side of the triangle, given that it is a right triangle, you would use p^2 + m^2 = n^2

Answer:

length: 21 cm

width: 16 cm

Step-by-step explanation:

. A rectangle has two lengths and two widths, or two sides that are vertical (up and down) and two sides that are horizontal (left and right)

. In order to find the perimeter we must add up all four side lengths.

. You can find the perimeter of a rectangle by adding the length and the width then multiplying by 2, because there are two of each side length.

P = 2(l+w)

In the question the perimeter is given, which is 74.

We can divide 74 by 2 so that we can find the sum of the length and width.

74/2 = 37

l + w = 37

In the question is states that the length is 5 inches longer than the width.

l = (5 + w)

There are two widths and two lengths in a rectangle, the measurement of the two lengths is 5 inches longer than the two widths.

5 + w + w = 37

5 + 2w = 37

Now that we have our equation we can solve for w, or the width.

1. Move the term containing the variable to the left

5 + 2w = 37

2w + 5 = 37

2. Subtract 5 from both sides of the equation, the opposite of adding 5

2w + 5 = 37

2w + 5 - 5 = 37 - 5

2w = 32

3. Divide by 2 in both sides of the equation, the opposite of multiplying 2

2w = 32

2w/2 = 32/2

4. Cancel out the 2s on the left, but leave the x

2w/2 = 32/2

w = 16

So, now that w, or the width = 16, we can find the length:

l = 5 + w

l = 5 + 16

l = 21

You can check your answer by plugging in our values into the original perimeter formula:

P = 2(l+w)

P = 2(21 + 16)

P = 2(37)

P = 74, so my answer is correct, because 74 is the perimeter given in the question.

The domain is all the x values included in the function, while the range are all the y values included in the function.

Based on the graph:

Answer:

• Domain:

• Range:

Two lines are parallel is they have the same slope. In this case:

Solving the equation for y, and obtaining the slope-intercept equation for the line equation, we have:

Then,

Let's call the event of a student taking the bus as event A, and the event of a student walking as event B. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes. We have a total of 100 students, where 50 of them take the bus and 10 of them walk. This gives to us the following informations:

The additive property of probability tells us that:

Since our events are mutually exclusive(the student either walks or takes the bus), we have:

Then, our probability is:

The answer is:

Solution:

Given:

Stephanie is correct. Because:

Thus, the proof shows that two pairs of corresponding angles and the included sides are congruent.

The number of people that can attend Jordan's party would be; 50 people.

The equation that represents the total amount that would be spent at the party would be a linear equation. A linear equation increases at a constant rate.

The form of the linear equation will be;

The Total amount = rental fee + (charge per hour of the Dynamic DJ x number of hours he plays) + (cost per person of Roscoe's rentals x number of people)

Now substitute;

$800 = $400 + ($50 x 4) + ($4 x p)

$800 = $400 + $200 + 4p

$800 = $600 + 4p

$800 - $600 = 4p

$200 = 4p

p = $200 / $4

p = 50 people

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Since congruent angles are equal

Therefore the two figures are similar

we have

9 / 9 = 2x / x + 4

introduce cross multiplication

9 (2x) = 9(x + 4)

18x = 9*x + 9*4

18x = 9x + 36

collect the like terms

18x - 9x = 36

9x = 36

divide boths sides by 9

9x / 9 = 36/9

x = 4

The first missing variable is 2x

2 x 4

= 8

The second is x + 4

we have 4 + 4

= 8

m

The ratio of the length to the width that is- length:width = 5:3

Take x as a common value,

5x= length

3x= width

Width of the rectangle= 1500 cm

3x= 1500 cm

x= 1500/3

x= 500 cm

Length of the rectangle= 5x

x=500 cm

Length= 5*500

=2500 cm

Length of the rectangle= 2500 cm

The solution is (x,y) = (0,2)

The height of a parallelogram with an area of 50 square meters and a base length of 5 meters is 10 meters

The word "parallelogram" is a translation of the Greek phrase "parallelogrammon," which means "bounded by parallel lines." As a result, a quadrilateral that is bound by parallel lines is called a parallelogram. It has parallel and equal opposite sides on all sides. Square, rectangle, and rhombus are the three primary varieties of parallelograms, and each one has distinct characteristics. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram. So a quadrilateral with both pairs of opposite sides being parallel and equal is known as a parallelogram.

Various forms of parallelograms can be distinguished from one another based on their unique characteristics. It can be broadly classified into three distinct types:

Area = 50

Base = 5

Area of ║gm = base (height)

50 = 5(X)

x = 10

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The percent of change is​ computed as follows:

Substituting with data:

The first step is to choose one option and rewrite it in the explicit form

I will choose the second option:

Now replace the x points in the equation to verify if it satisfies their respective value in y

For x=3

For x=3 satisfy y=3

Now x=6

For x=6 satisfy y=5

So the answer is b.

Answer:

  (d)  b = 7

Step-by-step explanation:

You want the solution to b³ = 343.

The equation can be written in standard form and factored according to the factoring of the difference of cubes:

  b³ -343 = 0

  (b -7)(b² +7b +49) = 0

The solutions to this are the values of b that make the factors 0.

  b -7 = 0   ⇒   b = 7

  b² +7b +49 = 0   ⇒   b = -3.5 ± i√36.75 . . . . . complex solutions

The one real solution to the equation is b = 7.

__

Additional comment

Every cubic has 3 solutions. Here, two of them are complex. When the only terms in the equation are the cubic term and the constant, there will always be only one real root.

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The equation b^3 = 343 has two valid real solutions: b = 7 and b = -7. Both values satisfy the equation and meet the given condition. Option B.

To determine the value of b, we can solve the equation b^3 = 343.

Taking the cube root of both sides, we get:

b = ∛343

The cube root of 343 is 7, since 7 * 7 * 7 = 343. Therefore, one solution to the equation is b = 7.

However, it's important to note that the cube root function has a real and complex solution. In this case, b = 7 is the real solution, but there are two additional complex solutions.

Using complex numbers, we can express the other two solutions as follows:

b = -∛343

b = -7

So the complete set of solutions for b is b = 7, -7.

In summary, the equation b^3 = 343 has two real solutions: b = 7 and b = -7. These solutions satisfy the equation and fulfill the condition. So Option B is correct.

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Answer:

Rhombus

Explanation:

Looking at the given figure, the correct option is a Rhombus because the figure is a quadrilateral and all of its sides have the same length, opposites sides are parallel and opposite angles are equal.

Answer:

f(x) = (-1/4)x - 5

Step-by-step explanation:

(-8, -3), (-12, -2)

(x₁, y₁)  (x₂, y₂)

       y₂ - y₁         -2 - (-3)       -2 + 3          1           -1

m = ------------ = ------------- = ----------- = --------- = -------

       x₂ - x₁          -12 - (-8)     -12 + 8        -4           4

y - y₁ = m(x - x₁)

y - (-3) = (-1/4)(x - (-8)

y + 3 = (-1/4)(x + 8)

y + 3 = (-1/4)x - 2

   -3                 -3

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

y = (-1/4)x - 5

I hope this helps!

So, the number of people = 38

7 people can fit in a one car

so, to find the number of cars divide 38 by 7

So, the number of cars = 38/7 = 5.4

But the number of cars must be integer

so, the number of cars = 6 cars

The answer is 6 cars

The completed worksheet is the following:

This worksheet involves three measures of central tendency: Mean, Median, Mode and Range

Mean: To get the mean of a dataset, add up all the data and divide by the number of datum (or inputs)

Median: To get the median of a dataset, sort the data in ascending order, and choose the central datum.

For example, if you have a dataset with 7 inputs, sort it in ascending order and select the 4th datum, as there would be 3 values above and 3 below (Hence it being the central datum).

Mode: The mode is the most repeated value of a dataset.

Range: The range is the difference between the biggest and smallest values of a dataset.

y = -2x + 4

The equation of the line having a slope m, and passing through the point (x₁, y₁) is given as:

y - y₁ = m (x - x₁)

From the description given:

The line passes through the point (0, 4)

That is, x₁ = 0, y₁ = 4

The slope of the line, m = -2

Substitute x₁ = 0, y₁ = 4, and m = -2 into the equation y - y₁ = m (x - x₁)

y - 4 = -2 (x - 0)

y - 4 = -2(x)

y - 4 = -2x

y = -2x + 4

17.86 seconds

The starting point of the elevator car = 27 feet above the ground

The endpoint point of the elevator car = 102 feet above the ground

The total distance traveled by the elevator car = 102 feet - 27 feet

The total distance traveled by the elevator car = 75 feet

Time taken by the elevator car to rise 4.2 feet = 1 second

Time taken by the elevator car to rise 75 feet = 75/4.2 seconds

Time taken by the elevator car to rise 75 feet = 17.86 seconds

Therefore, it takes the car 17.86 seconds to reach a height of 102 feet above the ground

ANSWER and EXPLANATION

We want to stretch the graph of:

y = x

A vertical stretch of a linear function is represented as:

y' = c * y

where c is the factor

The factor from the question is 3.

So, the new equation is:

y' = 3 * x

y' = 3x

Let us plot the functions:

We need to draw a tree diagram for the information given

The total is 400

120 in finance course

220 in a speech course

55 in both courses

Then we start for a tree for the given number

Then to make the tree for probability we will divide each number by a total 400

Then the probability of finance only is 65/400

The probability of speech only is 165/400

The probability of both is 55/400

The probability of neither is 5/400

The probability of finance or speech is 285/400