Find the value of x and each missing angle.M(2x + 20° (3x – 10)2xP(2x – 10)Nx=m ZL=mZM=mZN=m ZP=Blank 1: :Blank 2:Blank 3:Blank 4:Blank 5:

First, find what is 16% of 180 and 7% of 180 equal to, by multiplyig 180 times 16/100 and 180 times 7/100:

Then, the company's operating expenses are equal to $28.8 for each tennis table, and a profit of $12.6 for ea

We have the following:

two angles are supplementary when the sum of these is equal to 180 degrees,

now

Therefore, 17.

Therefore,

Answer:

Step-by-step explanation:

8x + 2(x - 7) = 7x + 3x - 14

8x + 2x - 14 = 7x + 3x - 14                 Distributive property.

10x - 14 = 10x - 14                              Combine the like terms.

-14 = -14                                             Subtraction.

0 = 0                                                  Addition.

Since the statement 0 = 0 is true regardless of the value of x, there is infinitely many solutions.

Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Answer: 20

Step-by-step explanation:

x/2-7=3

  +7  +7

x/2=10

2(x/2)=10(2)

x=20

Answer: X = an unknown value

Explanation:

X = a value that is not yet known, it is called a "variable" or sometimes an "unknown".

In x/2-7=4, x is a variable, but we can work out its value if we try!

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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The equation for the polynomial in this problem is given as follows:

\(y = \frac{1}{16}(x^4 - 17x^2 + 16)\)

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

The roots for this problem are given as follows:

Hence the polynomial is:

y = a(x + 4)(x + 1)(x - 1)(x - 4)

y = a(x² - 16)(x² - 1)

\(y = a(x^4 - 17x^2 + 16)\)

When x = 0, y = 1, hence the leading coefficient a is given as follows:

a = 1/16.

Thus the equation is:

\(y = \frac{1}{16}(x^4 - 17x^2 + 16)\)

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Answer:

0

Step-by-step explanation:

The answer is 1/12

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

We can start with the left side of the identity and try to manipulate it algebraically to transform it into the right side:

Left side: tan X + cot X

We know that cot X is equal to 1/tan X, so we can substitute this expression in for cot X:

Left side: tan X + 1/tan X

Next, we can use the identity that (a + 1/a) = (a^2 + 1)/a to rewrite the expression as a single fraction:

Left side: (tan^2 X + 1)/tan X

We can then use the trigonometric identity that 1 + tan^2 X = sec^2 X to substitute in for the numerator:

Left side: sec^2 X / tan X

Finally, we can use the identity that csc X = 1/sin X to substitute in for tan X:

Left side: sec^2 X / (sin X / cos X)

We can simplify this expression by multiplying the numerator and denominator by cos X:

Left side: (sec^2 X * cos X) / sin X

We know that sec X is equal to 1/cos X, so we can substitute this expression in for sec X:

Left side: (cos X / cos X * sin X) = cos X * csc X

Therefore, we have shown that the left side (tan X + cot X) is equal to the right side (sec X csc X), and the identity is proven:

tan X + cot X = sec X csc X

Answer:

c . f(x)=0,x=????????????

Answer:

\(the \: answer \: for \: the \: question \: is \: 50\)

Answer:

Step-by-step explanation:

Answer:

Johnathon bought 20 cookies because 20×4=80!

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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the vector function represents the curve of the intersection between a cylinder and a plane in 3-dimensional space.r(t) = (cos(t), sin(t), 2t)

The vector function represents the curve of the intersection between a cylinder and a plane. The function is given by r(t) = (cos(t), sin(t), 2t). This means that the x-coordinate of the point on the curve is given by cos(t), the y-coordinate of the point on the curve is given by sin(t), and the z-coordinate of the point on the curve is given by 2t.

The parameter t is defined as t \($\in$\) \([0, $\pi$/2],\) which means that the domain of t is from 0 to \($\pi$\)/2. Therefore, the vector function represents the curve of the intersection between a cylinder and a plane in 3-dimensional space.

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Answer:

1/8 : 1/2

Step-by-step explanation:

Is that the right answer? I’m not sure lol I don’t remember

Answer: A

Step-by-step explanation:

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

Anything above 9

Step-by-step explanation:

63/7=9

Answer:

4x³ - 13x² + 2x + 10 = 0

Step-by-step explanation:

(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0

4(x - 5/4) [x - (1 + √3)] [x - (1 - √3)] = 0

(4x - 5) [x - (1 + √3)] [x - (1 - √3)] = 0

(4x - 5) [x - 1 - √3] [x - 1 + √3] = 0

(4x - 5) [(x - 1) - √3] [(x - 1) + √3] = 0

(4x - 5) [(x - 1)² - 3] = 0

(4x - 5) (x² - 2x + 1 - 3) = 0

(4x - 5) (x² - 2x - 2) = 0

4x³ - 5x² - 8x² + 10x - 8x + 10 = 0

4x³ - 13x² + 2x + 10 = 0

55 I think if I'm wrong sorry

Answer:

c, d and f are rational numbers

Step-by-step explanation:

\(c) 3\sqrt{5}*2\sqrt{5}=3*2*\sqrt{5*5} = 3*2*5 = 30\\\\\\d) \dfrac{3\sqrt{5}}{2\sqrt{5}}= \dfrac{3}{2}\\\\\\f) \dfrac{2\sqrt{5}}{3\sqrt{5}}= \dfrac{2}{5}\)

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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