Find the length of side x.
Give your answer to 1 decimal place.
13 cm
98°
X
17 cm

3 and 5 supplementary angles can prove that lines L and M are parallel. The solution has been obtained by using the properties of parallel lines.

What are parallel lines?

In a plane, lines that are parallel to one another do not meet or overlap at any point. They are always parallel and equally spaced apart. Parallel lines are non-intersecting lines. Infinity is another place where parallel lines are believed to meet.

We are given a set of parallel lines and various angles are marked on the lines.

Angles 3 and 4 can not prove that the lines are parallel because they lie on the same line.

Similarly, angles 7 and 8 can also not prove.

But, angles 3 and 5 can prove this because they lie on different lines i.e. they belong to both the lines.

Hence, 3 and 5 supplementary angles can prove that lines L and M are parallel.

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Complete question:

\Which supplementary angles can prove that lines L and M are parallel?

A. 3 and 4

B. 3 and 5

C. 7 and 8

To find the F0.10 with degrees of freedom 10 and 20, first you need to locate the row with 10 degrees of freedom, then you need to find the column with 20 degrees of freedom. The intersection of these two values is 1.86.

(a) 2.45

(b) 2.75

(c) 2.82

(d) 1.86

(a) To find the F0.05 with degrees of freedom 6 and 15, first you need to locate the row with 6 degrees of freedom, then you need to find the column with 15 degrees of freedom. The intersection of these two values is 2.45.

(b) To find the F0.025 with degrees of freedom 30 and 25, first you need to locate the row with 30 degrees of freedom, then you need to find the column with 25 degrees of freedom. The intersection of these two values is 2.75.

(c) To find the F0.01 with degrees of freedom 8 and 12, first you need to locate the row with 8 degrees of freedom, then you need to find the column with 12 degrees of freedom. The intersection of these two values is 2.82.

(d) To find the F0.10 with degrees of freedom 10 and 20, first you need to locate the row with 10 degrees of freedom, then you need to find the column with 20 degrees of freedom. The intersection of these two values is 1.86.

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The probability that the test is negative for all people is: P = 0.9655 and probability that the test comes back positive for at least one of the five people is P = 0.0344.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

The probability that the test is negative for all people is:

[tex]P = (0.995)^7[/tex]

P = 0.9655

b. The probability that the test comes back positive for at least one of the five people:

P = 1 - P (Negative for all 5)

P = 1 - 0.9655

P = 0.0344

Hence, the probability that the test is negative for all people is: P = 0.9655 and probability that the test comes back positive for at least one of the five people is P = 0.0344.

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The value of the equations are

A =  0.93 x 2.6 = 2.418

B = 93 x 0.26 = 24.18

C = 9.3 x 26 = 241.8

D = 0.93 x 0.26 = 0.2418

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

a)

A = 0.93 x 2.6   be equation (1)

On simplifying the equation , we get

A = 2.418

b)

B = 93 x 0.26   be equation (2)

On simplifying the equation , we get

B = 24.18

c)

C = 9.3 x 26   be equation (3)

On simplifying the equation , we get

C = 241.8

d)

D = 0.93 x 0.26   be equation (4)

On simplifying the equation , we get

D = 0.2418

Hence , the equations are solved

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The fraction pairs that are equivalent to 4 and 20 is given as follows:

Equivalent fractions are fractions that have the same denominator.

The fraction for this problem is given as follows:

4/20.

Dividing both the numerator and the denominator by 2, an equivalent fraction is given as follows:

2/10.

Dividing again by two, we have that:

1/5.

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Check the picture below.

[tex]\textit{perimeter of a rectangle}\\\\ P=2(L+w) ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ P=88\\ L=w+8 \end{cases}\implies 88=2( ~~(w+8)+w ~~ ) \\\\\\ 88=2(2w+8)\implies 88=4(w+4)\implies \cfrac{88}{4}=w+4 \\\\\\ 44=w+4\implies \boxed{40=w}\hspace{5em}\stackrel{w+8}{\boxed{L=48}}[/tex]

The required final balance on interest rate of 6%per annul is  $354.

The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

Simple interest is calculated as:

I = P * r * t

where I is the interest, P is the principal (initial investment), r is the annual interest rate as a decimal, and t is the number of years.

So, in this case:

I = 300 * 0.06 * 3

I = 300 * 0.06 * 3 = 54

The final balance would be the sum of the initial investment and the interest earned:

Final balance = P + I

Final balance = 300 + 54

Final balance = 300 + 54 = 354

Rounded to the nearest cent, the final balance is $354.

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To find the asymptotic complexity of a function, you need to analyze the behavior of the function as the size of the input grows. You need to determine the number of operations that are performed by the algorithm, and express this as a function of the size of the input.

Asymptotic complexity is a measure of the growth rate of the running time of an algorithm as the size of the input grows towards infinity. It is expressed using big O notation, which provides an upper bound on the growth rate of the running time.

Here are the steps to find the asymptotic complexity of a function:

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the solutions of the equation are x = -1.5 and x = 2.

The solutions of the equation are x = -1.5 and x = 2.

Absolute value equation: |4/3x + 2| - 6 = 0

Equation inside absolute value must equal 0:

4/3x + 2 - 6 = 0

4/3x = -4

x = -4 * (3/4)

x = -1.5

Equation inside absolute value must equal 0:

4/3x + 2 + 6 = 0

4/3x = -8

x = -8 * (3/4)

x = 2

The absolute value quantity of four thirds times x plus 2 end quantity minus six equals zero can be written as:

|4/3x + 2| - 6 = 0

This equation can be rewritten as two separate equations as follows:

4/3x + 2 - 6 = 0

4/3x + 2 + 6 = 0

Solving the first equation:

4/3x + 2 - 6 = 0

4/3x = -4

x = -4 * (3/4)

x = -1.5

Solving the second equation:

4/3x + 2 + 6 = 0

4/3x = -8

x = -8 * (3/4)

x = 2

Therefore, the solutions of the equation are x = -1.5 and x = 2.

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Elisa was charged a basic interest rate of 120% per year by the pawnbroker since she needed the money to fix her house air conditioner.

By dividing the initial by the interest income, the aging process, and other factors, simple interest is determined. Simple yield equals principal plus interest full days is the concept used in marketing. The easiest thing to compute interest is to employ this method. The most frequent method for calculating it is as a portion of the outstanding sum. For example, if he takes $100 from a buddy and undertakes to return the loan at 5% interest, he will only spend his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must make payments, and you must pay the interest whenever you lend it. Typically, interest is computed as an indicator of the overall of the loan total. The loan's interest is the name given to this percentage.

given

I = PRT/100

Simple interest (I) is calculated as follows: amount - principal ($279.90 - $270) = $9.90

P (principal) is the $270 loan made to Elisa.

R is the interest rate on a yearly basis.

The loan's amortisation period, or T (time), is 11 days, or 11/360 years.

9.9 = 270 × R × 11/360 × 1/100

R = (9.9×360×100)/(270×11) = 120%

120% is the annual simple interest rate.

Elisa was charged a basic interest rate of 120% per year by the pawnbroker since she needed the money to fix her house air conditioner.

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Answer:  -(-5) =5

-|-2| = -2

Step-by-step explanation:

Two negatives = positives



Glad to help do you mind clicking the crown for me it would really help please and thank you have a blessed day!

Answer:

  ∆ABC is an isosceles triangle

Step-by-step explanation:

You have a triangle ABC such that the angle bisector of angle B also bisects side AC.

An angle bisector divides the sides of the triangle proportionally. This means the sides BA and BC will have the same ratio as the segments of AC on either side of the point of intersection with the angle bisector.

Since AC is bisected, that means those segments are congruent, hence sides BA and BC are congruent. The triangle is isosceles.

Answer: To find the value of w, we need to set the expressions equal to each other:

(4w-8) = (3w+6)

Subtracting 3w from both sides:

w - 8 = 6

Adding 8 to both sides:

w = 14

So the value of w is 14.

Step-by-step explanation:

Answer: The number of solutions for the system of linear equations depends on whether the lines are parallel or intersect at a single point. If the lines are parallel, there are no solutions, as they never meet. If the lines intersect at a single point, there is exactly one solution.

To determine the number of solutions, we need to find the point of intersection of the two lines. We can do this by solving for x in one equation and substituting it into the other equation:

2x + 3 = 8/4 x - 1/4

8x + 12 = 2x - 1/2

6x = - 12.5

x = -2.08

Then, substituting this value of x back into either equation to find the corresponding value of y:

y = 2 * (-2.08) + 3 = 0.16

So, the two lines intersect at the point (-2.08, 0.16), which means there is exactly one solution to the system of linear equations.

Step-by-step explanation:

The sample size based on the information is 30.

The probability is 0.1667.

From the information, Mr. Jackson could think about his experiment a little differently. How many times should he expect to roll a 4 if he rolls his number cube 30 times? This is called the mean, or expected value.

The Sample size , n = 30. The Probability of an event of interest, p = 0.1667

The Mean will be:

= np = 30 * 0.167

= 5.000

Standard deviation will be:

= √(np(1-p)) = √ 4.1667

= 2.04

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The measure of both the angles is equal and it is of 105 degrees.

Vertical Angles:

The opposing angles created when two lines cross one another. They are always equal.

The vertex, not up or down, where they meet, is the term understood by the phrase "vertical."

In the given question,

m/1 = 3x+21

m/2 = 5x-35

it is also given that, both angles are vertical angles,

therefore,

m/1 = m/2

3x + 21 = 5x - 35

2x = 56

x = 28

Now, place the value of x in given angles,

m/1 = 3 (28) + 21

m/1 = 84 + 21

m/1 = 105

Similarly,

m/2 = 5 (28) - 35

m/2 = 140 - 35

m/2 = 105

Therefore, both the given angles are of 105 degrees.

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Answer:

28.26cm

Step-by-step explanation:

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle.

Plugging in r = 4.5 cm, we get:

C = 2π * 4.5 = 9π cm

To find the value of C to the nearest tenth, we can approximate π to 3.14:

C = 9 * 3.14 = 28.26 cm

Answer:

Step-by-step explanation:

The variable b is common to each expression.

Take the b out and put the remaining numbers in a parenthesis:

b ( 2 + 7)

b (9)

9b

Answer:

pls mark brainliest

Step-by-step explanation:

it is 8

The probability of F′∪A 0.9829

The probability can be defined as the likelihood that an event is going to happen.

We are to find the probability F′∪A.

What is F'

This is gotten as 1 - probability of F

F' = 1 - 0.2058

F' = 0.7942

Then we are to get the probability of event A from the question

P(A) = 0.1887

Hence the probability of F′∪A.

= P(A) + P(F`)

= 0.1887 + 0.7942

= 0.9829

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the value of EX will be 8x -23 in the form of variable x.

Simultaneous equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, Cx = 2x-15 and CE=2x-8 these are the measurement of the distance Of points E and x from the point c

Distance between two points is the length of the line segment that connects the two points in a plane.

Thus the total distance = CE + CX = 2x -15 + 2x -8

Total distance (EX) = 4x - 23

Therefore, the value of EX will be 8x -23 in the form of variable x.

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2 minutes of time both the tanks have same amount of water and total amount of water at that minute will be 25 gallons.

Two or more expressions with an Equal sign is called as Equation.

The amount of water in Jason's dunk tank is represented by the equation below, where W represents the amount of water, in gallons, x minutes after he began to fill.

w=2x+1

The amount of water in Mark's dunk tank is represented by the equation

w=10x+5

The total amount of water in both dunk tanks will be the same.

2x+1=10x+5

8x=-4

Divide both sides by 4

x=-2

So at 2 minutes of time both the tanks have same amount of water.

Now plug in 2 value in any of equation

W=25

Hence, at 2 minutes of time both the tanks have same amount of water and total amount of water at that minute will be 25 gallons.

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Answer:-2 °F

Step-by-step explanation:

Este numero es mas frio porque es de menos valor y lo mas bajo que es el numero lo mas frio que se siente.

Answer:

c is -15

Step-by-step explanation:

minus 84 from 99 then add a minus onto it or just take away 84 from 99

Answer: Yes.

Step-by-step explanation: Follow PEMDAS.

P: PARENTHESIS

E: EXPONENTS

M: MULTIPLY

D: DIVIDE

A: ADDITION

S: SUBTRACT

Answer:

15×24

times 15and24

giving you this answer

120

then divide 120 by 18

=20hrs would take the Baker

Answer:

28.8 hours

Step-by-step explanation:

[tex]\frac{24 .hours}{15 .bakers}[/tex] = 1.6 hours per baker

1.6 x 18 = 28.8 hours for 18 bakers to complete that order

x is a component of the real number system 11 < 3x-2 ≤ 19, although as a compound inequality, it also belongs to 13/3 and 7.

A interaction between two terms or concepts that is neither equal in mathematics is referred to as an inequality. Consequently, inequity results from imbalance. In algebra, an inequality establishes the connection between two non-equal numbers. Egality and inequalities are not the same. Use the not comparable symbol most usually when two components are really not equal (). Values of any size can be contrasted using a variety of inequalities. By changing the two aspects until only the variables are left, many straightforward inequalities can be solved. But, a variety of factors support inequality: Both sides' 0 are split or added. Exchange the left and the right.

given

11 < 3x-2 ≤ 19

11< 3x-2

3x-2 ≤ 19

11+ 2 < (3x-2)+ 2

(3x-2)+ 2 ≤ 19 + 2

x belongs to 13/3 and 7

x is a component of the real number system 11 < 3x-2 ≤ 19, although as a compound inequality, it also belongs to 13/3 and 7.

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(a) P(D and E) is equal to 0.06.

(b) P(E | D) is equal to 0.75.

(c) P(D or E) is equal to 0.32.

(d) D and E are not independent.

(e) D and E are not mutually exclusive.

The solution has been obtained using probability.

What is probability?

Probability is a mathematical concept used to determine the likelihood of an event. It merely allows us to calculate the probability or possibility that an event will occur. The range of probabilities lies between 0 and 1, where 1 signifies a certain event and 0 denotes an impossibility.

We are given the following:

No. of students that have taken a distance learning class = 8%

No. of students that are part-time students = 30%

No. of part-time students that have taken a distance learning class = 20%

Let D = event that a student takes a distance learning class and E = event that a student is a part-time student.

(a) Since, 20% of the part times students are taking distance learning classes (D and E) so,

P(D and E) = 0.3 * 0.2 = 0.06

(b) P (E | D) = P (D and E) / P (D)

P (E | D) = 0.06 / 0.08

P (E | D) = 0.75

(c) P (D or E) = 0.3 + 0.08 - 0.06 = 0.32

(d) For events to be independent, probability of D and E must be equal to P(D) x P(E).

But, P(D and E) ≠ P(D) x P(E)

So, D and E are not independent.

(e) Events are considered mutually exclusive if they do not occur at the same time.

But, D and E can occur at the same time.

So, D and E are not mutually exclusive.

Hence, the solutions have been obtained.

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