In ΔKLM, k = 1.2 cm,
�
m∠L=93° and
�
m∠M=6°. Find the length of l, to the nearest 10th of a centimeter.

The items that are NOT expressions are:
- = y
- 1 = t − 8b

An expression is a combination of variables, numbers, and operations without an equals sign.

Based on this definition:
3z - This is an expression.
4(3x) - This is an expression.
= y - This is NOT an expression, as it contains an equals sign without any combination of variables, numbers, and operations.
2 ÷ b - This is an expression.
z + z + z - This is an expression.
1 = t − 8b - This is NOT an expression, as it contains an equals sign.

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Answer:

The measurement of angle BAD would be 120°.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(13x-31)=(x+53)----------add 31 to each side

13x=(x+84)----------subtract x from both sides

12x=84----------divide both sides by 12

x=7

Plug-In The Value Of X To Each Expression & Add:

(13(7)-31)+((7)+53)----------distribute the 7 to each coefficient

(91-31)+(7+53)----------add/subtract numbers inside the parentheses

(60)+(60)----------add the final products together

120----------*Final Answer*

Let's factor out the number 18:

18 = 2 * 3 * 3

this is the factor decomposition of 18 with all positive factors.

Therefore all possible positive factors for 18 are:

1 x 18

2 x 9

3 x 6

To take a systematic sample of 100 companies from a population of 1,803 companies, determine the sampling interval (k) which is N/n, choose a random starting point between 1 and k, and select every kth company until 100 companies are sampled.

To take a systematic sample of 100 companies from the 1,803 companies that are members of an industry trade association, follow these steps

Determine the sampling interval (k), which is the number of companies in the population divided by the desired sample size. In this case, k = 1803/100 = 18.03. Round this number up or down to the nearest whole number based on your sampling preferences.

Choose a random starting point between 1 and k. For example, you could randomly select a number between 1 and 18.

From the starting point, select every kth company in the list of members until you have 100 companies. For example, if the starting point is 4, you would select companies 4, 22, 40, 58, 76, 94, 112, and so on until you reach 100 companies.

Important numerical values used in this process are:

Population size (N) = 1,803 companies

Desired sample size (n) = 100 companies

Sampling interval (k) = N/n = 1803/100 = 18.03

Random starting point (any number between 1 and k, depending on sampling preference)

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Answer: -4 only

Step-by-step explanation:

Though f(x) approaches -2 for the x-values of -5, -4, and -2, the limits for -5 and -2 don't exist because the left and right hand limits are not equal.

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

So the angle measure for ∠L is 22.5° when two parallel lines cut by a transversal.

In geometry, a transversal is a line that intersects two or more other lines in a plane. When a transversal intersects two parallel lines, it creates a series of corresponding angles, alternate angles, and interior angles, which have specific relationships and properties.

Here,

Since lines a and b are parallel, we know that alternate interior angles are congruent. Therefore, we have:

∠F = ∠L + 180° - 135°

Simplifying this expression, we get:

∠F = ∠L + 45°

Substituting the value of ∠F as 67.5°, we can solve for ∠L:

67.5° = ∠L + 45°

22.5° = ∠L

The relationship between ∠F and ∠L is that they are supplementary angles, meaning they add up to 180°. This is because they are on opposite sides of the transversal and both intersect with the same parallel lines a and b.

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Complete question:

Two parallel lines cut by a transversal. For our safety, it is important that drivers recognize a stop sign immediately. Stop signs are made with exact side and angle measurements to form a regular octagon. They are red so they are easy to see. The three lines drawn below are straight lines. Lines a and b are parallel. a) The stop sign is a regular octagon, so the measure of ∠F must be 67.5°. What is the angle measure for ∠L? Describe the relationship between ∠F and ∠L. (1 point)

Answer:

√169 OR 13

Step-by-step explanation:

D= √(14-2)^2+(6-1)^2

D= √12^2=5^2

D= √144+25

D= √169 AKA 13

Answer:

she sold 21 teeshirts

Step-by-step explanation:

y=5x -22 is the equation for the cost of the  tee shirts for her (22) and the cost for others(5x bc we dont know the amount shes sold yet).

if she made 85 dollers in profit shehad already paid off the 22 dollars it cost.

So you would add 22+83. which would equal 105.  then divide 105 by 5 for the number of tee shirts she sold. 105/5 =21

The radius of the circle is 20/π units or approximately 6.37 units.

To find the radius of the circle given its central angle and arc length, we can use the formula:

arc length = radius * central angle

In this case, we have:

arc length = 4 units

central angle = 144°

Plugging these values into the formula, we get:

4 units = radius * 144°

To solve for the radius, we need to convert the angle from degrees to radians, as the formula requires the angle to be in radians.

1 radian = 180°/π

So, 144° = (144/180) * π radians

Simplifying, we have:

144° = (4/5) * π radians

Now we can rewrite the formula using radians:

4 units = radius * (4/5) * π radians

Solving for the radius, we divide both sides of the equation by (4/5) * π:

radius = (4 units) / ((4/5) * π)

Simplifying further, we can multiply the numerator and denominator by 5 to cancel out the fraction:

radius = (20 units) / π

Thus, the radius of the circle is 20/π units or approximately 6.37 units.

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By solving simultaneous linear equation, it can be calculated that

Speed of the current is 5 miles/hour

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here a simultaneous linear equation needs to be solved

Let the speed of boat in still water be x miles/hour and speed of stream be y miles/hour

Speed of the boat downstream = (x  + y) miles/hour

Speed of the boat upstream = (x - y) miles/hour

A boat travels 80 miles downstream in 4 hours

x + y = \(\frac{80}{4}\)

x + y = 20 .... (1)

A boat travels 80 miles upstream in 8 hours

x - y = \(\frac{80}{8}\)

x - y = 10 .... (2)

Subtracting (2) from (1)

2y = 10

y = \(\frac{10}{2}\)

y = 5 miles/hour

Speed of the current is 5 miles/hour

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The accumulation points of the given function are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

To find the accumulation points of a function, we need to determine the values towards which the function approaches as the input approaches certain values. In this case, we have the function 11.9. Since it is a constant function, it takes the value 11.9 for all inputs.

Thus, there are no accumulation points other than the constant value itself, which is -1. However, when considering upper and lower accumulation points, we need to include the endpoints of the interval.

As the function is constant, the upper accumulation point is the maximum value of the function, which is 11.9, and the lower accumulation point is the minimum value, which is also 11.9. Hence, the accumulation points are -1 and 1, with upper and lower accumulation points being 1 and -1 respectively.

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ABCD can be square if the distance between all four points is the same.

A square is a two-dimensional closed shape with four equal sides and four corners. The opposite sides of the square are parallel to each other. A square is also a rectangle with equal length and width. A square is an equilateral quadrilateral with all four equal sides and all four equal angles. Square angles are right angles or 90 degrees. Also, the diagonals of the square are equal and bisect at 90 degrees. A square is just a quadrilateral with four equal sides. There are many rectangular objects around us.

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Answer:

Step-by-step explanation:

\(\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\\)

Answer

\(59/37\)

Explanation

\(1+\frac{2}{3+\frac{4}{5+6} }\)

\(1+\frac{2}{3+\frac{4}{11} }\)

\(1+\frac{2}{\frac{3}{1} +\frac{4}{11} }\)

\(1+\frac{2}{\frac{33}{11} +\frac{4}{11} }\)

\(1+\frac{2}{\frac{37}{11} } }\)

\(1+2 \times \frac {11}{37}\)

\(1+\frac{22}{37}\)

\(1\frac{22}{37}\)

\(\approx 1.594594594594594594594594594594595\)

The initial condition is $3.

The constant rate of change is 0.75 for every mile.

Based on the given information, we can express the following

Where x is miles, and y is the cost.

The sales tax of the car is $1960

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

Price of car = $28000

Given that the sales tax on the new car is 7%, we have

Sales tax amount = 7% * Cost of new car

Substitute the known values in the above equation, so, we have the following representation

Sales tax amount = 7% *  $28000

Evaluate

Sales tax amount = $1960

Hence. the Sales tax amount is $1960

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The equation x³ + 1 = x² + x has a solution x = -1.

To solve the equation x³ + 1 = x² + x, we need to bring all the terms to one side and then simplify.

Rearranging the equation, we have:

x³ - x² - x + 1 = 0

Now, let's factor the equation if possible. Unfortunately, this equation does not easily factor. Therefore, we will use an alternative method to solve it.

One approach is to use numerical methods, such as the Newton-Raphson method or graphical methods, to approximate the solutions. However, I will solve it algebraically by finding the roots using the Rational Root Theorem.

The Rational Root Theorem states that if a polynomial equation has a rational root (x = p/q), where p is a factor of the constant term (1) and q is a factor of the leading coefficient (1), then that rational root is a potential solution.

In our equation, the constant term is 1, and the leading coefficient is also 1. Therefore, the possible rational roots are ±1.

By trying these values, we find that x = -1 is a solution.

Substituting x = -1 into the equation:

(-1)³ + 1 = (-1)² + (-1)

-1 + 1 = 1 - 1

0 = 0

Since the equation holds true, x = -1 is a valid solution.

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Therefore, the combined rate , It will take both pipes together to fill the tank 12 minutes to fill the tank.

To determine the time it takes for both pipes to fill the tank, we can use the concept of rates. Let's denote the rate at which the first pipe fills the tank as R1 (in tanks per minute) and the rate at which the second pipe fills the tank as R2 (in tanks per minute).

We are given that the first pipe can fill the tank in 20 minutes, which means its rate is 1/20 tanks per minute (since it fills 1 tank in 20 minutes). Similarly, the second pipe fills the tank in 30 minutes, so its rate is 1/30 tanks per minute.

When the two pipes work together, their rates add up. Therefore, the combined rate of both pipes is R1 + R2 = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 tanks per minute.

To find the time it takes for both pipes to fill the tank, we can invert their combined rate: 1 / (5/60) = 60/5 = 12 minutes.

Therefore, it will take both pipes together 12 minutes to fill the tank.

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Answer:

he left $11.25

Step-by-step explanation:

hope this helps :)

Answer:

$7.20

Step-by-step explanation:

because I know but do bzizbzjzbzj

Answer: - 27 meters

Step-by-step explanation:

1.     86 m   Start at 86 meters

2.  +35 m    Go up another 35 meters

3. -148 m   Go down 148 meters.

4.  - 27 meters  Net change in elevation

The net result is a negative 27 meters in elevation from the start of the hike.

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The minimum number of points that the line has to pass through for it to be a good model is 2.


- A line can be used to model the relationship between two quantitative variables on a scatter plot.
- The line should pass through at least two points to be a good model.
- If the line passes through only one point, it may not represent the overall trend or pattern of the data.
- If the line passes through more than two points, it may be overfitting the data and not accurately represent the relationship between the variables.


A scatter plot is a visual representation of the relationship between two quantitative variables. It consists of a set of points that are plotted on a two-dimensional plane. The position of each point is determined by the values of the two variables being studied.

To model the relationship between the variables, a line can be drawn on the scatter plot. The line should pass through as many points as possible to accurately represent the trend or pattern of the data. However, the line should not pass through too many points as it may overfit the data and not accurately represent the relationship between the variables.

In the given scenario, Rachael has plotted 10 points on a scatter plot to investigate the relationship between two quantitative variables. She wants to use a line to model the relationship. The minimum number of points that the line has to pass through for it to be a good model is 2. This is because a line that passes through only one point may not represent the overall trend or pattern of the data, while a line that passes through more than two points may be overfitting the data and not accurately represent the relationship between the variables.

Therefore, to create a good model for the relationship between the two quantitative variables, the line should pass through at least two points on the scatter plot.

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The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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Answer:

Step-by-step explanation:

The perimeter of ABCD is 30cm

The Sum of the perimeter of three rectangles at the corner is 20cm.

following the variables as the same as you assigned

large rectangle: u by v

rectangle center A: 2a by 2b

rectangle center B: 2c by 2d

rectangle center D: 2e by 2f

2 equations (from the givens):

2u+2v=30

2(a + b + c + d + e + f )= 20

now to find the length

a+b+a/2+b/2+(v-b/2-d/2)+c/2+d+c+d/2+(u-c/2)+(v-f/2)+e/2+f+e+f/2+(u-e/2-a/2)

which is (a+b+c+d+e+f)+u+v+u+v = 10+30=40

Answer:

when a number has more than two factors it is called a composite number

Step-by-step explanation:

here u go first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71 etc..

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The number 63 is not a prime number because it is possible to express it as a product of prime factors. In other words, 63 can be divided by 1, by itself and at least by 3 and 7. So, 63 is a 'composite number'.

List of prime numbers between 29 and 63:

29, 31, 37, 41, 43, 47, 53, 59, 61.

Answer:

(0,7/2)    (1,17/4)    (2,5)

Step-by-step explanation:

The first two are suppose to be fractions but, I can't make a fraction so yeah...

Good Luck!!!! :) :) :) :)

Answer:

75% is = to 3/4 and 21/3= 7 and 7*4= 28 so there's 28 candies in the bag

Step-by-step explanation: