List the angles of triangle KLM in order from least to greatest if
KL = x - 4, LM = x + 4, KM = 2x - 1, and the perimeter if the triangle is 27.

Here is the completed table:

                     Movies    Theme park  Totals

Males              245                 379           624

Females          180                 196            376

Totals                425             575             1000

Total number of people that watch movies = totals - total number of people that go to theme parks

1000 - 575 = 425

Total number of males that watch movies = total number of people that watch movies - number of males that go to the theme park

425 - 180 = 245

Total number of males = Total number of males that watch movies + males that go to the theme park

 245 + 379 = 624

Total number of females = totals - total number of males

1000 - 624 = 376

Total number of females that go to theme parks = total number of females - total number of females that go to the theme park

376 - 180= 196

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The equation of the graph is y = (5x + 10)/(x²-1).

The correct option is c.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

The graph of the equation is given in the image.

From the graph:

When x = 0, then y = -10.

And when y = 0, then x = -2.

y = (5x + 10)/(x²-1)

Substituting the values,

we get,

when x = 0, then y = -10.

And when y = 0, then x = -2.

From the given choices:

The equation,

y = (5x + 10)/(x²-1) satisfies the points.

Hence, the equation is y = (5x + 10)/(x²-1).

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The length of x is given as follows:

x = 3.6.

Similar polygons share these two features listed as follows:

In the context of this problem, the proportional relationship for the side lengths of the polygons is given as follows:

x/3 = 2.4/2 = 4.8/4 = 6/5.

The relationship can be simplified as follows:

x/3 = 1.2.

Applying cross multiplication, the value of x is obtained as follows:

x = 3 x 1.2

x = 3.6.

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The height of the cylinder whose volume has been given above would be = 50cm

The volume of a cylinder can be calculated with the formula = πr²h

Where Volume = 157cm³

radius = 1 cm

height = X cm

π = 3.14

That is, 157 = 3.14 × 1² × X

make X the subject of formula;

X = 157 /3.14

X = 50cm

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Answer:

It would equal 2/5. First flip the 5/6 so then it would be 6/5. Then the 3 and 6 can cross cancel so it would equal to 2 in the numerator.

The statements that are true about rectangles are mentioned in options  

A,B,C,E.

Rectangles -A shape with four sides and internal angles is a rectangle. The lengths of the other two sides are offset by two. The rectangle's diagonal sides are of identical length.

The opposite sides of a rectangle are equal and parallel to one another.

The diagonals cut each other in half, but not exactly.

All diagonals are the same length.

The rectangle's diagonals line up.

The total internal angles add up to the same value

Every internal angle has the same value.

A rectangle has congruent angles on all sides.

A rectangle's opposing angles are congruent.

We may thus infer that the statements about rectangles in the options are accurate based on the aforementioned features.

Q. Select all the statements that are true about rectangles.

A Diagonals are congruent.

B Diagonals bisect angles.

C Opposite angles are congruent.

D Diagonals are perpendicular.

E Diagonals bisect each other.​

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Answer:

X = 48

Step-by-step explanation:

x/4 - 6 = x/12 + 2​

= 3x-72=x+24

= 3x=x+96

= 2x=96

= x=48

Answer:

x=48

Step-by-step explanation:

You can solve by x by simplifying both sides of the equation, then isolating the variable

Answer: About 50 lbs

Step-by-step explanation:

Answer:

12.3

Step-by-step explanation:

To find the mean you have to add all the numbers and divide by the number of numbers.

They add up to 74 and divided by the number of numbers(6)

you get 12.333...

Then yiu round up to 12.3

let's pry open the triangles a bit and plug their values for the pythagorean theorem to get the hypotenuse, Check the picture below, those are only the first 4 triangles, notice the hypotenuse.

now let's move like the crab, backwards, let's do D first and then C

D)

well, since for the 1st triangle the root has a "2", that means "1+1", and it's pretty much the same for any subsequent triangle, so the rule must be

[tex]{\Large \begin{array}{llll} P_{n}=\sqrt{n+1} \end{array}}\hspace{5em}\textit{rule for the }n^{th}~triangle[/tex]

C)

what does that make the 9th one?

[tex]{\Large \begin{array}{llll} P_{9}=\sqrt{9+1}\implies P_9=\sqrt{10} \end{array}}[/tex]

Answer:

32 markers

Step-by-step explanation:

Ty has 8 x 3 = 24 markers.

Together, they have 8 + 24 = 32 markers.

We are given that there are 800 students in total, with 226 students in sixth grade and 275 students in seventh grade.  So, there are 299 eighth graders in the school.

We are given that there are 800 students in total, with 226 students in sixth grade and 275 students in seventh grade. To find the number of eighth graders, we can use the fact that the total number of students is the sum of the number of students in each grade level:

Total number of students = Number of sixth graders + Number of seventh graders + Number of eighth graders

Substituting the given values, we get:

800 = 226 + 275 + Number of eighth graders

Simplifying and solving for the number of eighth graders, we get:

800 = 501 + Number of eighth graders

Number of eighth graders = 800 - 501

Number of eighth graders = 299

Therefore, there are 299 eighth graders in the school.

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the assumption being that h(t) is the height of the rock in "t" seconds, so by the time the rock hits the ground h(t) = 0, namely it has reached 0 height because, well, is on the ground :)

[tex]h(t)=36t^2 - 64\implies 0=36t^2 - 64\implies 64=36t^2\implies \cfrac{64}{36}=t^2 \\\\\\ \sqrt{\cfrac{64}{36}}=t\implies \sqrt{\cfrac{16}{9}}=t\implies \cfrac{4}{3}=t\implies 1.\overline{33}=t[/tex]

One reason for using a t distribution instead of the standard normal curve to find critical values when calculating a level c confidence interval for a population mean is that (b) z requires that you know the population standard deviation s.

The t distribution is used when the population standard deviation is unknown and is estimated from the sample. The t distribution has fatter tails than the standard normal curve, which makes it more appropriate for smaller sample sizes. When the sample size is large, the t distribution approaches the standard normal curve, and the z distribution can be used instead.

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Answer:

NOT

Step-by-step explanation:

There are no pairs of congruent sides.

The number of persons that can use the room at the same time is 36.

The volume of the cuboid = length x width x height

The room is a cuboid.

Volume of the room = length x width x height

L = 10m, W = 6m, Height = 3m.

Volume = 10 x 6 x 3 = 180 cubic meter.

If each person takes 5 cubic meter of air space,

Then the total person who can occupy the room at the same time is 180/5 = 36.

A cuboid is a three-dimensional geometric shape that is bounded by six rectangular faces, where each face is a parallelogram. It is also known as a rectangular prism. The faces of a cuboid are called its base and lateral faces. The base of a cuboid is the top and bottom rectangular faces, while the lateral faces are the four rectangular faces that connect the base.

Cuboids have eight vertices or corners, where three edges meet, and 12 edges, which are the straight lines that connect the vertices. The length, width, and height of a cuboid are the dimensions of the three pairs of parallel sides of its rectangular faces, and these measurements are usually denoted by l, w, and h, respectively.

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The vector equation for a line segment that joins two points P and Q can be found by subtracting the position vectors of P and Q and representing the result as a vector from P.

The position vector of point P is given by [0, -4, 4] and the position vector of point Q is given by [1/2, 1/3, 1/4]. So, the direction vector of the line segment is found by subtracting the position vectors:

d = Q - P = [1/2, 1/3, 1/4] - [0, -4, 4] = [1/2, 5/3, -3/4]

The vector equation of the line segment can be written as:

r(t) = P + t * d = [0, -4, 4] + t * [1/2, 5/3, -3/4] = [t/2, -4 + 5t/3, 4 - 3t/4]

where t is a scalar parameter that varies from 0 to 1 to give the points on the line segment between P and Q.

The parametric equations of the line segment are:

x(t) = t/2

y(t) = -4 + 5t/3

z(t) = 4 - 3t/4

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Find a vector equation and parametric equations for the line segment that joins P to Q?

P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )

vector equation r(t)

parametric equations x(t), y(t), z(t)

Perceived lack of anonymity is the source of bias that is most relevant to the given situation.

The data collected in the study, which is Mood on a Happy/OK/Sad scale, is qualitative or categorical data.

This describes an observational study.

What is Statistics?

Statistics is a field of study that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and statistical methods to extract meaningful insights from data and to draw conclusions or make decisions based on the findings.

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After 412 years there will be no trees at the state park.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the given information,

Slope(m) = (42 - 48)/(5 - 0).

Slope(m) = - 6/5.

b = 48,                                       As y-intercept(0, 48).

Therefore, y = - (6/5)x + 48.

Now, y = - (6/5)×412 + 48.

y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.

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The probability of selecting the fair coin when a gambler has both a fair coin and a two-headed coin in his pocket is 50%.

This is because, when he selects one of the coins at random, it is equally likely that he has chosen either the fair coin or the two-headed coin. If he flips the coin and it shows heads, then the probability that it is the fair coin is still 50%, because either coin could have been selected and both would show heads.This is an example of a classical probability problem, which is based on the law of equal chances. This law states that when an event has multiple possible outcomes, each of those outcomes is equally likely to occur. In this case, there are two possible coins that could have been chosen, so each coin has a 50% chance of being selected. This means that the probability of selecting the fair coin is 50%.This also applies to events that have multiple outcomes which are not equally likely. For example, if a gambler has a fair coin, a two-headed coin, and a three-headed coin in his pocket, the probability of selecting the fair coin is still 50%. This is because the gambler has an equal chance of selecting any of the coins, regardless.

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he possible values for c would be 31 and 41.

Option (D) is correct.

What is the quadratic equation?

A quadratic equation is a polynomial equation of the second degree, which means that it contains a variable raised to the power of two (usually x^2). The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

where a, b, and c are constants and x is the variable.

We have [tex](ax+2)(bx+7)=abx^2 +7ax+2bx+14=abx^2+(7a+2b)x+14[/tex]

Given, it is equal to 1[tex]5x^2+cx+14[/tex]

⇒ab=15 --- (1)

⇒7a+2b=c

Also given a+b=8 --- (2)

From equations (1) and (2), we can interpret that either of a or b are equal to 3 or 5

When a=3 and b=5, we have c=7(3)+2(5)=21+10=31

When a=5 and b=3, we have c=7(5)+2(3)=35+6=41

Hence, the possible values for c would be 31 and 41.

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An equation that uses a unit fraction and a whole number to write a multiplication equation equal to 712 can be represented as:

712 = (1/N) * X

Where N is the unit fraction and X is the whole number. To find the values of N and X, we can isolate X on one side of the equation and divide both sides by (1/N):

X = (712 * N) / (1)

X = 712 * N

Now we can substitute the value 712 for the right side of the equation:

X = 712 * N

X = 712 / (1/N)

Finally, we can simplify the equation by dividing 712 by the reciprocal of N:

X = 712 * N

X = 712 / (1/N)

X = 712 * N / (1/N)

X = 712 * N * N

Now we have an equation in which X is equal to 712 times N times N. To find the values of N and X, we can use trial and error or other mathematical methods.

It is important to note that there may be multiple solutions to this equation, as there can be many unit fractions and whole numbers that multiply to equal 712. The goal is to find a combination of N and X that satisfies the equation and produces the desired result.

In conclusion, writing a multiplication equation equal to 712 using a unit fraction and a whole number is a common mathematical problem that can be solved by isolating the variable and dividing both sides by the unit fraction.

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a) Yes, it is possible to estimate the uncertainty in this measurement. the measurement of 150 lb has an uncertainty of +/- 0.5 lb.

b) It is not possible to estimate the bias in this measurement without further information.

a) Uncertainty represents the range of possible values that a measurement can have due to the limitations of the measuring instrument or the process of measurement. In this case, the uncertainty can be estimated by considering the precision of the bathroom scale.

If the scale is precise to the nearest pound, then the uncertainty can be estimated to be half of the smallest graduation of the scale, which is 0.5 lb.

b)Bias represents a systematic error in a measurement, which can arise due to various factors such as the design of the measuring instrument or the process of measurement.

In this case, we do not have any information about the design of the bathroom scale or the conditions under which the measurement was taken. Therefore, we cannot estimate the bias in this measurement.

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Answer:

B. m-3=m+3

Step-by-step explanation:

Because the others have a solution such as 0 and -1.

And That would eliminate D

Answer: 22

Step-by-step explanation:

f(x) is basically the y of the function and we sent x=3. go back to the function and plug in 3 in the x. then solve 3^2=9  2x9=18 18+4=22 BOOOM  MATHH

Answer:

f(-3) = 5

Step-by-step explanation:

f(-3) → x = -3

f(x) = -x+2

f(-3) = -(-3)+2

f(-3) = 3+2

f(-3) = 5