Marcus jogged all the way around a square Park that has an area of four square miles how many miles total did Marcus jog

Answer: C) Draw segment TU and point R on segment TU.

The construction he set up so far is pretty much almost done. If he draws a ray through points T and U (with T as the endpoint), then ray TU combines with ray TS to get angle STU. This angle is congruent to angle BCD.

The point R is introduced so that we call this angle STR instead of angle STU, but it's the same basic idea. You could also replace "ray" with "line" or "line segment" to get the same basic construction of copying an angle.

Answer:

12

Step-by-step explanation:

DM is congruent to line CM because CDM is congruent to triangle CBM using the SAS congruence criteria for triangles.

Draw a diagram of the rectangle ABCD with M as the midpoint of AB. Draw lines CM and DM ( refer to the attached image). Since AB is a line segment, we know that AM is congruent to MB (because M is the midpoint of AB). Since ABCD is a rectangle, we know that AB is parallel to CD, and AD is parallel to BC. Thus, we have two pairs of parallel lines: AB and CD, and AD and BC.

Using the fact that opposite sides of a rectangle are congruent, we have CD = AB. Now, we have a pair of congruent sides (DM and CM) that are opposite each other in triangle CDM and CBM respectively. We also have another pair of congruent sides (CD and AB) that are opposite each other in both triangles. Finally, we know that the angle CMD is congruent to the angle CMB because they are vertical angles. By the Side-Angle-Side (SAS) congruence criterion, we can conclude that triangle CDM is congruent to triangle CBM.

Therefore, line DM is congruent to line CM by SAS congruence criteria.

To learn more about congruence, refer to:

https://brainly.com/question/30094441

#SPJ4

Answer:

answer D

Step-by-step explanation:

let s estimate the D.

(2x+5) is a common factor so we can write

\((2x+5)(3x^2+(-5x)+(-4)) = (2x+5)(3x^2-5x-4)\)

and this is the expression of the question

hope this helps

The correct answer would be D

Hope this helps! :)

Answer:

x ≤  -259/9

Step-by-step explanation:

Change into a number equation   9(x + 26) ≤ -25

In order to calculate the number of different plates, let's check the number of possible values for each digit or letter in the plate.

Each letter has 26 possible values (from A to Z) and each digit has 10 possible values (from 0 to 9).

Since we have two letters and two digits in this order, the total number of different plates is:

The number of different plates is 67,600, therefore the correct option is the third one.

Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi

The rate of flour to the other substance is 6 cups of flour for every 1 cup of the other substance, which was obtained by using the concept of reciprocal to convert the ratio to a common unit of measurement.

The problem provides us with the information that 2 cups of flour are required for every 1/3 cup of another substance. To determine the rate of flour to the other substance, we need to convert the ratio to a common unit of measurement. In this case, we can use cups as the unit of measurement.

The given information implies a ratio of 2 cups of flour to 1/3 cup of something else, which can be simplified to:

2 cups / (1/3) cup

To divide by a fraction, we can multiply by its reciprocal:

2 cups / (1/3) cup = 2 cups * (3/1) cup = 6 cups

Therefore, the rate is 6 cups of flour for every 1 cup of the other substance.

To learn more about reciprocal please click on below link        

https://brainly.com/question/20404304

#SPJ4

Let us take the age of the house currently as x.

The second statement says that the house will be 6 times as old as it is now after payment is completed.

If the mortgage will be completed in 25 years, we can write that mathematically as

Therefore, the age of the house, x, can be calculated as

Hence, the house is 5 years old now.

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

For more such questions on triangles.

https://brainly.com/question/17335144

#SPJ8

Answer

Probability that the next time Bella chooses a Lego, it will be a white or blue

= (9/20)

= 0.45

Explanation

The probability of an event is calculated as the number of elements in the event divided by the total number of elements in the sample space.

Number of white or blue legos = 10 + 8 = 18

Total number of legos = 4 + 10 + 8 + 18 = 40

Probability that the next time Bella chooses a Lego, it will be a white or blue

= (18/40)

= (9/20)

= 0.45

Hope this Helps!!!

Answer:

he should do nothing because he is just a passenger.

Answer:

B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.

Step-by-step explanation:

In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.

The data value of a given percentile can be determined  as 100 times the cumulative relative frequency of that value.

From the given question.

Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.  

This implies that ;

The student score shows the relation between a particular score of :

78% and the scores of the rest of a group for the verbal test takers   &

34% and the scores of the rest of a group for the quantitative test takers.

Therefore; we can conclude that ;

This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.

The required probability that the first lefty is the fifth person chosen is 0.074.

Probability is tied in with assessing or working out how likely or 'plausible' something is to occur. The opportunity of an occasion happening can be depicted in words, for instance 'certain', 'unimaginable' or 'probable'. In math, probabilities are constantly composed as portions , decimals or rates with values somewhere in the range of 0 and 1.

Probability of being left given = 0.13

Probability of being not left given = 1-0.13 =0.87

They select an example of five clients at irregular in their stores

So,

a). The main lefty is the fifth individual picked

Then,

Probability that first lefty is the fifth individual picked =

0.87×0.87×0.87×0.87×0.13 = 0.074

Thus, required probability is 0.074.

To know more about Probability visit:

brainly.com/question/30034780

#SPJ4

Answer:

Each balloon costs $1

Each banner costs $2

Step-by-step explanation:

First of all, let's write down the equation from this problem.

Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...

4y + 2x = 8

6y + x = 8

Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...

4y + 2x = 6y + x

2x - x = 6y - 4y

x = 2y

Now if we substitute 2y instead of x in one of the previous equations we will obtain...

6y + x = 8

6y + 2y = 8

8y = 8

y = 1

From the equation x = 2y we know that...

x = 2y

x = 2(1)

x = 2

Answer:

√32 or 4√2 or 5.657 (3 d.p.)

Step-by-step explanation:

We need to calculate the 4%

The raise will be $1614.44

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

For more such answers on Probability

https://brainly.com/question/251701

#SPJ8

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

Visit here to learn more about cross-products:

brainly.com/question/29097076

#SPJ11

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

Inequality to show the weight limit for the elevator is :

w  <=  2500

To write an inequality showing the weight limit for the elevator, we can let "w" represent the weight in pounds that are allowed in the elevator. The inequality would be:

w <= 2500

This inequality can be read as "w is less than or equal to 2500." It shows that the maximum weight allowed in the elevator is 2500 pounds.

Alternatively, the inequality could also be written as:

w + 0 <= 2500

This form of inequality emphasizes that the weight of the elevator itself (represented by the "0" term) is also included in the weight limit.

Read more about the design and safety of elevators :

https://brainly.com/question/13636778

Answer:

please add an image my bro

Step-by-step explanation:

we cant answer without knowing what it looks like

Answer:

answer my questions also

Step-by-step explanation:

If Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.

To explain how this is determined, we can use a basic equation. We know that Art made 12 cookies with the same amount of dough. If Art sells each cookie for 60 cents, then the total amount of money they earn from a single batch is 12 x 60 = 720 cents. We also know that Roger is trying to earn the same amount from a single batch of cookies.

To calculate how much each of Roger's cookies should cost, we need to divide the total amount of money, 720 cents, by the number of cookies, 12. Therefore, the cost of each of Roger's cookies is 720 / 12 = 70 cents.

To summarize, if Art makes 12 cookies with the same amount of dough and sells each cookie for 60 cents, then Roger needs to sell each cookie for 70 cents in order to earn the same amount from a single batch.

See more about equation at: https://brainly.com/question/28871321

#SPJ11

The population mean of the given data set is 11.375, the median is 8.5, the mode is 7, the variance is 43.75, and the standard deviation is approximately 6.612.

To find the population mean, we sum up all the values in the data set and divide by the total number of values.

Mean:

(13 + 7 + 21 + 4 + 15 + 23 + 7 + 6) / 8 = 11.375

To find the median, we arrange the data set in ascending order and find the middle value. If there are an even number of values, we take the average of the two middle values.

Median:

Arranging the data set in ascending order: 4, 6, 7, 7, 13, 15, 21, 23

Middle values: 7, 13

Taking the average: (7 + 13) / 2 = 8.5

The mode is the value that appears most frequently in the data set.

Mode:

The value 7 appears twice, which is more than any other value in the data set. So, the mode is 7.

To find the variance, we calculate the average of the squared differences between each value and the mean.

Variance:

[(13 - 11.375)² + (7 - 11.375)² + (21 - 11.375)² + (4 - 11.375)² + (15 - 11.375)² + (23 - 11.375)² + (7 - 11.375)² + (6 - 11.375)²] / 8 = 43.75

The standard deviation is the square root of the variance.

Standard deviation:

√(43.75) ≈ 6.612

To know more about variance, refer here:

https://brainly.com/question/29253308#

#SPJ11

To identify the type of bond as either sigma or pi, first determine the type of bond based on the atomic orbitals involved, then examine the bonding in the molecule to determine whether it is a single, double, or triple bond.

To identify the type of bond as either sigma (σ) or pi (π) in the context of "madison", you would follow these steps:

1. First, understand that "madison" is likely a typo and not relevant to the question. Instead, focus on identifying the type of bond, either sigma (σ) or pi (π).

2. Determine the type of bond based on the atomic orbitals involved. Sigma (σ) bonds are formed when atomic orbitals overlap end-to-end, allowing electrons to be shared between two atoms. Pi (π) bonds are formed when atomic orbitals overlap side-by-side, sharing electrons above and below the bonded atoms.

3. Examine the bonding in a given molecule. Single bonds are always sigma (σ) bonds. Double bonds consist of one sigma (σ) bond and one pi (π) bond, while triple bonds have one sigma (σ) bond and two pi (π) bonds.

By following these steps, you can identify the type of bond as either sigma (σ) or pi (π).

Learn more about sigma and pi bonds:

https://brainly.com/question/14018074

#SPJ11

The above Maximum Entropy Model is equivalent to the multi-class logistic regression model as Z(xi) = ∑y=1K exp(θj fj(xi)). This is the softmax function, which is the basis for the multi-class logistic regression model.

The maximum entropy model can be formulated as follows:

Maximize: H(p) = - ∑i=1n ∑y=1K p(y|xi) ln p(y|xi)

Subject to:

∑y=1K p(y|xi) = 1, for i = 1,...,n

∑y=1K p(y|xi) δ(y,yi) fj(xi) = ∑y=1K p(y|xi) fj(xi), for j = 1,...,d and i = 1,...,n

where δ(y,yi) is the Kronecker delta function.

Using the Lagrangian dual theory, we can rewrite the objective function as:

L = - ∑i=1n ∑y=1K p(y|xi) ln p(y|xi) + ∑i=1n λi(∑y=1K p(y|xi) - 1) + ∑i=1n ∑j=1d θj(∑y=1K p(y|xi) δ(y,yi) fj(xi) - ∑y=1K p(y|xi) fj(xi))

where λi and θj are the Lagrange multipliers.

Taking the derivative of L with respect to p(y|xi) and setting it to zero, we get:

p(y|xi) = exp(θj fj(xi)) / Z(xi)

where Z(xi) is the normalization factor:

Z(xi) = ∑y=1K exp(θj fj(xi))

Substituting this into the constraint ∑y=1K p(y|xi) = 1, we get:

∑y=1K exp(θj fj(xi)) / Z(xi) = 1

which can be simplified to:

Z(xi) = ∑y=1K exp(θj fj(xi))

This is the softmax function, which is the basis for the multi-class logistic regression model.

Therefore, we have shown that the maximum entropy model with feature function fj(xi)=[xi]j is equivalent to the multi-class logistic regression model without regularization.

Know more about regression model here:

https://brainly.com/question/29657622

#SPJ11

The possible lengths( in whole elevation) for the third side is

9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.

 For the below question, we've a rule from the properties of triangle, the sum of the length of any two  sides of the triangle must be lesser than the length of the third side.

Hence

She has two sides of length 18 elevation and 27 elevation

Let the third side = x

Hence

a) 18 27> x

45> x

b) 18 x> 27

x> 27- 18

x> 9

thus, the possible lengths( in whole elevation) for the third side is

elevation< x< 45 elevation

Learn more about properties of triangle here :

https://brainly.com/question/30166682

#SPJ4

The expected rate of return on the common stock of CrisisGreat is 4.43%.

To calculate the expected rate of return on the stock of CrisisGreat, we need to use the formula:

Expected rate of return = (Probability of recession * Rate of return in recession) + (Probability of normal economy * Rate of return in normal economy) + (Probability of boom * Rate of return in boom)

Let's plug in the given values:

Therefore, the expected rate of return on the common stock of CrisisGreat is 4.43%.

Learn more about rate of return

brainly.com/question/24232401

#SPJ11