Mathematics College

What’s the correct answer for this?

Answers

Answer 1

Answer:

34°

Step-by-step explanation:

According to the theorem, "any two angles in the same segmant are congruent"

<BED = <BCD

<BED = 34°

Related Questions

A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Answers

Answer:

We calculate the squares of the two littlest sides and add them :

100

We now calculate the square of the biggest side :

100

They are equal, and thus, the triangle is a right triangle.

(

is right in

)

Step-by-step explanation:

Continues (- infinity , infinity) find c
[ cx^2 + 8x
if x < 5
X^3 - cx if x> 5

Answers

It sounds like you're asked to find c such that f(x), defined by

$f(x)=\begin{cases}cx^2+8x&\text{for }x<5\\x^3-cx&\text{for }x>5\end{cases}$

is continuous at x = 5.

With the strict inequalities given in the definition, this is not possible. So you probably meant to use ≤ or ≥ in one of the pieces of the definition.

In order for f(x) to be continuous at x = 5, the limit from either side as x approaches 5 must be the same.

We have

$\displaystyle\lim_{x\to5^-}f(x)=\lim_{x\to5}(cx^2+8x)=25c+40$

and

$\displaystyle\lim_{x\to5^+}f(x)=\lim_{x\to5}(x^3-cx)=125-5c$

Then

$25c+40=125-5c\implies30c=85\implies c=\dfrac{85}{30}=\boxed{\dfrac{17}6}$

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

BC = 24 (D)

Step-by-step explanation:

Special Right Triangles (30-60-90 triangle)

Calculate the probability for the following situation, then select the correct answer:

You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?

Answers

The probability is P = 0.135

How to find the probability?

First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.

P(head) = 1/2P(odd number) = 3/6 (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).

The joint probability is given by the product between the individual probabilities, so we get:

P = (1/2)*(3/6)*(28/52) = 0.135

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Find the value of X.

Answers

Answer:

x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

Relation

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

24² = 12(12 +x)

2·24 = 12 +x . . . . . . . divide by 12

36 = x . . . . . . . . . subtract 12

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WILL GIVE BRAINLEST 100Pts
ANSWER ALL QESTIONS PLS!!!!!!!!!!!!!!!!
A.Write the algebraic expressions representing the length and with of Marlene's house.

B.Write the algebraic expression representing the perimeter of Marlene's house in simplest form

C.If the perimeter is 142 feet, find the value of x.
22. Use the information from Question 21. Show how the Distributive Property can be used to find the area of Marlene's living room.

23 Use the algebraic expression for length and width of Marlene's living room found in the diagram and the value of x found in Question 21C

A.find the actual length and width of her living room.

B. Find the actual area of Marlene's living room use actual dimensions

24. Using the algebraic expression for the area found in Questions 22B, find the area of the living room.

25. Are your answers to Question 23B and Qestions 24 the same? What can you conclude?

Answers

Answer:

A .

length : 2x + 2 + x - 4 + x-2

= 2x + 2 + - 4 + x-2

= 2x + x - 4 + x - 2

= 4x -6

width : x - 2 + x

= 2x -2

to find the perimeter

perimeter of rectangle = 2 ( l + b)

= 2 (4x -6 + 2x -2)

= 2 ( 6x - 8)

= 12x - 16

perimeter of Marlene's house in simplest form is 12x - 16

perimeter = 142 finding the value of x ..

142 = 12x - 16

12x = 142 + 16

12x = 158

x = 158/12

x = 13.16

22.

area of living room = length × breadth

= 2x + 2 ×x

= 2 (13.16) + 2 × 13.16 (distributive property used)

= 26.32 + 2 × 13.16

= 28.32 × 13.16

= 372.6912

area of her living room = 372.6912

23. to find the length and width of Marlene's living room

length = 2x + 2

= 2 (13.16) + 2

= 26.32 + 2

= 28.32

Width = x

= 13.16

A .

The actual length of her living room is 28.32

The actual width of her living room is 13.16

The actual area of Marlene's Living room is 372.6912 feet (given above) using actual dimensions

24.

Actual area of living room = length × breadth

= 2x + 2 ×x

= 2 (13.16) + 2 × 13.16 (distributive property used)

= 26.32 + 2 × 13.16

= 28.32 × 13.16

= 372.6912

Actual area of her living room = 372.6912

25.

Yes the answers to Question 23B and Qestions 24 are same .

We can conclude by saying that the x value doesn't change

Tom works in chilled food department in a supermarket all fresh juices should be kept at a certain temperature as shown on thermometer

Answers

The temperature change that is required is; A reduction in temperature by 8°C.

How to find the change in temperature?

We are told that;

The freezer should be working at -18°C.

The temperature on the freezer marks -10°C.

Now, what we see here is basic arithmetic because we simply want to find the additional temperature that will make the current reading to be equal to the ideal temperature required for it to wor. Thus, what we will do is to simply subtract the current temperature from the ideal one to find out the temperature required to make it work well.

Thus;

Temperature change = -18 - (-10)

Temperature change = -18 + 10

Temperature change = -8°C.

We see that the freezer still needs its' temperature to be reduced by 8°C.

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Complete question is;

Tom works in the cold food department in a supermarket. The thermometer shows the temperature of one of the freezers. The freezer should be working at -18°C. The temperature on the freezer marks -10 The temperature should increase or decrease by how many °C?

Bag A has five red marbles and two green ones. Bag & has seven red
marbles and three green ones.
Which bag has the greater probability of drawing a green marble?

Answers

Answer:

bag B

Step-by-step explanation:

bag A: 5R and 2G

bag B: 7R and 3G

Bag A probability for green is 2/7

bag B probability for green is 3/10

if we convert the fractions to have a common denominator:

bag A: 20/70

bag B: 21/70

so bag B has the greater probability of drawing a green marble

(04.07A)
Two quantities are related, as shown in the table below:

x y
2 3
4 4
6 5
8 6

Which equation best represents the relationship?

Answers

Answer:

The equation that best represents the relationship is $y=\frac{1}{2}x+2$.

Step-by-step explanation:

We are given the following table representing the two quantities below;

x y

2 3

4 4

6 5

8 6

Firstly, we will find the two-point slope here, that is;

Consider two points; ($x_1,y_1$) = (2, 3) and ($x_2,y_2$) = (4,4)

Now, the formula for finding slope is;

Slope = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{4-3}{4-2}$ = $\frac{1}{2}$

Similarly, finding the slope for the points (6,5) and (8,6);

Slope = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{6-5}{8-6}$ = $\frac{1}{2}$

Now, the linear equation of the line having slope is given by;

$y-y_1=m\times (x-x_1)$ ; where m = slope and consider ($x_1,y_1$) = (2, 3)

So, the equation of the line is;

$y-3=\frac{1}{2} \times (x-2)$

$y-3=\frac{1}{2}x-1$

$y=\frac{1}{2}x+2$

Hence, the equation that best represents the relationship is $y=\frac{1}{2}x+2$.

Answer:

y = -1/2x + 11

If the median is 3.5, we can assume the mean is ____________than 3.5

Answers

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

What is mean?

The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.

According to question:

We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.

For example, consider the following two data sets:

Set 1 data: 1, 2, 3, 4, and 5.

The median is 3.

The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.

Data set 2: 1, 2, 3, 4, 10

The median is 3.

The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.

In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.

Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.

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Evaluate the expression shown below and write your answer as a fraction in simplest form.
\frac{3}{8}-\frac{1}{6}
8
3

−
6
1

Answers

Step-by-step explanation:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly.

I hope this helps.

Answer:`=3

Step-by-step explanation:

8/3

8-3=6

6/3

6-3=

The box plots below show the distribution of salaries at two companies. Compare the ranges and medians of the data sets.
OA
Comp
LLL
Company A
Company B

Answers

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.