Math 8
given:triangle TWO is coungruent to triangle ISX
m of angle O is = 55 degrees
SX = 4
find: a. M angle X = ____
b. WO = ____

Answers

Answer 1

According to the exterior angle theorem, Sum of internal opposing and angles = exterior angle \(x = 52\frac{1}{2}\)

Let each inner opposite angle to equal x.

105 \(= x + x\\ 105 = 2x\\x = 52\frac{1}{2}\)

What makes triangle congruence criteria so special?

Two figures are identical when and only when we can use stiff transformations to transfer one onto the other. All related sides and angles remain congruent because stiff transformations maintain distance and angular measurements. It means that measuring all of the lengths and angles of a combination of triangles is one approach to determine if they are congruent.

The triangle congruence requirements provide us with a shorter path! Using as few as

3 33 of the measures, we may frequently establish whether triangles are congruent are completely consistent.

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Related Questions

Triangle PQR is formed by the three squares A, B, and C:

A right triangle PQR is shown. On the side PQ of this triangle is a square. Inside the square is written Square A, Area equal to 9 square units. On the side QR of this triangle is another square. Inside the square is written Square B, Area equal to 16 square units. On the side PR of this triangle is another square. Inside the square is written Square C, Area equal to 25 square units.

Which statement best explains the relationship between the sides of triangle PQR?

(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
PQ + QR = PR, because 9 + 16 = 25
(PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42
PQ + QR = PR, because 52 + 32 = 42

Answers

Answer:  I believe A is the correct answer

Step-by-step explanation:

-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?

Answers

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

which of the following statements is an example of computer-readable data? a handwritten note brain waves a physical photograph a digital spreadsheet filled with measurements about the air quality of different major cities

Answers

The correct answer is d. A detailed spreadsheet filled with measurements about the air quality of different major cities is an example of computer-readable data.

Computer-readable data refers to any information that can be interpreted and processed by a computer system. A handwritten note, brain waves, and a physical photograph cannot be read and interpreted by a computer without undergoing a digitization process first.

On the other hand, a detailed spreadsheet containing well-structured data that can be easily read by a computer, such as in the case of air quality measurements, can be easily processed and analyzed by computer software. This data can be used to generate visualizations, perform statistical analysis, and extract insights that can inform decision-making.

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The question is -

Which of the following statements is an example of computer-readable data?

a. A handwritten note

b. Brain waves

c. A physical photograph

d. A detailed Spreadsheet filled with measurements about the air quality of different major cities

pls hElp Me IF CORRECT I Will make u brainliest Simplifi it

pls hElp Me IF CORRECT I Will make u brainliest Simplifi it

Answers

The answer is 2^9. Cancel out the bottom numbers. Then multiply.

Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x xx seconds after diving, is modeled by h ( x ) = − 5 ( x + 1 ) ( x − 3 ) h(x)=−5(x+1)(x−3)h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 3, right parenthesis What is the height of Ana above the water at the time of diving? meters

Answers

Answer: 15 meters

Step-by-step explanation:

Given the relation:

h(x) = −5(x+1)(x−3)

Where h is the height at time 'x' after diving

At the time of diving, time 'x' = 0, that her height just before making the dive

Therefore,

h(0) = - 5(0 + 1)(0 - 3)

h = - 5(1)(-3)

h = - 5 × - 3

h = 15

Therefore, h = 15 meters

Answer:

15 meters but you should give the other person brainliest!! they did really good!!

Step-by-step explanation:

y = 1,000x is that a constant proportionality

Answers

yes, y = 1,000x is a constant proportionality

Cinemark is having a summer special.If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.Write a linear equation that will show the cost of membership and each movie seen

Answers

Answer:

Y=12.50x+2.00

Step-by-step explanation:

The linear equation that will show the cost of membership and each movie seen will be C = 2n + 12.5.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Cinemark is having a summer special. If you get a membership one-time cost is $12.50 plus $2.00 per movie that you watch.

The slope of the line is $2.00 and the y-intercept of the line is $12.50.

Let C be the total cost and n be the number of movies. Then the linear equation will be

C = 2n + 12.5

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What is the product?
(9t - 4)(-9 t - 4)

negative 81 t squared minus 16
negative 81 t squared + 16
negative 81 t squared minus 72 t + 16
negative 81 t squared + 72 t + 16

Answers

Negative 81t squared + 16

hope this helps!!

Answer:

The product is  -81 t² + 16

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

Multiply (ax) by (cx) ⇒ 1st × 1st

Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears

Add the two products ⇒ like terms

Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Can somebody plz help answer these questions correctly (only if u know how) thanks!! :D

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST!!

Can somebody plz help answer these questions correctly (only if u know how) thanks!! :DWILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

35. 4

36. 4

37. 16

38. 4

39. 2

40. 2

Answer:

35. 4

36. 4

37. 16

38. 4

39. 2

40. 2

Step-by-step explanation:

35. Y/3

= 12/3

= 4

36. x/2

= 8/2

= 4

37. xy/6

= 8 * 12/6

= 96/6

= 16

38. y/6 + x/4

= 12/6 + 8/4

= 2 + 2

= 4

39. 24/x - 1

= 24/8 - 1

= 3 - 1

= 2

40. y + 2/7

= 12 + 2/7

= 14/7

= 2

suppose a problem asks for the probability of at most four successes when there are only five trials. which one of these expressions would provide the answer?

Answers

The sum of all these probabilities is equal to 1, which is the total probability of all possible outcomes.

To solve this problem, we need to consider all the possible outcomes that result in at most four successes. These outcomes are:

0 successes

1 success

2 successes

3 successes

4 successes

The probability of each of these outcomes can be calculated using the binomial distribution formula:

P(k) = (n choose k) \(* p^k * (1-p)^(n-k)\)

where n is the number of trials, k is the number of successes, and (n choose k) is the binomial coefficient, which is equal to n!/(k!*(n-k)!).

To find the probability of at most four successes, we need to add up the probabilities of all these outcomes. So the expression that would provide the answer is:

P(0 successes) + P(1 success) + P(2 successes) + P(3 successes) + P(4 successes)

This expression includes all the possible outcomes that correspond to having at most four successes in five trials. Note that it does not include the probability of having five successes, since we are only interested in the probability of at most four successes.

For example, if the probability of success in each trial is 0.3, then the probability of having zero successes is:

P(0 successes) = (5 choose 0)\(* 0.3^0 * 0.7^5 = 0.168\)

Similarly, the probability of having one success is:

P(1 success) = (5 choose 1) \(* 0.3^1 * 0.7^4 = 0.360\)

We can calculate the probabilities of having two, three, and four successes in a similar way. Then, we can add up all these probabilities to get the probability of at most four successes:

P(at most 4 successes) = P(0 successes) + P(1 success) + P(2 successes) + P(3 successes) + P(4 successes)

In this example, we get:

P(at most 4 successes) = 0.168 + 0.360 + 0.308 + 0.132 + 0.032 = 1.000

Note that the sum of all these probabilities is equal to 1, which is the total probability of all possible outcomes.

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Find the median & mean of 1.3 ,2.1, 1.8, 2.3, 2.2, 1.5

Answers

Mean : 1.9

Median : 1.95

These are the answers.

What is the example of cardiovascular in physical fitness?

Answers

Some examples of cardiovascular in physical fitness activities are:

Jogging, cycling, swimming, aerobics, rowing, stair climbing, hiking, cross-country skiing, and sport-related games.

What is cardiovascular fitness?

Cardiovascular fitness is a positive health component of staying fit that is brought about by routine physical activity.

We have,

Cardiovascular fitness tells about our health and the potential for health outcomes.

Some examples of cardiovascular in physical fitness activities are:

- Walking

- Jogging

- Running

- Cycling

- Swimming

- Aerobics

- Rowing

- Stair climbing

- Hiking

- Cross-country skiing

- Sports

Thus,

The examples are mentioned above.

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Mary’s cat lost two pounds in five weeks. Which rational number does not show the average change in the cat’s weight?

A. −(2/5)

B. −2/5

C. −2/−5

D. 2/-5

Answers

Answer:B

Step-by-step explanation:

Answer:

The answer is C. -2/-5

Step-by-step explanation:

I tried B, but it was incorrect, so then I tried C, turns out C was correct my dudes.

you select 3 students at random from each school. what is the probability that the mean iq of the 3 north catalina students is at least 5 points higher than the mean iq of the 3 chapel mountain students?

Answers

The probability that the mean IQ of three North Catalina students is at least 5 points higher than the mean IQ of three Chapel Mountain students needs to be determined.

To calculate the probability, we need to consider the IQ scores of both groups as random variables. Assuming the IQ scores follow a normal distribution, we can calculate the probability based on the difference between the means of the two groups.

Let's denote the mean IQ of the North Catalina students as μ1 and the mean IQ of the Chapel Mountain students as μ2. We are interested in finding the probability that μ1 - μ2 is at least 5 points.

To calculate this probability, we need to know the standard deviation of IQ scores for both groups and assume they are equal. Additionally, we assume that the IQ scores of individual students are independent.

By applying statistical techniques, such as the Central Limit Theorem or the distribution of the difference between two means, we can determine the probability of interest.

It's important to note that the specific values for the means and standard deviations of IQ scores for the two groups are not provided in the question. Therefore, the calculation of the probability will require this missing information.

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Please help!!!!!!!!!!!!

Please help!!!!!!!!!!!!

Answers

Answer:

its d

Step-by-step explanation

you multiply 3 x 3.14 and see if its greater

Which of the following equations does the graph below represent?

Which of the following equations does the graph below represent?

Answers

Answer:

The answer is -3x + 6y = 36

Step-by-step explanation:

THIS IS 16 POINTS PLEASE HELP

THIS IS 16 POINTS PLEASE HELP

Answers

Answer:

C) $540

Step-by-step explanation:

180 + (120 x 0.20)(15) = $540

Answer:

C. 540

Step-by-step explanation:

120 × 15

=1800

1800 × 20%

=360

360 + 180

= 540

A car travels a distance of 360 km in a time of 3 hours.
What is the car's average speed?

Answers

Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

A sample of 30 incoming college students was taken and whether or not they took the SAT in high school was recorded. A 95% confidence interval for p is (9.2 %, 10.8%). a.) The individual object in the study was a randomly selected This is computer-graded so use exact wording from the problem above. Remember an individual is ONE of something. b.) What was the variable information recorded for each object in the study? This is computer-graded so use exact wording from the problem above. The variable information was whether or not they c.) State the statistical interpretation of the confidence interval in the context of this problem. Select an answer the Select an answer of? incoming college students that took the % and SAT in high school is between % d.) What is the symbol and value of the point estimate for p? ? V - % e.) What is the margin of error for the given interval? % f.) Fill in the boxes below to show the relation on the number line between the numeric values of the point estimate and the interval estimate for p. <--A- ---------С-----...) A= %B- % C

Answers

The statistical interpretation of this interval is that we can be 95% confident that the true proportion of incoming college students who took the SAT in high school falls within this range.

a.) The individual object in the study was a randomly selected incoming college student.

b.) The variable information recorded for each object in the study was whether or not they took the SAT in high school.

c.) The statistical interpretation of the confidence interval in the context of this problem is that we can be 95% confident that the true proportion of incoming college students who took the SAT in high school is between 9.2% and 10.8%.

d.) The symbol for the point estimate is "p" and its value is not provided in the given information.

e.) The margin of error for the given interval is (10.8% - 9.2%)/2 = 0.8%.

f.) The relation on the number line between the numeric values of the point estimate and the interval estimate for "p" is that the point estimate value falls within the interval estimate, indicating that the point estimate is within the range of possible values for the proportion.

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PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)

PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP

Answers

Answer:

18

Step-by-step explanation:

Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)

Two friends, Ellie and Easton, took summer jobs. The equation y = 19.2x represents Ellie's earnings in dollars and cents, y, for working x hours. Easton earned $629.10 in 27 hours.​

Answers

Answer:

I don't know what's I don't know I'm really sorry very very very very very very very very very very very very sorry very sorry

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains pure antifreeze. The company wants to obtain gallons of a mixture that contains pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed

Answers

Answer: Water: 120 gallons

Premium Antifreeze: 200 gallons

Step-by-step explanation:

Had to complete the question first.

A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Water: ____ gallons

Premium Antifreeze: _____ gallons

Solution:

Let w = amt of water required

An equation based on the the percent water, an 80% solution is 20% water

Multiply through

= 20% (320 - w) + w = 50% x ( 320)

64 - 0.2w + w = 160

Collecting like times

0.8w = 160 - 64

w = 96%

w = 120 gal of water to produce 320 gal of 50% antifreeze

320 - 120 = 200 gal of 80% solution

Water: 120 gallons

Premium Antifreeze: 200 gallons

4. researches investigated the effect of listening to music by mozart before taking an iq test. subjects were randomly assigned to one of three groups and would either listen to mozart music, be told to relax, or be given no instructions. the sample mean iq in the mozart group was 119, in the relax group was 111, and in the silent group was 110. a. is this an experiment or an observational study? b. if it is an experiment, is it randomized or block design? c. if it is an experiment, identify the explanatory and response variables. d. if this is an experiment, draw a diagram representing the levels and treatments.

Answers

a) the study has been done by controlling the groups hence it is an experiment.

b) The persons are assigned randomly o each group hence it is a randomized design.

c) the explanatory and response variables. are:

Effect of listening to music by Mozart

IQ of the person

What are an experiment and observational study?

In observational research, participants are measured or surveyed without any attempt to influence them. In a controlled experiment, participants or objects are divided into groups, and one group is given treatment while the other is not.

What are randomized or block designs?

An experimental design known as a randomized block design divides the experimental units into units known as blocks. The experimental units inside each block are assigned the treatments at random. We have a fully randomised block design when each block has at least one instance of each treatment.

a. Is this an experiment or an observational study?

Since the study has been done by controlling the groups hence it is an experiment

b. If it is an experiment, is it randomized or block design?

Since the persons are assigned randomly o each group hence it is a randomized design

c. If it is an experiment, identify the explanatory and response variables.

explanatory variable = effect of listening to music by Mozart

response variable =  IQ of the person

(d)Three levels of the treatment  effect of listening to music by Mozart

level 1: listen to Mozart's music

level 2: told to relax

level 3: no instructions

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I need help in this question

I need help in this question

Answers

Since in the figure, m || n, the value of x is equal to 13.

What are corresponding angles?

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to lines a and b, we have the following:

∠m ≅ ∠n

7x - 1 = 8x - 14

8x - 7x = 14 - 1

x = 13

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(9,−7) after a dilation by a scale factor of 4 centered at the origin?

Answers

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

What is dilation?

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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a doll house has a replica stove that is 5cm tall the actual stove is 100 cm tall what is the scale factor​

Answers

the scale factor would be 20

How do you solve equations with fractions like this? I'm v v confused
-3x + 4/5 = -2/3x + 12​

Answers

Answer:

Step-by-step explanation:

You first collect isolate all the variables

-3x+4/5=-2/3x+12

Subtract 4/5 from both side and add2/3x from both sides

-7/3x=56/5

You then multiply both sides by the reciprocal of the coefficient of the variable, in this case -3/7

-7/3x*(-3/7)=(56/5)*(-3/7)

x=-168/35

x=-24/5

Traveling 15 miles in 20 minutes, how many miles per hour must you be going?

Answers

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation

Juan has just completed a 15 kilometer race in 20 minutes.  What was his average speed in kilometers per hour?

Solution

First, 15 kilometers is a distance, so

       d  =  15

Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute.  We need to convert 20 minutes to hours.  Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took

t  =  20 minutes / 60 minutes per hour =  1/3 hours

Now we can use the d=rt equation:

15  =  (r)(1/3)

If we multiply both sides

(3)(5)  =  (r)(1/3)(3)  or  r  =  45

Juan's average speed was 45 kilometers per hour.

A sector of a circle has an arc length of π cm and a central angle of π6 radians. What is the area of the sector?

A. 5π cm²
B. 2π cm²
C. 3π cm²
D. π cm²

Answers

Answer:

C

Step-by-step explanation:

The Area of sector is π cm². so option D is correct.

How to find the area of a sector of a circle?

The sector of a circle is like a slice of a circular pizza.

\(A = \dfrac{x \times \pi r^2}{360} \: \rm unit^2 area\)

Mathematically π  radians = 180 degrees

thus, π /6 radians =  180/6 = 30 degrees

The formula for the length of an arc is;

Ф/360 x 2πr

where Ф, is 30 degrees

And the arc length is pi

so we have

30/360 x 2πr = π

30/360 x 2r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

Ф/360 x πr^2

30/360 x π36

= π cm^2

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the greatest solution of x in the equation x^2+8x−30=18

Answers

Answer:

The two possible outcomes are 4 and -12, so 4

Step-by-step explanation:

The greatest value of x  is 4.

What is factorization?

Factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization.

Given equation

\(x^{2} +8x-30 = 18\)

⇒ \(x^{2} +8x-30-18=0\)

⇒ \(x^{2} +8x-48=0\)

⇒ \(x^{2} +12x-4x-48=0\)

⇒ \(x(x+12)-4(x+12)=0\)

⇒ \((x+12)(x-4)=0\)

x = -12 and x = 4

Hence, the greatest value of x  is 4.

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What will their credit limit be if the bank bases their credit limit on equity invested and will loan them 65% of the equity? If the bank bases their credit limit on equity invested and will loan the 65% of the equity, their credit limit will be $___? (Round to the nearest dollar.) What is Fintech? Give an example of a digital platform anddiscuss its prospects for taking business from the traditionalsuppliers of financial services in NZ. What are the main argumentsfor and aga when a relationship is failing, individuals tend to attribute positive behavior of their partner to causes, and negative behavior of their partner to causes. The absolute pressure in a compressed air tank is 180 kPa. What is this pressure in psia? The pressure in psia is ____ psia. charley brings her young daughter into the emergency room with internal bleeding. the attending physician later concludes that charley caused the symptoms in her daughter intentionally, wanting to gain attention and praise for her devoted care of her sick child. if this assessment is correct, the appropriate diagnosis is: 5.4 ADDING A MULTIPLE OF THE ith ROW TO THE jth row. Example 6: Create a 5 by 5 matrix, E by typing: Type: =[11 2-134:10-1-2-1; 8 3 2 11:10-2-3-2:1112-1]. Find det(E) by typing: Type DE =det(E) Which of the following are tasks that can be performed by a protocol analyzer that could provide potential intruders with information about the network? (Choose all correct answers.)A protocol analyzer can decrypt protected information in packets captured from the network.A protocol analyzer can detect open ports on network systems and launch attacks against them.A protocol analyzer can display the IP addresses of the systems on the network.A protocol analyzer can display the application data in packets captured from the network. Part I(1) Can the Black-Scholes pricing model be used to price the American call option on a non-dividend-paying stock? If yes, explain. If not, what model can be used?(2) Can the Black-Scholes pricing model be used to price the American put option on a non-dividend-paying stock? If yes, explain. If not, what model can be used?Part IIAssume that a stock is due to go ex-dividend in 1.5 months. The expected dividend is 50 cents. Consider an option on this stock when the stock price is $30, the exercise price is $29, the risk-free interest rate is 5% per annum, the volatility is 25% per annum, and the time to maturity is four months. What is the price of the option if it is a European call? what is the measurement of angle 1 ?