i need help with 1 and 2

parallel and perpendicular lines

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

i cant see the whole thing

Step-by-step explanation:

ANSWER

EXPLANATION

We want to solve for the length, l, in the formula for the area of a rectangle:

We simply want to make the length the subject of the formula. To do this, divide both sides of the formula by w:

That is the answer.

The two triangles are congruent since they have equal angles and equal sides.

Congruent triangles are two triangles that have exactly the same size and shape.

In other words we can say that they have the same angles and the same side lengths.

So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.

For the given triangles

The missing value of angle C = 180 - (18 + 110) = 52⁰

The missing value of angle F = 180 - (18 + 52) = 110⁰

So it is obvious that the two triangles are congruent since they have equal angles and equal sides.

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a . After stopping for lunch Elena has travelled 50 miles.

b . She is less than 9 / 10 to her grand mother's location after travelling for 110 miles.

She is  traveling to visit her grandparents who live 125 miles away.

a.

She stops for lunch 2/3 of the way.

The distance she has travelled after she stopped for lunch can be calculated as follows:

distance in miles = 2 / 5 × 125

distance in miles = 2 × 25

distance in miles = 50 miles

b.

She enters the city where her grandmother lives after 110 miles.

Hence,

9 / 10 × 125 = 1125 / 10 = 112.5 miles

Therefore, she is less than 9 / 10 of her way there.

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Answer:

2 sorry if it’s wrong hope it helped

Step-by-step explanation:

Answer:

57%

Step-by-step explanation:

The Axis of Symmetry is x = -2

We can easily find the Axis of Symmetry by finding where the vertex is (which is at (-2,-5)

Then we use the x-value/h to answer the Axis of Symmetry

We can find the vertex from the graph by looking at the most curved graph or the minimum point/value at the graph for upward parabola and maximum point/value for downward parabola.

The expected lease term is given as follows:

38.42.

The standard deviation for the lease terms is given as follows:

12.22.

The first step, before obtaining the mean and the standard deviation, is constructing the discrete distribution, with the midpoint of each interval, as follows:

(the midpoint is the mean of the two bounds).

Then the mean is calculated as the sum of each value multiplied by it's respective proportion, as follows:

E(X) = 0.13 x 18.5 + 0.352 x 30.5 + 0.25 x 42.5 + 0.264 x 54.5 + 0.004 x 66.5 = 38.42.

The standard deviation is calculated as the square root of the sum of the difference squared between each term and the mean, as follows:

S(X) = square root(0.13 x (18.5-38.42)² + 0.352 x (30.5-38.42)² + 0.25 x (42.5-38.42)² + 0.264 x (54.5-38.42)² + 0.004 x (66.5-38.42)²) = 12.22.

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Step-by-step explanation:

gfyiaycoeayclpb tydivh.

we must add the hours of each group

Paloma and Abdul

Ben and Min

now we do a subtraction to see how many more hours a group works

Answer:

0.4 or 2/5

Step-by-step explanation:

Dana surveyed 20 students in total and out of those 20 only 8 got an A

so:

\(\frac{8}{20}\) now if you simplify it \(\frac{4}{10}\) and if you simplify it again:

\(\frac{2}{5}\) or 0.4 in decimal

Answer:

thought it was Jack and Jill what the hell

Answer:

She decides to use the same type of paper for each airplane

Step-by-step explanation:

Answer:

b just did it

Step-by-step explanation:

Answer:

You chose the correct option on the picture

x = -4; x = 12

Step-by-step explanation:

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

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x + 4 = 0
x − 12 = 0

Set x + 4 equal to 0 and solve for x.

Set x+4 equal to 0.

x+4=0

Subtract 4 from both sides of the equation.

x = −4

Set x − 12 equal to 0 and solve for x.

Set x−12 equal to 0.

x−12=0

Add 12 to both sides of the equation.

x=12

The final solution is all the values that make (x+4)(x−12)=0 true.

x=−4,12

Sorry for taking a while but have a good day

Answer:

a

The 95% confidence interval is \(1003 < \mu <1023\)

b

Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States

Step-by-step explanation:

From the question we are told that

   The population mean is  \(\mu = 1000\)

   The sample size is  \(n = 453\)

   The sample mean is  \(\= x = 1013\)

    The standard deviation is \(s = 108\)

Given that the confidence level is  95% then the level of significance is mathematically represented as

            \(\alpha = 100 - 95\)

=>         \(\alpha = 5\%\)

=>          \(\alpha = 0.05\)

The critical value  for \(\frac{\alpha }{2}\) obtained from the normal distribution table is          

          \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

         \(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)

=>     \(E = 1.96 * \frac{108}{\sqrt{453} }\)

=>      \(E = 9.946\)

Generally the 95% confidence interval is mathematically represented as

           \(\= x - E < \mu < \= x + E\)

=>         \(1013 - 9.946 < \mu < 1013 + 9.946\)

=>         \(1003 < \mu <1023\)

Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States

Answer: -0.25

Step-by-step explanation:

Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)

+3 on both sides of equal sign, which gives you

8n=-2

then divide by 8 on both sides (undo the times 8)

n=-0.25

Answer: -0.25

Step-by-step explanation:

Start by undoing with PEMDAS (order of operations, P-parenthesis, E-exponents, etc)

+3 on both sides of equal sign, which gives you

8n=-2

then divide by 8 on both sides (undo the times 8)

n=-0.25

Answer:(2,-3)

Step-by-step explanation:

If the nail is measured with a ruler and its length is 5.46 cm , then the correct statements are :

(a) The uncertainty can be expressed by reporting the measurement as 5.46 ± 0.1 cm ;

(b) The uncertainty is in the final digit of the measurement .

The Uncertainty of a number helps to estimates in comparison of experimental numbers .

it is given that , the reported length of the ruler is = 5.46 cm ;

we know that ,

the uncertainty In any number , is present in last digit only ,

the place value of the last digit in 5.46 is 0.01 .

So , uncertainty can be expressed by reporting measurement as 5.46 ± 0.1 cm

Therefore , the correct statements about the certainty and uncertainty are (a) and (b) .

The given question is incomplete , the complete question is

A nail is measured with a ruler and its length is reports as 5.46 cm.

Select ALL the statements that are correct about the certainty and uncertainty represented in this recorded measurement.

(a) The uncertainty can be expressed by reporting the measurement as 5.46 ± 0.1 cm ,

(b) The uncertainty is in the final digit of the measurement ,

(c) All three digits shown in the measurement are known with certainty ,

(d) The uncertainty can be expressed by reporting the measurement as 5.46 ± 0.01 cm  .

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Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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Answer:

893

Step-by-step explanation:

893 is too far away to round to 880. It would actually round to 890.

The last digits of 883 and 882 are small enough to round to 880.

The last digit of 878 is large enough to round to 880.

Answer:

893

Step-by-step explanation:

We round down if the digit is less than 5

We round up if the digit is 5 or more

Rounding to the nearest 10:

893 → 890 (round down as 3 is less than 5)

883 → 880 (round down as 3 is less than 5)

882 → 880 (round down as 2 is less than 5)

878 → 880 (round up as 8 is more than 5)

So the only number that does NOT round to 880 is 893.

Answer:

10

Step-by-step explanation:

Let the first number be x, and the second number be y.

x + y = 5

x - y = 2

Solve for x in first equation.

x + y = 5

x = 5 - y

Put x as 5-y in the second equation, and solve for y.

(5-y) - y = 2

5 - 2y = 2

-2y = -3

y = 3/2

Put y as 3/2 in the first equation and solve for x.

x + y = 5

x + 3/2 = 5

x = 7/2

The difference of their squares would be:

(7/2)² - (3/2)²

49/4 - 9/4

40/4 = 10

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

The graph for the linear equation y = - 4 x + 2 has been obtained.

We are given a linear equation:

y = - 4 x + 2

We need to graph this linear equation.

We will first find out some points that satisfies this equation.

So, the points are:

 x           y

- 2         10

- 1           6

0           2

1          - 2

2         - 6

Now plotting these points on the graph, we can obtain the graph of the linear equation.

Therefore, the graph for the linear equation y = - 4 x + 2 has been obtained.

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yes, prime number is divisible by itself.

Prime numbers are numbers greater than 1. They only have two factors, 1 and the number itself. This means these numbers cannot be divided by any number other than 1 and the number itself. A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Numbers that have more than two factors are called composite numbers.

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\(B'=\{f,g,h,p,x\}\\B'\cup A=\{f,g,h,p,q,r,x\}\\(B'\cup A)\cap C=\{g,h,p,q\}\)