In the figure below, k || l and m || n. Find the values of y and x.

In The Figure Below, K || L And M || N. Find The Values Of Y And X.

Answers

Answer 1

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30


Related Questions

The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610

million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that

are not already provided in the table?

Answers

The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

How to determine the maximum and the least amounts?

The grossing amounts are given as:

Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 million

The selection of two movies could be any of the following selections

Selection = AB, AC, AD, BC, BD, and CD

The gross of each selection is:

AB = $700 million + $680 million = $1.38 billion

AC = $700 million + $610 million = $1.31 billion

AB = $700 million + $420 million = $1.12 billion

BC = $680 million + $610 million = $1.29 billion

BD = $680 million + $420 million = $1.10 billion

CD = $610 million + $420 million = $1.03 billion

In the above computation, the maximum and the least gross amounts are:

AB = $1.38 billion

CD = $1.03 billion

Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

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Answer:

mean of A, C = 655

mean of B, C = 645

mean of C, D = 515

Step-by-step explanation:

you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge

if the length of a square is decreased by 1 unit , the area will be 8 square units.Write an equation for the area of the square

Answers

Answer:

(x-1)²=8.

Step-by-step explanation:

1) if the length before decreasing is 'x', then after decreasing it is x-1;

2) then the area is (x-1)²=8.

PS. the length before decreasing is 1+2√2.

Consider the first 4 transactions in this check register. For what check number did a mistake occur in calculating the balance when the check amount qas debited from the register

Answers

A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.

What kind of transactions are recorded in a Check Register?

The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:

ChecksDebitsCreditsDeposits etc.

Do note that the register referenced in the questions is unavailable hence the general answer.

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help ASAP!!! answer e f g h question

Answers

Step-by-step explanation:

answer......

...........

A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?

Answers

Answer:

volume = 138 cm³

Step-by-step explanation:

Equation

volume of a prism = base area × height

Given:

base area = 23 cm²height = 6 cm

Substituting given values into the equation:

⇒ volume = 23 × 6

                 = 138 cm³

A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.

Answers

The valid conclusions for the manager based on the considered test is given by: Option

When do we perform one sample z-test?

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]

where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

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Answer:

A

Step-by-step explanation:

What is the area of rectangle PQRS? ​

Answers

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²

The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is _____ × 10–8

Answers

Can you add the picture ?? If you don’t mind?? It helps me Answer better

The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

What is the probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The sample-set S consists of all combinations of 6 distinct elements of the set of 50 elements, and;

[tex]\rm |S| =C(50, 6)=\dfrac{50!}{44!6!}[/tex]

The winning event E ⊆ S is just one winning combination, so that

|E| = 1.

Therefore, the probability of winning a lottery is;

[tex]\rm P(E)=\dfrac{|E|}{|S|}\\\\ P(E)=\dfrac{1}{\dfrac{50!}{44!6!}}\\\\\\ P(E)=\dfrac{44!6!}{50!}\\\\ P(E)= 6 \times 10 {-8}[/tex]

Hence, The probability of winning a lottery by selecting the correct six integers from the positive integers not exceeding 50 is 6 × 10–8.

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Rounding please help! Math

Answers

it is just still 5 I believe :P hope this helps

b= c= Please help I need to do this asap

Answers

Your picture isn’t showing up

PLS HELP ILL GIVE EXTRA POINTS NEED ASAP

Answers

The answer is 6 , due to the fact the 9-3 =6

Answer:

5

Step-by-step explanation:

Median from 24 to 28

24 + 28 / 252 / 226

Median from 28 to 34

28 + 34 / 262 /231

Interquartile range

M2 - M131 - 265

Determine the scale factor for each reduction.

a) Quadrilateral B is a reduction of quadrilateral A.

b) Quadrilateral C is a reduction of quadrilateral A.

c) Quadrilateral B is a reduction of quadrilateral C.

Answers

Answer:

c

Step-by-step explanation:

15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9

A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3

Answers

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!

Center (6 , -5) and radius = 3

I NEED THIS ASAP PLEASE

Answers

Answer:

21

Step-by-step explanation:

Two groups of volunteers are cleaning up the football stadium after the Homecoming game. Volunteers from the Band Booster Club have already cleaned 2 rows of bleachers and will continue to clean at a rate of 7 rows per minute. The leadership class has completed 11 rows and will continue working at 4 rows per minute. Once the two groups get to the point where they have cleaned the same number of rows, they will take a break and decide how to split up the remaining work. How long will that take? How many minutes will each group have cleaned by then?


PLS HELP

Answers

Answer:

each group would have cleaned for 3mins

it's would take 3mins before they both take a break

Step-by-step explanation:

band booster club

2 already done

7rows/min

leadership class

11 rows already done

4rows/min

11-2

=9

at 0min leadership class is ahead by 9

min=x

2+7x=11+4x

7x-4x=11-2

3x=9

x=3

after 3mins the leadership class and the club will have both done 23 rows

brailiest please

I need help with the working

Answers

Answer:

288 cm^3.

Step-by-step explanation:

The volume of each small  square = 2*2*2 = 8 cm^3

Each rectangular length of end 2*2 is made up of 12/2 = 6 squares.

There are  6 of these rectangular lengths.

So the volume = 6 * 6 * 8 cm^3

288 cm^3.

Due to an economic downturn, a company had to decrease its staff from 364 employees to 91 employees. What was the percentage decrease in staff?​

Answers

Answer:

25%

Step-by-step explanation:

First, divide 91 by 364

91/364 = 0.25

Multiply this answer by 100

0.25 × 100 = 25%

This gives you what percent of 364 that 91 is

So it is a 25% decrease

Which number is written in scientific notation? 4. 5 times 10 Superscript negative 3 14. 5 times 10 Superscript 2 0. 78 times 10 Superscript negative 6 5. 7 times 4 Superscript 8.

Answers

The number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.

Given numbers are:

1)[tex]4.5*10^{-3}[/tex]

2)[tex]14.5*10^{2}[/tex]

3)[tex]0.78*10^{-6}[/tex]

4)[tex]5.7*4^8[/tex]

What is the scientific notation of numbers?

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

In the first number [tex]1 < 4.5 < 10[/tex] multiplied by [tex]10^{-3}[/tex]

As per the definition [tex]4.5*10^{-3}[/tex] is written in scientific notation.

The Rest of the numbers do not follow the definition of scientific notation so they are not in scientific notation.

Hence, the number [tex]4.5*10^{-3}[/tex] is written in scientific notation whereas the rest of the numbers are not written in scientific notation.

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ASAP Please i need this done in the next 20 minutes

cos^2B-sin^2B=3cosB+1

Answers

the answer is "Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified"

A bag contains 9 tiles, each with a different number from 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. In how many different ways can you choose three tiles

Answers

Using the combination formula, it is found that there are 84 ways to choose the three tiles.

The order in which the tiles are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, three tiles are chosen from a set of nine, hence:

[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]

There are 84 ways to choose the three tiles.

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How do you find perimeter?

Answers

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

please answer it quickly​

Answers

Hey there!

This is the formula:

V=πr²h

V=π(7)²5

V=49π5

V=245π

V≈769.7 ft³(cubic feet)

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

The small cylinder can fill the big cylinder to a height of 5cm. Work out the radius if the big cylinder

Answers

The radius of the bigger cylinder is 5.857 cm

Smitville is located between Jonesville and Cityville. Smitville is five times as far away from Cityville as it is from Jonesville. If the distance between Jonesville and Cityville is 288 km, how far is it from Jonesville to Smitville?

Answers

<-------------------288km---------->

x=48 km 5x=240km

⊙__________⊙___________⊙

jonesville smitville cityville

6x=288

x=48

=48km

Which of the following is not an exponential function?

Answers

the answer would be B! there are no exponents in that answer choice!

What shapes have only one pair of parallel sides?

Answers

Answer:

A TRAPEZOID!!

Step-by-step explanation:

Answer:

Trapezoids have only one pair of parallel sides

let a and b be the roots of the equation x^2 - 3x - 1 = 0. Find a^3 + b^3

hint: a^3 + b^3 = (a+b)(a^2-ab+b^2)

URGENT PLEASE

Answers

Answer:

Correct option is A)

Given,a,b are distance roots of x

3

+3x

2

−1=0

⇒a

3

+3a

2

−1=0 and b

3

+3b

2

−1=0

let the third root be c

then c

3

+3c

2

−1=0

product of roots =

a

−d

=

1

−(−1)

=1

abc=1

c=

ab

1

but c is root of x

3

+3x

2

−1=0

⇒c

3

+3x

2

−1=0

(ab)

3

1

+

(ab)

2

3

−1=0

1+3ab−(ab)

3

=0

.....(1)

in equation (1)

(ab)

3

−3(ab)−1=0

⇒ab is root of

x

3

−3x−1=0

∴(ab) is root of

x

3

−3x−1=0

PLEASE HELP AND ANSWER CORRECTLY

I know the axis of symmetry but I don't know how to put it in an equation

please review the graph and answer you may use the other answers to help

Answers

Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Axis of symmetry:  x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

A box of tissues is shaped like a rectangular prism and has a volume of 288 cubic inches. The box has a height of 4 inches and a length of 12 inches.

What is the width of the tissue box?

Answers

Answer:

6 in

Step-by-step explanation:

4×12×w=288

48×w=288

/48. /48

w=6

Impaired brain function as a result of drug use involves all of the following except: a. increased confusion b. errors in judgment c. memory loss d. increased concentration

Answers

Increased concentration is the answer as drug impairs our ability to control ourselves.

Hope it helps!

Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

What is impaired brain function?

A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.

Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.

Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.

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