Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.

The length of LN is 28 centimeters. What is the length of LP?

7 cm
9 cm
14 cm
21 cm

Answers

Answer 1

Answer:

14 cm

Step-by-step explanation:

Answer 2

The length of the line segment, LP is; 14 cm

Diagonals of a Rhombus

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

LP = 28/2 = 14 cm.

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Related Questions

You pay ​$5500 for a municipal bond. When it matures after 20 ​years, you receive ​11,900$. What % is your total return?

Answers

don’t click the link

A new car loan has a term of loan from 2 - 6 years and the interest rate is between 4% and 8%. what is the longest amount of time you could take to pay off the loan? what is the best interest rate you could get?

Answers

a) The longest time a borrower can take to pay off the new car loan of 2 - 6 years is 6 years.

b) Based on the above, the best interest rate the borrower could get is 8%.

How is the interest rate determined?

Many factors are considered in determining the interest rate for a loan.

Some of the factors include:

Loan TermLoan TypeCredit ScoreLoan AmountDown PaymentInterest rate type.

We know that the longer the term of a loan, the higher the interest rate charged.  This higher rate is meant to compensate the lender for the time value of money, made variable by inflation and credit risks.

Thus, if a loan term varies between two and six years, the longest time to pay off the loan is 6 years while the best interest rate the borrower can be granted is 8%.

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Find X and Y. can someone please help me with this question, thank you

Answers

3x + 120° + x + 120° = 360°

4x + 240° = 360°

4x = 120°

x = 30°

y = 1/2 (3x - x)

y = 1/2 (90° - 30°)

y = 1/2 × 60°

y = 30°

The length of the life an instrument produced by a machine has a normal distribution with mean life of 12 months and standard deviation of 2 months.

What is the probability if X assumes a value greater than 12 months?

Answers

Probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%

If the length of the life of an instrument produced by the machine has a normal distribution with a mean of 12 months and a standard deviation of 2 months, then the random variable X representing the length of the life of the instrument is also normally distributed.

To find the probability that X assumes a value greater than 12 months, we need to use the cumulative distribution function (CDF) of the normal distribution. The CDF is given by the formula:

F(x) = (1/2) * [1 + erf((x - μ) / (σ * sqrt(2)))]

where μ is the mean, σ is the standard deviation, and erf(z) is the error function.

Plugging in the given values, we get:

F(12) = (1/2) * [1 + erf((12 - 12) / (2 * sqrt(2)))] = (1/2) * [1 + erf(0)] = (1/2) * [1 + 0] = 1/2

Since the CDF gives us the probability that X assumes a value less or equal than x, we need to subtract F(12) from 1:

P(X > 12) = 1 - F(12) = 1 - 1/2 = 0.5

So the probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%.

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Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.

0.8d (yes or no)

d – 0.2 (yes or no)


d – 0.2d (yes or no)


1 – 0.2d (yes or no)

Answers

No no yes …………………………..

A high school has found over the years that out of all the students who are offered admission, the proportion who accept is 70%.
After the administration has made some changes to the school, they want to check if the proportion of students accepting
has changed significantly. Suppose they offer admission to 210 students and 156 accept. Is this evidence of a change from
the status quo?

Answers

Answer:

The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.

Step-by-step explanation:

A high school has found over the years that out of all the students who are offered admission, the proportion who accept is 70%. Test if there is a change from status quo.

At the null hypothesis, we test if the proportion is 70%, that is:

[tex]H_0: p = 0.7[/tex]

At the alternate hypothesis, we test if there is a change from status quo, that is, the proportion is different from 70%. So

[tex]H_a: p \neq 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

70% is tested at the null hypothesis:

This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]

Suppose they offer admission to 210 students and 156 accept.

This means that [tex]n = 210, X = \frac{156}{210} = 0.7429[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.7429 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{210}}}[/tex]

[tex]z = 1.36[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.7 by at least 0.7429 - 0.7 = 0.0429, which is P(|z| > 1.36), which is 2 multiplied by the p-value of z = -1.36.

Looking at the z-table, z = -1.36 has a p-value of 0.0869

2*0.0869 = 0.1738

The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.

Zoran graphed the line shown below. Which of the following represents the
equation and slope of the line?

A. y = -7; slope = -7
B. x = -7; slope = 0
C. x = -7; slope is undefined
D. y = -7; slope = 0

20 Points!

Answers

Answer:

option d is correct answer

Step-by-step explanation:

equation y=-7 and slope zero

as equation of staight line y= MX+c

The we can say that the slope of the line is undefined and the {y} - intercept is -7.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that Zoran graphed the line shown in the image.

The line is parallel to the {x} axis. So, it has no slope. Or, we can say that the slope of the line is undefined. It intersects the line at y = -7, at the {y} - axis. So, the {y} - intercept will be {y} = -7.

Therefore, the we can say that the slope of the line is undefined and the {y} - intercept is -7.

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100 POINTS!!! Please help.

Answers

Answer:

[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Step-by-step explanation:

Given expression:

[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]

[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]

Simplify:

[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]

[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]

[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]

Using the paths shown, how long is the shortest route from Lexington to Somerville?

Answers

Answer:

1 [tex]\frac{1}{4}[/tex] miles

Step-by-step explanation:

the routes from Lexington to Somerville are

Lexington → Brookfield → Somerville with distance

[tex]\frac{3}{8}[/tex] + [tex]\frac{7}{8}[/tex] = [tex]\frac{3+7}{8}[/tex] = [tex]\frac{10}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{1}{4}[/tex] miles

the other route is

Lexington → Brookfield → Yardley → Somerville with distance

[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{3+4+4}{8}[/tex] = [tex]\frac{11}{8}[/tex] = 1 [tex]\frac{3}{8}[/tex] miles

the shortest distance is

Lexington → Brookfield → Somerville , a distance of 1 [tex]\frac{1}{4}[/tex] miles

find the solution to the system of equations y=1/2x +1 y=-x+1

Answers

Answer:

x=0, y=1

Step-by-step explanation:

HELP PLEASE THIS IS DUE T O D A Y!!!

9. The table below includes information about the vertices of a triangle. Which of the following best represents the missing information?
A. (3,2)
B. (3, -2)
C. (-3, 2)
D. (-3, -2)​

Answers

Answer:

your answer would be A

Step-by-step explanation:

it is kinda confusing but if you are reflecting off the x axis, you change the y, and if you are reflecting off the y axis, you would change the x

hope this helps and have a nice day!

Could I use ur Brainly acc plz

Can someone help me

Answers

10 i think we’ll i had the same problem and i got it right

i need help pls i do not get it

Answers

The perimeter and the area of the fountain is calculated to be

94.25 feet and 625.32 square feet respectively

How to find the perimeter and the area of the fountain

The perimeter of the fountain consisting of two semicircles and a quarter circle is

= perimeter of semicircle * 2 + perimeter of circle * 1/4

= π d + 2 π r * 1/4

for semicircle, diameter, d = 20 ft

for circle, radius r, = 20 ft

substituting the values

= 20π + 2 * π * 20 * 1/4

= 20π + 10π

= 30π

= 94.25 feet

Area of the fountain

= area of semicircle * 2 + area of circle * 1/4

area of semicircle * 2 = area of circle of radius 10 ft

for semicircle, radius, r = 10 ft

for circle, radius r, = 20 ft

= π 10² + π 20² * 1/4

= 100π + 100π

= 200π

= 625.32 square feet

The area of the fountain is 625.32 square feet

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Which property can be used to solve the equation?
10-12
Ο Ο Ο Ο
addition property of equality
O subtraction property of equality
multiplication property of equality
division property of equality
Plz help I’ll give Brainlyest

Answers

Answer:

Subtraction property of equality

Step-by-step explanation:

The pairs of polygons below are similar. Give the sale factor of figure A to figure B

Answers

Answer:

Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.

Recall:

Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.

The ratio of any of their corresponding side length = scale factor

Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:

A side length of Figure A = 10

Corresponding side length of Figure B = 4

Scale factor of Figure A to Figure B = 10/4 = 5/2

Step-by-step explanation:

Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other.

Answers

Answer:

C. Expression A is 4 times as great as expression B.

Step-by-step explanation:

Without doing any calculations, compare Expression A to Expression B.

A. (34+25) ÷ 1/4

B. 34+25

Which statement is true?

A. Expression A is 2 times as great as expression B.

B.Expression B is 4 times as great as expression A.

C.Expression A is 4 times as great as expression B.

D. The two expressions are equal to each othe

7 long roms of plants

Without doing any calculation,

Expression A = (34+25) ÷ 1/4

= (34 + 25) × 4/1

= 4(34 + 25)

Expression A = 4(34 + 25)

Expression B = 34 + 25

Therefore,

C.Expression A is 4 times as great as expression B.

Instructions: Find BD, given that line AB is the angle bisector of
CAD...please help

Answers

Answer:

BD = 2

Step-by-step explanation:

here's your solution

==> in ∆ABC and ∆ ABD

==> angle C = angle D. [ = to 90° ]

==> AB is common side

==> angle BAC = angle BAD. [ BA is angle bisector]

==> hence both traingle are congruent

==> so, BD = BC. [ by C.P.C.T ]

==> BC = 2. [ Given ]

==> BD = 2

hope it helps

Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?

Answers

The answer here is 14 herfccv err

Pls, solve this equation with the steps u took. 30 POINTS! posted this for the 2nd time

Answers

Answer:

x=2/3

Step-by-step explanation:

when the three turned into a 2 it removed one third, so we need to remove one third from 1, which gives us 2/3.

Basically, if a rectangle side goes from x to y, we figure out the percent decrease, and subtract that percent from the other side to find the variable we need to find on the other rectangle

Which could NOT be the shape of the graph of a quadratic function?

Answers

Answer:

the bottom right could NOT

the fourth option is the answer (. ^ ᴗ ^.)

The table represents a quadratic function C(t).


t C(t)
−2 1
−1 4
0 5
1 4
2 1

What is the equation of C(t)?
C(t) = −(x − 5)2
C(t) = (x − 5)2
C(t) = −x2 + 5
C(t) = x2 + 5

Answers

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The table represents a quadratic function C(t).

 t          C(t)

−2           1

−1           4

0           5

 1           4

2            1

From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,

C(t) = a(t - 0)² + 5

C(t) = at² + 5

The equation is passing through the point (1, 4), then we have

4 = a (1²) + 5

4 = a + 5

a = - 1

The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.

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Which cube root function is always decreasing as x increases?
O f(x) = }X-8
O f(x) = 77-5
*(x) = }}-(5-8)
O f(x) = -7/8+5
Help me please don’t send links geez

Answers

Answer:

C

Step-by-step explanation:

Hey there come here and help

Answers

Answer:

Its between A and B

Step-by-step explanation:

I think its B Tho

say something and i give brainlyest

Answers

Answer:

Its always ily, but never stwywimc

Step-by-step explanation:

Find the slope of the line shown on each graph below

Answers

The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .

What is slope ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).

(-2,-1) and (-4,-7)

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−7−−1)/(−4−−2)

           m=−6/−2

           m = 3

(2,-3) and (6,-13)

          m=Δy/Δx

          m=(y2−y1)/(x2−x1)

          m=(−13−−3)/(6−2)

          m=−10/4

          m=−5/2

          m = -2.5

(-3,4) and (-3,-8)

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−8−4)/(−3−−3)

           m=−12/0

          m is undefined

(-5,7) and (3,-1)

            m=Δy/Δx

            m=(y2−y1)/(x2−x1)

            m=(−1−7)/(3−−5)

            m=−8/8

            m = -1

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the point (3, 1) is located on a line with slope of 1/3. which point could also be located on the line?​

Answers

The point (5,5/3) also lies on the line.

A point (x, y) is located on a line with slope m if and only if it satisfies the equation:

y = mx + b

where b is the y-intercept of the line. In this case, we know that the point (3, 1) is located on the line, so we can use the information to find the value of b and then write the equation of the line in slope-intercept form.

The y-coordinate of the point (3, 1) is 1, so we can substitute this into the equation and solve for b:

1 = (1/3) * 3 + b

This simplifies to:

1 = 1 + b

so, b = 0

So, the equation of the line is

y = 1/3 * x +0

Now we can use this equation to find the coordinates of any point that lies on the line. So any point (x, y) that satisfies this equation could also be located on the line.

For example, we can pick any x, calculate corresponding y.

x=5, y=5/3

So point (5,5/3) also lies on the line.

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10. The amount of people using a certain product can be modeled by P = 85(1.2) where t is the
number of years since the product was first released. What is the growth rate?
A) 2%
B) 20%
C) 120%
D) 12%

Answers

Answer:

B) 20%

Step-by-step explanation:

Exponential equation:

An exponential equation is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the growth rate, as a decimal.

In this question:

[tex]P(t) = 85(1.2)^t[/tex]

Growth rate:

We want to find r, so:

[tex]1 + r = 1.2[/tex]

[tex]r = 1.2 - 1 = 0.2[/tex]

The growth rate is of 0.2 = 2%, and the correct answer is given by option B.

A farmer feeds a cow 9300 milligrams of an antibiotic. Every hour, 50% of the drug breaks down in the cow's body. How much will be left in 6 hours?

Answers

9514 1404 393

Answer:

  about 145.3 mg

Step-by-step explanation:

If half breaks down in the hour, then half remains. That is, each hour the amount remaining is multiplied by 1/2. The remainder after 6 hours is ...

  (9300 mg)(1/2)^6 = 145.3125 gm

About 145.3 mg will be left after 6 hours.

Write the augmented matrix for each system of equations.

-2x - 2y + 5z = 1
-5x - 5y + 7z = 4
9x - 2y + 2z = -1

Answers

Answer: it D :)

Step-by-step explanation:

Samantha was driving down a road and after 4 hours she had traveled 70 miles. At this speed, how many hours would it take Samantha to drive 105 miles?

Answers

Answer:

6 hours

Step-by-step explanation:

70miles divided by 4 hours equals 17.5mph

106miles divided by 17.5 mph = 6 hours

Answer:

6 hours

Step-by-step explanation:

105miles ÷ 70miles=1.5

4×1.5= 6

Other Questions
Identify the relevant total quality management (TQM) technique for each example or description in the following table.Example/Description 1.When a defense company needed to create quality software, they brought representatives from the Quality Assurance (QA) group in to work with software and systems engineers. The QA group found that peer reviews were the best way to catch software bugs, and they shared their knowledge with the head of software engineering. Working together with the engineers, the QA group started a system of peer reviews and formal inspections, and together, the group decreased the number of problems in the software the company produced.A. Quality partnering B. Continuous improvement C. Quality circle D. Benchmarking2.Wausau Window and Wall Systems started this process with a commitment from the CEO that he and all other managers in the company would be trained in program fundamentals. Using this problem-solving methodology, Wausau relentlessly pursued higher quality and lower costs at its window trim plant. Intensive analysis led to a redesigned workflow that improved productivity by 100%. A. Benchmarking B.Continuous improvement C. six sigma D. Quality circle3. At the Franklin Steel Products Plant in Franklin, Kentucky, employees from the Dana Corporations Perfect Circle Products unit manufacture as many as 3,500 different part numbers, primarily for automakers Ford, General Motors, and DaimlerChrysler, as well as thousands of after-market products. Despite the high-volume, high-mix environment, Dana Franklin has maintained a 99% on-time delivery rate to customers since 2001. The philosophy here is that with each unit produced, with each hour, with each day and each week, the plant gets just a little bit better. A. Six Sigma B. Quality circle C. Continuous Improvement D.Benchmarking4.Which of the following factors is likely to have a negative impact on the success of a TQM program? Check all that apply.A. TQM motivates employees and enriches jobs.B. Middle managers fear that they will lose their authority.C.Managers expect to see dramatic innovations as a result of TQM.D. Employees are dissatisfied with working conditions. If a person has one dominant and one recessive trait for a gene, the allele combination is Does the effective thermal conductivity of an insulation system account for heat transfer by conduction alone 14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square? Watch this clip from the movie "The Sound of Music"Make 3 observations on how they use the scaleThe song is called Do-Re-Mi A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25 Unit test Which of the x-values are solutions to the following inequality? 2 > 111 What two molecules make up aspartame? What does the unalienable right of liberty mean? Explain the phenomenon of diffussion. Solve each by eliminationx+y =19x - y = -7 What is the formula to find the side? A current-carrying wire is positioned vertically. The current in the wire is moving upward. If you move a compass slowly around the wire, how would the direction of the compass needle change?A.The compass always points in the same direction.B.The compass needle would rotate clockwise.C.The compass needle would rotate counterclockwise.D.The compass needle would spin erratically. What are two way in which early psychological research was biased? Whats an example of bias in psychology? Which characteristic do mushrooms, cats, humans, and trees have in common?A. They have cell walls.B. They are multicellular.C. They have a backbone.D. They make their own food. Can you describe the characteristics of different contemporary art forms? Why is Birdcage Walk called Birdcage? Do nonmetals increase in reactivity when moving from left to right? What is the negative form of he is still there? What is the total number of atoms present in 5Na,PO.?