MK = 24, JL = 20, and m

The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.


NK =

m

NL =

m

ML =

m

JM =

m

m

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

If the quadrilateral below is a rhombus, find the missing measures.

MK = 24, JL = 20, and mZMJL = 50°

Solution:

A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.

The diagonals of a rhombus bisect each other.

NK = MK / 2 (diagonals of a rhombus bisect each other)

NK = 24 / 2 = 12

NL = JL / 2 (diagonals of a rhombus bisect each other)

NL = 20 / 2 = 10

In triangle MNL, ∠N = 90°

MN = NK = 12 , NL = 10. Using Pythagorean theorem:

ML² = MN² + NL²

ML² = 12² + 10²

ML² = 244

ML = √244

ML = 2√61 = 15.62

JM = ML  = 15.62 (all sides of a rhombus are equal)

∠KNL = 90° (diagonals are perpendicular bisectors)

∠KJL = ∠MJL (diagonals bisect angles)

∠KJL = 50°

∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°

∠MJK = ∠MLK (opposite angles are equal)

∠MLK = 100°

∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)

50 + 90 + ∠JKM = 180

∠JKM = 40°

∠JKL = 2 * ∠JKM (diagonal bisect angle)

∠JKL = 2 * 40

∠JKL = 80°

∠JKL = ∠JML (opposite angles are equal)

∠JML = 80°

MK = 24, JL = 20, And MThe Quadrilateral Below Is A Rhombus. Find The Missing Measures. Any Decimal Answers

Related Questions

which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2

Answers

Answer:

17x - 7

Step-by-step explanation:

-2x + 8x - 9 + 4x + 7x + 2

6x - 9 + 4x + 7x + 2

6x - 9 + 11x + 2

17x - 9 + 2

17x - 7

Answer:

5x^(2)+12x-7

Step-by-step explanation:

Plato/Edmentum

which expression is equivalent to the given expression. -2x + 8x-9+4x+7x+2

Marsha swam 400 meters in 6
minutes and 12 seconds. Convert that time to minutes.

Answers

Answer:

6 minetes? how does this work?

Step-by-step explanation:

A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.

A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for

Answers

The number of cases per batch that should be produced to minimize cost is: 300 units

How to find the economic order quantity?

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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If we wish to incorporate the month of the year into a regression model using binary variables, we would need to use 13 binary variables.
True or False

Answers

There are 12 months in a year, and we need a baseline, we would require 11 binary variables to be utilized as independent variables in a regression model to capture the month of the year.

False.

If we wish to incorporate the month of the year into a regression model using binary variables, we would need to use only 11 binary variables.

How to incorporate the month of the year into a regression model using binary variables

The incorporation of the month of the year into a regression model can be done with the aid of binary variables.

Binary variables are frequently utilized in regression analyses to incorporate factors that can not be represented quantitatively or that are dichotomous, such as gender or marital status.

A binary variable is a type of dichotomous variable that can only take on two possible values. The value of the binary variable is typically denoted as 1 or 0, where 1 indicates the presence of the characteristic, while 0 indicates the absence of the characteristic.

There are 12 months in a year, therefore if we wished to include the month of the year as a factor in a regression model using binary variables, we would require 12 variables, each of which would represent a specific month of the year.

If we code the binary variable for a particular month as 1 and the binary variable for all other months as 0, then only one binary variable would be equal to 1 at any given time.

However, since there are 12 months in a year, and we need a baseline, we would require 11 binary variables to be utilized as independent variables in a regression model to capture the month of the year.

So it is False

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200,000 divided by 2,800

Answers

71.4285 approximately

To get the 10% discount, a shopper must spend at least $300.
Use d to represent the spending (in dollars) of a shopper who gets the discount.

Answers

Answer:

d ≥ 300

Step-by-step explanation:

I took the test and it was right! :)

Can someone plsss help

Can someone plsss help

Answers

Answer:

This Answer would be D

Step-by-step explanation:

The answer would be D because she ran 80 minutes because 60+20=80 If that is not it I am sorry :(

What is the measure of one exterior angle of this polygon?

What is the measure of one exterior angle of this polygon?

Answers

answer:

36°

step by step explaination:

The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°

Two of the lights at the local stadium are flickering. They both just flickered at the same time.
One of the lights flickers every 7 seconds and the other light flickers every 8 seconds.
How many seconds until both lights will flicker at the same time again?
seconds

Answers

Answer:

56

Step-by-step explanation:

you have to find the LCM of 7 AND 8.

which is 56

Answer:

The answer is 56

Step-by-step explanation:

the ratio of zoes money to yolansa's is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives (1)/(4) to zoe what is the new ratio of zoes money to yolanda

Answers

New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

The ratio of money of zoe to yolansa's own is 3:7.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

If the total money they both have is x, then they will have;

Zoe; 3x/10

Yolansa; 7x/10

Now,Yolanda has $64 more than Zoe. Thus;

\(\frac{7x}{10}\) - \(\frac{3x}{10}\) = 64

Simplifying this gives;

\(\frac{4x}{10}\) = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has \(\frac{7}{10}\) × 160 = $112

Zoe has \(\frac{3}{10}\) × 160 = $48

Yolanda now gives \(\frac{1}{4}\) of her money to Zoe.

Thus, she gives out \(\frac{1}{4}\) × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

New ratio of zoes money to yolandas money is;

76:84

Simplifying this ratio gives;

19:21

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We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

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which equation has the same solution as 2x^2+-16x10=0

Answers

Answer:

Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.

The owner of a fitness center conducted a survey using 20 people at the center, selected at random. Each person was given 30 seconds to do as
many push-ups as possible, and 30 seconds to do as many sit-ups as possible. The data is shown in the graph.
Comparison of
Push-Ups and Sit-Ups
30
25
20
Number of Sit-Ups
15
10+
person
0 2 4 6 8 10 12 14 16 18 20
Number of Push-Ups
Which two statements correctly describe the data?

Answers

Answer:

Step-by-step explanation:

I'm not sure but u thing c

The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.

Answers

Answer: The percent of increase is 66.67%.

Step-by-step explanation:

Find the percent of increase of baseball cards.

Step 1: Subtract the starting value from the final value.

                                       65 - 39 = 26

Step 2: Take the value you get and divide it by the starting value.

                                       26 ÷ 39 = 0.666667

Step 3: Multiply what you get by 100.

                                       0.666667 × 100 = 66.6667

Step 4: Round what you get the nearest hundredth of a percent.

                                        66.6667 → 66.67%

The sun of two numbers is 10. The difference between the two numbers is 4.

Answers

Answer:

7 and 3

Step-by-step explanation:

Toasty Hands is a manufacturer of battery-powered heated gloves. Its top of the line model currently sells for $279, and it expects sales of 440,000 pairs in the next year. Its estimate of the demand for gloves suggests that if it cuts the price to $239 it could sell 540,000 pairs. What is the absolute value of the elasticity coefficient for Toasty Hands' gloves? Round your answer to two decimals. 1st attempt

Answers

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

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The scores of students on the ACT college entrance examination in a 2009 had the normal distribution with y = 21.1 and o = 5.1.what is the probability that the average act score of an srs of 16 students is 27 or higher?

Answers

The probability that the average ACT score of an SRS of 16 students is 27 or higher can be found using the standard normal distribution formula.

First, we need to find the z-score for an average of 27. The z-score is calculated as:

z = (x - μ) / (σ / √n)

Where x is the sample mean (27), μ is the population mean (21.1), σ is the population standard deviation (5.1), and n is the sample size (16).

Plugging in the values, we get:

z = (27 - 21.1) / (5.1 / √16) = 4.9 / (5.1 / 4) = 3.84

Now, we can use the standard normal distribution table to find the probability that the z-score is 3.84 or higher. The table shows that the probability is 0.0001.

Therefore, the probability that the average ACT score of an SRS of 16 students is 27 or higher is 0.0001.

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How to do 22.3 x 1.8 step by step please.​

Answers

Answer:

22.3 x 1.8 = 40.14

Step-by-step explanation:

22.3

x  1.8  

________

1784

2230

________

40.14

Answer:

40.14

Step-by-step explanation:

22.3

× 1.8  ← Forget about the decimal places and multiply by the one's place.

             

1 7 8 4

2 2 3 0 ← Put a 0 to hold the one's place and multiply 223 by ten's place.

               

4 0 . 1 4 ← Add those 2 numbers and keep 2 decimal places.

How to do 22.3 x 1.8 step by step please.

2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
(x-4)
(2x-78)
(x+8)

Answers

The measure of the quadrilateral are

88 - 4 = 84

2 * 88 - 78 = 98

88 + 8 = 96

How to solve the quadrilateral

A quadrilateral is a polygon with four sides and four vertices (corners). There are many different types of quadrilaterals, including squares, rectangles, parallelograms, trapezoids, and kites. The angles and sides of a quadrilateral can vary depending on its specific type, but the sum of the internal angles of any quadrilateral is always 360 degrees.

x - 4 + x + 8 = 180

we have to find the value of x

x = 88

The angles would be

88 - 4 = 84

2 * 88 - 78 =

88 + 8 = 98

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Convert 230 Pounds to Kilograms

Answers

Answer: 104.328 kg

Step-by-step explanation:

There are 0.4536 lb in 1 kg, so the answer is \((230)(0.4536)=104.328\) kg.

The value of 230 pounds in the unit kilogram is 104.31 kg.

What are the units of measurement of mass?

A unit of measurement is a specific magnitude of a quantity that has been established and recognised by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type.

The matter that is present in the given object is referred to as its mass. The commonly used units of measurement of mass are grams and kilograms. Both the pound and the kilograms are weight or mass measurement units.

The value of 1 kg = 2.205 pounds

We are asked to find the value of 230 pounds in kilograms.

1 pound = 1/2.205

230 pounds = 230/2.205 = 104.31 kilograms.

Therefore the value of 230 pounds in the unit kilogram is 104.31 kg.

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Steven pay 10% tax on a purchase of $40 to what's the dollar amount of the tax and total dollar amount Steven paid on the number line​

Answers

Answer:

$4, and $44

Step-by-step explanation:

10% of 40 = $4

40+4=$44

just mark 4 ,  44 on number line

Answer: $44.00

Step-by-step explanation: The dollar amount of the taxes are $4.00 and the total amount he paid was$44.00

Solve the inequality.

Solve the inequality.

Answers

Answer:

w ≤ 2/5

Step-by-step explanation:

−2w+7≥3w+5

Step 1: Subtract 3w from both sides.

−2w+7−3w≥3w+5−3w

−5w+7≥5

Step 2: Subtract 7 from both sides.

−5w+7−7≥5−7

−5w≥−2

Step 3: Divide both sides by -5.

−5w/−5≥−2/−5

w≤2/5

Answer:

w ≤ 2/5

a graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. what percentage of examinees will score between 600 and 700? multiple choice question. 0.2706 0.2294 0.4406 0.1700

Answers

The correct answer to the multiple-choice question is B) 0.2294. To answer this question, we need to use the properties of the normal distribution.

We know that the distribution of scores is normal with a mean of 560 and a standard deviation of 90. We want to find the percentage of examinees who score between 600 and 700.

To do this, we first need to standardize the scores using the formula z = (x - μ) / σ, where x is the score, μ is the mean, and σ is the standard deviation. For a score of 600, the standardized score is z = (600 - 560) / 90 = 0.44. For a score of 700, the standardized score is z = (700 - 560) / 90 = 1.56.

Next, we look up the percentage of examinees who score between these two standardized scores using a standard normal distribution table or a calculator. The percentage of examinees who score between 0.44 and 1.56 is approximately 0.2294 or 22.94%.

Therefore, the correct answer to the multiple-choice question is B) 0.2294.

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Which of the following are used in an electrochemical cell?
A. electrodes
b. electrolyte
c. terminals
d. all of the above​

Answers

Answer:

b

Step-by-step explanation:

i tookthe text and it was corect

Answer: The answer is D. trust me

Step-by-step explanation:

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel. A and B. over time.
The price in dollars of fuel A after x months is represented by the function below.
10 = 2.961.04)
Part A: is the price of the increasing or decreasing and by what percentage per month? Justify your answer. (5 points)
Part 8: The table below shows the price 9m) in dollars of fuels afer m months
64
m (number of months) 1
3
sim) (price in dollars) 3.04 3.22 3.41 3.61
Which ope of fuel recorded a greater percentage change in pace over the previous month? Justity your answer. (5 points)

Answers

Answer:

A. Increasing by 4%.

Step-by-step explanation:

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

(7) Suppose the region E is given by {(2,1₁²) | √√₂² + y² ≤ = ≤ √√4-2²-1² Evaluate ²¹ av (Hint: this is probably best done using spherical coordinates)

Answers

To evaluate the given integral ∭E dV, where E is the region defined by {(x, y, z) | √(√x² + y²) ≤ z ≤ √(√4 - x² - y²)}, it is suggested to use spherical coordinates.

In spherical coordinates, we have x = ρsin(ϕ)cos(θ), y = ρsin(ϕ)sin(θ), and z = ρcos(ϕ), where ρ represents the radial distance, ϕ represents the polar angle, and θ represents the azimuthal angle. To evaluate the integral in spherical coordinates, we need to express the bounds of integration in terms of ρ, ϕ, and θ. The given region E is defined by the inequality √(√x² + y²) ≤ z ≤ √(√4 - x² - y²). Substituting the spherical coordinates expressions, we have √(√(ρsin(ϕ)cos(θ))² + (ρsin(ϕ)sin(θ))²) ≤ ρcos(ϕ) ≤ √(√4 - (ρsin(ϕ)cos(θ))² - (ρsin(ϕ)sin(θ))²). Simplifying the expressions, we get ρsin(ϕ) ≤ ρcos(ϕ) ≤ √(4 - ρ²sin²(ϕ)). From the inequalities, we can determine the bounds of integration for ρ, ϕ, and θ. Finally, we can evaluate the integral ∭E dV by integrating with respect to ρ, ϕ, and θ over their respective bounds.

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Find the indicated real nth root(s) of a. n=3, a=729

Answers

Answer:

9

Step-by-step explanation:

n=3, a=729

For any odd integer, n ; a will have only one real nth root which will be a positive integer.

Similarly, for any integer, n, that is > 1 ; related by the expression ;

p^n = a ; the nth root of a = p

Therefore,

If n = 3 ; a = 729

p^3 = 729

To obtain the value of p ; take the cube of both sides

(p^3)*1/3 = 729^1/3

p = 9

Hence, the real nth root of 729 is +9 when n = 3

the probability that a patient recovers from a stomach disease is 0.7. suppose 20 people are known to have contracted this disease. (round your answers to three decimal places.)

Answers

If the probability of recovering from a stomach disease is 0.7, then the probability of not recovering is 0.3.

Out of 20 people who contracted the disease, the probability that any one person will recover is 0.7.

To calculate the probability that all 20 people will recover, we need to multiply 0.7 by itself 20 times (0.7^20), which equals 0.00079792266.

This means that there is less than 1% chance that all 20 people will recover from the disease.

On the other hand, the probability that at least one person will not recover is the same as the probability of not all 20 people recovering, which is 1-0.00079792266, or approximately 0.999.

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The regular price of a sweater is $32. For a sale, the price of the sweater is marked down 30%. What is the sale price of the sweater?​

Answers

Answer: $22.40

Step-by-step explanation:

30% of 32, or 0.3(32) is equal to 9.6. Then you have to subtract that amount, which is 32 - 9.6, which then gets us to 22.40.


\( \frac{w}{2} + 4 > 5\)
can someone solve this? ​

Answers

Answer:

w > 2

Step-by-step explanation:

Answer:

w>2 I hope it helps you!

Find the y-intercept of the function y = -3(x+2)(x-1)(x+3)

Answers

The y-intercept of a function happens when the function "cuts" the y-axis.

This can be calculated as the value of the function f(x) when x=0.

Then, if we replace x by 0, we get the y-intercept:

\(\begin{gathered} f(x)=-3\mleft(x+2\mright)\mleft(x-1\mright)\mleft(x+3\mright) \\ f(0)=-3(0+2)(0-1)(0+3) \\ f(0)=-3\cdot2\cdot(-1)\cdot3 \\ f(0)=18 \end{gathered}\)

The y-intercept for this function is f(0)=18.

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