Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm. What is MP?

A. 9 cm
B. 21 cm
C. 33 cm
D. 66 cm

Answers

Answer 1

The measure of the diagonal MP is 66 cm.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, Parallelogram MNPR has diagonals that intersect at E. In the parallelogram, ME = (7x - 30) cm and PE = (5x-12) cm.

We know that, diagonals of a parallelogram bisects each other,

Therefore, ME = PE

(7x - 30) = (5x-12)

2x = 18

x = 9

ME = PE = 33

MP = ME + PE

MP = 33+33

MP = 66

Hence, The value of MP is 66 cm

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Parallelogram MNPR Has Diagonals That Intersect At E. In The Parallelogram, ME = (7x - 30) Cm And PE

Related Questions

caitlyn has found that the total fertility rate for montana is 1.73. what other piece of information would caitlyn need to predict how many babies will be born this year in montana?

Answers

Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.

In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.

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The price of licorice is proportional to its length. It costs $0.50 to buy 5in. How much licorice can you get for $1.80

Answers

Answer: 18in

Step-by-step explanation:

0.50x 3 = 1.50

50 divided by 5 is 10

1in every 10 cent

If Lydia has a straight-time pay of $697.20 per Iveek as a dental assistant, how many hours does she work
per week? Use the table from #2 above to help you.

Answers

Answer is 40 Hours worked that week

Step by step

We know Pay rate x Hours = gross pay

We know her gross pay is 697.20 per week

We know she makes $17.43 per hour “H”

17.43 H = 697.20

Divide both sides by 17.43 to solve for “H”

17.43/17.43 H = 697.20/17.43

H = 40 Hours

What’s a? Please help!!

Answers

Answer:

a = - 3

Step-by-step explanation:

r² - 6r + 9

consider the factors of the constant term (+ 9) which sum to give the coefficient of the r- term (- 6)

the factors are - 3 and - 3 , since

- 3 × - 3 = + 9 and - 3 - 3 = - 6 , then

r² - 6r + 9

= (r - 3)(r - 3)

= (r - 3)² ← in the form (r + a)²

with a = - 3

HELPPPP
find three consecutive integers such that the sum of twice the second and three times the third is five less than six times the first.

Answers

Answer:

13, 14, 15

Step-by-step explanation:

The three integers are consecutive so let those integers be x, (x+1), (x+2)

As per the question,

2(x+1) + 3(x+2) = 6x-5

or, 2x+1+3x+6 = 6x-5

or, 8+5 = 6x-5x

or, x = 13

So, x+1 = 13+1 = 14

x+2 = 13+2 = 15

a fair coin is tossed 29 times. what is the probability that at most 27 heads occur? a) 0.00000006 b) 0.00000081 c) 0.00000076 d) 0.99999994 e) 0.99999919 f) none of the above.

Answers

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Which of these values for P and a will cause the function f(x)-Pa to be an
exponential growth function?
O
○ A P = 1²; a = 2
OB. P= 5; a = 1
C. P = 5; a = 1/1/2
○ D. P= 1/2; 0 = 1/1/2

Answers

The values of P and a that will make f(x)=Pa^x to be an exponential growth function is; A P = 1²; a = 2

How to identify an exponential growth function?

The general formula for exponential growth function is;

y = a(b)ˣ

When a is a positive value and 'b' is the base greater than 1,

In order to represent exponential growth, a must be a positive number larger than 1.  If a is a fraction less than 1, we are basically taking a percent (less than 100) of the number and this will make it smaller, which would the become a decay function.  If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P = 1²; a = 2

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If 50+2(4x-1)=72, then the value of x is

options are....


(a) 1

(b) 2

(c) 3

(d) 4

Answers

Answer:

C. 3

Step-by-step explanation:

First, use the distributive property. Multiply 4x and 1 each by 2.

This gives us the equation 50 + 8x - 2 = 72.

Next, subtract 2 from 50 to get 48. Subtract 2 from 2 to cancel it out.

Then, we have 48 + 8x = 72.

Subtract 48 from both sides. This leaves 8x = 24.

Divide both sides by 8 to get x = 3.

Alda is measuring the growth of a plant. Its initial height was 14 centimeters (cm), and the plant has consistently grown 32 cm each day.

Which linear equation represents the plant height, (y), after a given number of days, (x)?

Answers

Answer:

Step-by-step explanation:

y=32x+14

I got this equation because the initial height is the starting so that would be the y-int which comes after the slope, the slope is 32 because it says that the plant has grown that amount of centimeters each day, and each day should refer to the rate meaning slope. That would be the equation that you would use to find the plant's height after a given number of days,

For example..

y=32(5) + 14

I plugged in a 5 for x meaning 5 days. so you'd multiply 32 by 5 which is 160 and then you'd add 14 and you'd get 174. Meaning that after 5 days the plant has grown 174 cm...

(hopefully that helps a bit..if not then I'm sorry)

A spherical water tank holds 9000ft ^3 of water. What is the diameter of the tank? (Hint: V = 1/6d^3 3.14)

Set up? :

9000 = 1/6 d ^3 x 3.14

Answers

The diameter of the spherical tank that holds 9000ft³ of water is 25.81 ft.

What is diameter?

A diameter is a line that divides a circle into two equal parts.

To calculate the diameter of the tank, we use the formula below.

Formula:

V = d³π/6............ Equation 1

Making d the subject of the equation,

d = ∛(6V/π).................. Equation 2

Where:

V = Volume of the spherical water tankd = Diameter of the tank

From the question,

Given:

V = 9000 ft³π = 3.14

Substitute these values into equation 2

d = ∛(6×9000/3.14)d = 25.81 ft

Hence, the diameter of the tank is 25.81 ft.

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. about 19% of young adults have high blood pressure. consider the proportion of people with high blood pressure in random samples of 45 young adults. what is the standard deviation of this sample proportion?

Answers

The standard deviation of the sample proportion is 10.

In math standard deviation is defined as the statistical measure of diversity or variability in a data set.

Here we have given that about 19% of young adults have high blood pressure. consider the proportion of people with high blood pressure in random samples of 45 young adults.

And we need to find the the standard deviation of this sample proportion

Let us assume the expected population standard deviation to be 10, and employing t-distribution to estimate sample size, the study would require a sample size of: 44 to estimate a mean with 67% confidence and a precision of 1.5.

Which means that, if you select a random sample of 44 from a population, and determine the mean to be say y, you would be 67% confident that the mean in the population lies somewhere between y - 1.5 and y + 1.5.

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Can someone please help me I’ll mark as brainlist

Answers

Answer:

u=14, v=2

Step-by-step explanation:

Here's my attempt:

Proving triangle congruency:

We need to prove that the two triangles are congruent.

First, we need to see which sides/angles correspond (basically how the two triangles overlap each other).

Well, we can see that m∠F = 90° and that m∠D = 90°, so we know that ∠F and ∠D are congruent, and so they correspond.

So, if you drag ΔHFG over to ΔCDE, then sides DC and FH would be right on top of each other. (try drawing this to make it clearer)

Solving for v:

So if sides DC and FH are congruent, then their values are also equal.

DC = 17v and FH = v+32

So if DC=FH, then 17v=v+32

Then, we simplify this:

17v=v+32     [original equation]

16v=32     [subtract v from both sides]

v=2     [divide both sides by 16 to isolate v]

So, we have our value for v: v=2

Solving for u:

Now, it's time to find u:  (also, it doesn't matter if you found v first or u first in this problem)

When we overlapped ΔHFG and ΔCDE, we saw that EC = GH

So, using the same method as we used to find v, we can say that

EC=7u and GH = 10u-42

If EC=GH, then 7u=10u-42

Then, we simplify:

7u=10u-42     [original equation]
-3u=-42     [subtract 10u from both sides to get u on just one side]
u=14     [subtract both sides by -3 to isolate u]

Finally, we have our value for u: u=14

But we're not done yet: let's check our work:

Firstly, let's plug our answer for v into our equation for v:

17v=v+32
17(2)=(2)+32
34=34     It works!

Next, we'll plug in our answer for u into our equation for u:

7u=10u-42

7(14)=10(14)-42

98=140-42

98=98     It works!

I hope you read through my explanation and that it helped! :D

there have been 136 earthquakes in the magnitude range 4.0-5.0 in the san francisco area over the past 30 years. what is the mean recurrence interval of earthquakes in this magnitude range?

Answers

Answer - is 0.22 years

2.
12
Bo
5
13

Which measures shown in the triangle are
equivalent to ? (MGSE9-12.G.SRT.6)
5
13
A. sin a Only
B. cos ß Only
C. sin a and cos B
D. sin ß and cos a

Answers

on solving the provided question, we can say that - 5/13 measure shown in the triangle are equivalent to sin [tex]\alpha[/tex] and cos [tex]\beta[/tex].

what are trigonometric functions?

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric ratios are these functions. The six fundamental trigonometric functions are the sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function. A right-angled triangle's side ratio corresponds to the trigonometric functions and identities. In order to determine the sine, cosine, tangent, secant, and cotangent values, trigonometric formulae are applied to the perpendicular side, hypotenuse, and base of a right triangle.

as cos x = base/ hypotenuse

and, sin x = perpendicular/ hypotenuse

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Complex conjugate (attached image) PLEASE HELP

Answers

A & D are complex conjugates because the sum of A and D is a real number. Also, A & D are complex conjugate because the product of A and D is a real number.

Options A and D are the correct answer

How to determine which two points are complex conjugates?

The complex conjugate of a complex number is the number obtained by changing the sign of its imaginary part. The complex conjugate is written with a bar over the complex number, like this:

z = a + bi

z* = a - bi

where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1

For example, the complex conjugate of the complex number 3 + 4i is 3 - 4i.

The complex conjugate has several important properties. For example, the product of a complex number and its complex conjugate is always a real number:

(a + bi)(a - bi) = a²+ b²

Also, the sum of a complex number and its complex conjugate is always a real number:

(a + bi) + (a - bi) = 2a

These properties are useful for simplifying expressions involving complex numbers.

Let's examine the points on the graph:

A = -2 + 3i

B = 2 + 3i

C = 3 + 2i

D =  -2 - 3i

A x D = ( -2 + 3i) x (-2 - 3i) = (-2)²- (3i)² = 4- (-9) = 13

A + D = ( -2 + 3i) +  (-2 - 3i) = -2-2 + 3i-3i = -4

Thus, points A and D are complex conjugates because the sum and product of A and D are real numbers

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How many solutions does the system of equations below have? 3x - 10y =-7 -17x - 10y = -16

Answers

The two lines on the system aren't parallel, thus, the system has only one solution.

How many solutions does the system of equations has?

Here we have the following system of equations:

3x - 10y = -7

-17x - 10y = -16

Now, notice that both equations are linear equations, and the equations are not parallel (the coefficients on the left side are different), which means that the two linear equations will intercept at some point (and at only one point)

That is enough to conclude that the system of equations will have only one solution.

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Carly took a total of 15 quizzes over the course of 5 weeks. How many weeks of school will Carly have to attend this quarter before she will have taken a total of 24 quizzes? Assume the relationship is directly proportional.​

Answers

Answer:

Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

Step-by-step explanation:

To determine the number of weeks Carly will have to attend school before she takes a total of 24 quizzes, we need to first calculate the proportion of quizzes taken to weeks attended by dividing the number of quizzes taken by the number of weeks attended:

Proportion = Number of quizzes taken / Number of weeks attended

Proportion = 15 quizzes / 5 weeks

Proportion = 3 quizzes / week

Next, we can use this proportion to calculate the number of weeks Carly will have to attend school before she takes 24 quizzes by multiplying the number of quizzes Carly wants to take by the reciprocal of the proportion:

Number of weeks = Number of quizzes / Proportion

Number of weeks = 24 quizzes / 3 quizzes/week

Number of weeks = 8 weeks

Therefore, Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

She would have to attend a total of 8 weeks. So only 3 more classes because they take 3 quizzes a week

HELP HELP HELP HELP HELPPPPPPPPPPPPP

Answers

Answer:

The ratio of x-values to y-values in the table is 2:3

Step-by-step explanation:

8 / 12 = 2/3

10 / 15 = 2/3

12 / 18 = 2/3

Each has a ratio of 2 to 3.

Find the rate of change between the points

Answers

Answer: D. 3/8

Step-by-step explanation:

The rate of change or slope is rise/run

We see that the y decreases by 9 and the x decreases by 24, so our slope is -9/-24 = 3/8 because negative and negative will be positive.

So the answer is D

Answer:

C. -3/8

Step-by-step explanation:

To find the rate of change is the same as finding the slope. To find the slope between two points you'd use the slope formula, which is y2-y1 over x2-x1.

You'd get -8-1 over -8-16. -8-1 is -9. -8-16 is -24 so you'd get -9/-24.

Because that isn't one of the answer choices you have to simplify it. To simplify it you would divide both numbers by the same number. A common number they both share is 3. So then you'd divide -9 by 3 and you'd divide -24 by 3. -9 divided by 3 is -3. -24 divided by 3 is -8 so you'd get -3/-8. Which should be C. -3/8. Because both numbers are negative the answer should have a negative sign so you'd cross b and d out. And a isn't right because the 8 is supposed to be in the denominator and not in the numerator.

(Hopefully you understood this, if not then I'm sorry.)

two numbers have a sum of 30,000 if 7% of the first number is added to 10% of the second, the result is 2,400. find the numbers

Answers

The numbers x and y values are the integer x = 29,288 and y = 713.

What is a linear equation?

Ax+By=C represents a two-variable linear equation in its standard form.

A linear equation with one variable has the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this situation.

An equation is used to show the relationship between variables, and numbers.

Let's call the two numbers x and y, where x is the first number and y is the second number. We are given that x + y = 30,000 and that 0.07x + 0.1y = 2,400.

Using substitution, we can solve for one variable in terms of the other and then substitute this expression into the other equation.
From the first equation, we can solve for y: y = 30,000 - x
Substituting this expression into the second equation, we get:
0.07x + 0.1(30,000 - x) = 2,400
0.07x + 3,000 - 0.1x = 2,400
Combining like terms, we get:
-0.03x = -600
Dividing both sides by -0.03, we get:
x = 20,000
Substituting this value back into the first equation, we can solve for y:
y = 30,000 - x
y = 30,000 - 20,000
y = 10,000
Therefore, the two numbers are x = 20,000 and y = 10,000.
Alternatively, we could have used elimination to solve the system. We can do this by adding the two equations together:
x + y = 30,000
0.07x + 0.1y = 2,400
0.07x + 0.1y + x + y = 30,000 + 2,400
0.17x + 1.1y = 32,400
Dividing both sides by 0.17, we get:
x + 6.47y = 190,588
Multiplying both sides of the first equation by 6.47, we get:
6.47x + 6.47y = 194,490
Subtracting the second equation from the first, we get:
5.47y = 3,902
Dividing both sides by 5.47, we get:
y = 712.5
Substituting this value back into the first equation, we can solve for x:
x = 30,000 - y
x = 30,000 - 712.5
x = 29,287.5

Since x and y must be positive integers, we can round these values to the nearest integer to get x = 29,288 and y = 713. These values are very close to the actual solution, which is x = 20,000 and y = 10,000. This is because we introduced some error when we divided both sides of the equation 0.17x + 1.1y = 32,400 by 0.17.
Hence, the numbers x and y values are the integer x = 29,288 and y = 713.

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Marneashia has a total of 14 chickens . If she has 2 times as many chickens as dogs write and solve an equation to determine the number of dogs she has.

Answers

The correct answer is 2x = 14; x = 7

How did we figure this out?

For this equation we are going to divide the numbers to find are answer.Divide by 2 on both sides of the equal sign, 14 divided by 2 is 7.

Therefore, The correct answer is 2x = 14; x = 7

How many ways can 4 people each choose a piece of cake from 7 total (no sharing).

Answers

The number of ways 4 people each choose a piece of cake from 7 total is 840.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, 4 people each choose a piece of cake from 7.

We know that, P(n,r) = n!/(n-r)!

Here, P(7, 4) =7!/(7-4)!

= (7×6×5×4×3!)/3!

= 7×6×5×4

= 840

Therefore, the number of ways 4 people each choose a piece of cake from 7 total is 840.

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show your work please

Answers

Answer:

Correct Answer is A

Step-by-step explanation:

5×14 = 70

using the addition law of indices

(x¹. x⁷) ( y⁰. y⁵)

Add the powers

Therefore: x^(1+7) = x⁸

y^(0+5) = y⁵

Answer: 70x⁸y⁵

If a taxpayer does not have enough taxes withdrawn from her paychecks throughout the year to equal the total tax she is required to pay that year, she will owe the government the remaining balance. On the other hand, if the taxpayer has more money withheld for taxes than she is required to pay that year, she will receive a refund for the difference.

Katie has determined that, based on her annual income of $42,000, her federal income tax for the year is $6,328. Katie gets paid on a bi-weekly basis, giving her 26 paychecks throughout the 52 week year.

What is the minimum amount Katie must have withheld from each of her 26 bi-weekly paychecks in order to avoid owing the federal government at the end of the year?

Answers

The minimum amount Katie must have withheld from each of her 26 bi-weekly paychecks in order to avoid owing the federal government at the end of the year is $243.

What is income tax?

An income tax is a charge levied against people or organizations in relation to the income or profits they make. In most cases, income tax is calculated as the sum of the tax rate and the amount of taxable income. The type of taxpayer and the type of income are two factors that can affect the tax rate.

Given:

Katie has determined that, based on her annual income of $42,000, her federal income tax for the year is $6,328.

Katie gets paid on a bi-weekly basis, giving her 26 paychecks throughout the 52 week year.

We can calculate the amount that should be withheld every two weeks by dividing Katie's estimated annual income taxes by 26 weeks:

$6328 / 26 weeks = $243.38 ≈ $243.

Hence, the minimum amount Katie must have withheld from each of her 26 bi-weekly paychecks in order to avoid owing the federal government at the end of the year is $243.

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there are 15 rooms in a hotel and no more than 5 people can stay in each room. What is the difference between the largest and smallest amount of guests can the hotel accommodate

Answers

Answer:

The difference is 60.

Step-by-step explanation:

Since no more than 5 people can stay in each of the 15 rooms, we can multiply these numbers to get the largest amount of guests.

5 x 15 = 75

We assume the smallest amount can be 1 person in each of the 15 rooms.

1 x 15 = 15

We then subtract the smallest from the largest to find the difference.

75 - 15 = 60

Find the reciprocal of -1

Answers

The reciprocal value of -1 is 1/-1 which is equal to -1.

What is Fraction?

A fraction represents a part of a whole.

We need to find the reciprocal of -1.

The reciprocal (or multiplicative inverse) of a number is whatever value must be multiplied to that number to equal 1.

Let a be a number and b be its reciprocal.

So ab=1

b=1/a

Substitute for a.

b=1/-1

b=-1

Hence, -1 is the reciprocal of -1.

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if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 2? (your answer must be in the form of a reduced fraction.)

Answers

Answer:

Step-by-step explanation:

total no of outcome = 52 cards

favorable outcomes = 16 cards

probability of getting a heart or 2 = no . of favorable outcomes

                                                           no . of total outcomes

                                                        = 16 = 4

                                                           52    13

In the long run, if the firm decides to keep output at its initial level, what will it likely do?.

Answers

False, Stay on SRATC3 but decrease to the point touching LRATC.

What is  LRAC curve ?

The LRAC curve is the curve that a company would follow in order to reduce its cost per unit for each specific long-run quantity of output.

              One particular level of fixed costs is represented by each of the short-run average cost (SRAC) curves that make up the LRAC curve.

Why is Lrac crucial?

Over a variety of outputs, the effect is a decrease in average costs. A company may gain a competitive edge in a market thanks to these lower expenses, which signify an increase in production efficiency.

                        Consumer prices may be reduced as a result, and corporate earnings and dividends may increase.

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Cian is buying movie tickets for a group. He wants to have at least 30 tickets and spend no more than $400. Adult tickets cost $12.50 and child tickets cost $7.50. Which system of inequalities can be used to find the number of each type of ticket Cian could buy?

A. x + y ≥ 30
7.5x + 12.5y ≤ 400

B. x + y ≤ 30
7.5x + 12.5y ≥ 400

C. x + y ≥ 30
7.5x + 12.5y ≥ 400

D. x + y ≤ 30
7.5x + 12.5y ≤ 400​

Answers

The system of linear inequalities for each ticket is (a) x + y ≥ 30, 7.5x + 12.5y ≤ 400

How to determine the system of linear inequality that describes the situation.

From the question, we have the following parameters that can be used in our computation:

Budget = No more than $400Tickets = At least 30Children (x) = $7.50Adults (y) = $12.50

When the total number of tickets is represented as an equation/inequality, we have

x + y ≥ 30

For the spendings, we have

7.5x + 12.5y ≤ 400

So, we have the following representations (inequality)

x + y ≥ 30

7.5x + 12.5y ≤ 400

Hence, the system of linear inequalities is (a)

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Trader Joe's sold 3481 bags of tortilla chips recently. If 2173 of these bags were fat free, find the percent that were fat free. Round your answer to the nearest percent.

Answers

To find the percent of bags of tortilla chips that were fat free, we need to divide the number of fat-free bags by the total number of bags and multiply the result by 100%.

The percentage of bags that were fat-free is:

(2173 fat-free bags / 3481 total bags) * 100% = 62.72%

Rounded to the nearest percent, the percentage of bags that were fat-free is 63%.

Answer: About 62%

Step-by-step explanation: About 62% of the bags were fat-free. I hope this helps ;)

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