Given that the quadrilateral is a parallelogram, find the values of x, y and z.

Given That The Quadrilateral Is A Parallelogram, Find The Values Of X, Y And Z.

Answers

Answer 1

Answer:

x=9

y=4

z=4

Step-by-step explanation:

9x-13=7x+5

9x-7x=5+13

2x=18

x=18/2=9

3y=12

y=12/3=4

11z-41=5z-17

11z-5z=-17+41

6z=24

z=24/6=4


Related Questions

When there is no traffic, it takes Rina 4 hours to get from Boston to New York. Once, Rina started her trip to New York at a speed of 60 mph, but after 2 1/3 hours of driving she stopped for 40 minutes. She had to drive at a speed of 45 mph for the rest of her trip. How long was her trip?

Answers

The whole trip was 0.185 Km or 185 m long.

What is speed ?

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

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which function below has the smallest slope?
f(x)
f(x) = 2x - 3

Answers

Answer:

f(x)

Step-by-step explanation:

f(x) is a little represented number after solving for x but

f(x)=2x-3 is more bigger

Two balls are drawn without replacement from a box containing 2black and 3 red balls. What is the probability of drawing a black ball on the second draw? Draw a tree diagram

Answers

The probability that the second ball drawn is black is 4/10 = 2/5

How to find the probability?

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

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The Smith family pays a rate of 27 mills in property tax. The assessed value of their home is $98,000. What is their property tax?

Answers

Their property tax would be =$ 26,460

Calculation of property tax

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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I need help with question 24

Answers

Answer:

D

Step-by-step explanation:

angle ABC=angle ADC

angle BAC=angle DCA

AC=CA

Gabrielle needs to rent a car while on vacation. The rental company charges $19.95, plus 15 cents for each mile driven. If Gabrielle only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Round your answer down to the nearest mile.

Answers

Answer:

  133 miles

Step-by-step explanation:

The limited budget gives rise to an inequality that can be solved for the maximum number of miles.

__

setup

The rental cost for m miles will be the sum of the fixed charges and the product of the mileage charge and the number of miles.

  cost = 19.95 +0.15m

We want this to be no greater than 40, so we have the inequality ...

  40 ≥ 19.95 +0.15m

solution

This two-step inequality can be solved in the usual way:

  20.05 ≥ 0.15m . . . . . step 1, subtract 19.95 from both sides

  133.667 ≥ m . . . . . . . step 2, divide by the coefficient of the variable

The maximum whole number of miles Gabrielle can drive is 133.

Subtract 5x - 4 from the sum of -3x - 4 + y and 4x - y

Answers

Answer:

-4x

Step-by-step explanation:

((-3x-4+y) + (4x-y)) - (5x-4)
= (-3x-4+y+4x-y) - 5x+4
= (x-4) -5x+4
=x-4-5x+4
=-4x

HI HELP PLEASE
The height of female students in Cromartie High is normally distributed. If 95% of females are
between 57.6 and 70.4 inches tall centered about the mean, find the average height and standard
deviation for female students at Cromartie High.

Answers

Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, hence the mean is given by:

M = (57.6 + 70.4)/2 = 64.

57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:

57.6 = 64 - 2s.

2s = 6.4

s = 3.2.

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PLS HELP ME ASAP!!!!

Answers

B. x^9

just simplify

Pls help meee!!!!!!!!!

Answers

Answer: x = 103

Step-by-step explanation:

this is a 90 degree angle indicated by the box in the corner of the angle.

90 degree angles total 90 degrees.

X - 15 + 2 = 90

move the numbers to the other side of the equal sign to isolate the X

by doing the opposite

x = 90 + 15 -2

x = 103

check your work, X - 15 + 2 = 90

103 - 15 + 2 = 90

answer is correct

What is 10 to the power of 3.

I would like to thank everyone that asked and answered questions I was stuck on. I graduated last week and couldnt have done it without Brainly.

Answers

Answer:

1000

Step-by-step explanation:

Hello!

10³ can be expanded to 10 x 10 x 10

Multiplying it out, we get 1000.

When multiplying by 10 you basically add a zero to the end, so we add 3 zeroes in total, which gives us 1000.

Exponents

Warning! [tex]x^y[/tex] is not [tex]x*y[/tex]. A very common error.

Instead, picture it as we are multiplying "x" by itself for "y" number of times.

I appreciate your kind comments!

Describe a sequence of transformations that take isosceles trapezoid T to its image T. You may use the transformations reflection, rotation, and translation.


EARN FREE EASY POINTS BY GIVING ME THE RIGHT ANSWER!!

Answers

If the first transformation is a turn then the sequence starts with a rotation. Then the transformation is a dilation of the figure enlarging. The sequence of transformations would be a rotation then a dilation.

The types of rotation are:

Reflection: it is where the graph is inverted and each point is the same distance from the point of reflectionRotation: it is the act of rotating something around the axisTranslation: it is where every point shift by the same unit

In this case:

 ⇒ it is reflection since the graph is inverted and each point is the same distance from the line of reflection

Answer: reflection

Hope that helps!

7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number

Answers

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

I have 1/3 of a pie. You have 1/3 of a pie. Add the pieces of pie together. How much pie do we have?

Answers

Answer:

2/3

Step-by-step explanation:

To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.

[tex]\frac{1}{3}+\frac{1}{3}=\frac{1+1}{3}=\frac{2}{3}[/tex]

If a population consisted of 75,000 people surveying 75,000 people from the population could result in a parameter but not a point estimate. True or false?

Answers

it’s false, it would give a point estimate

( NEED HELP ASAP! do not comment links to the answer, Would greatly be appreciative )

For number 1 I already answered it but can you tell me if I got it correct? or not ? and if I did
Not get it right, can u correct me? Thank you :)

Answers

Based on the number of children and tricycle wheels, the ratio of children to tricycle wheels is 10 : 18

Solving ratio problems

Number of children = 10Number of tricycles = 6Number of wheels per tricycle = 3

Total wheels of tricycle = Number of tricycles × Number of wheels per tricycle

= 6 × 3

= 18 wheels

Ratio of children to tricycle wheels = 10 : 18

= 5 : 9

Therefore, the ratio of children to tricycle wheels is 10 : 18

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Q: Wilma estimates that she’ll drive about 18,000 miles during the year. The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighborhood is $2.72. Locate the error in her calculations, and select the correction.

A: Wilma made a mistake in step 2. Instead of dividing by 12, she should have divided by 24. She should budget $170 per month for fuel expenses.

Answers

The mistake is made in the second step. The correct steps are given below.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

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Write the standard form of the equation of the circle with the given characteristics.
Center: (0, 0); Radius: 2

Answers

Circle Equations

Write the standard form of the equation of the circle with the given characteristics.Center: (0, 0); Radius: 2

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

(h, k) is the center; andr is the radius

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

(x - h)² + (y - k)² = 2²(x - 0)² + (y - 0)² = 4x² + y² = 4

Answer:

The equation of the circle is x² + y² = 4.

Wxndy~~

Which of the following functions best fits the data shown in the scatterplot below? y=100x+2y is equal to 100 x plus 2 y=20x2+10y is equal to 20 x squared plus 10 y=4x+8y is equal to 4 to the x th power plus 8 y=2x+5y is equal to 2 to the x th power plus 5

Answers

The equation of the scatter plot is (a) y = 100x + 2

How to determine the equation of the scatterplot?

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{102 - 2}{1 - 0}[/tex]

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

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A soda factory makes 9 flavors of soda. Each case of soda has 5 cans of each flavor. They produce enough soda to fill 7 cases per hour, 14 hours a day. How many cans of soda does the factory produce in 6 days?

Answers

26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

What is the radius of the circle with center at (-6, -4) that goes through the point (1, -7) rounded to the nearest tenth?

Answers

Answer:

dhususbdgdg

Step-by-step explanation:

hdhakuxtsjwkbevdvsiw in e

Find the area of the following Triangle.

Answers

Answer:

6.25cm²

Step-by-step explanation:

Hello!

The formula for the area of a triangle is [tex]A = \frac12 b*h[/tex]

A = areab = baseh = height

Solve[tex]A = \frac12 b*h[/tex][tex]A = \frac12(5)*2.5[/tex][tex]A = 2.5 * 2.5[/tex][tex]A = 6.25[/tex]

The area of the triangle is 6.25 cm²

Please explain as well!​

Answers

Answer:

The height of the other book is 2 3/4 inches.

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

The height of the other.

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]

Solve for x to get the other book's height.

Convert the mixed fractions to fractions:

[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]

Subtract 19/4 from both sides:

[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]

[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?

Answers

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

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help pleaseeeeeeeeee

Answers

Put the answer choice numbers where the x’s are in the equation and then solve. The ones that are equal to 0 once solved will be your answer
Way to solve is to factor it.
(X-6)(X+4)=0
X= 6 or X =4

n⃗ =〈−2,−1〉 and D=[−4 4 2 3].

What is D⋅n⃗ ?

Enter your answer as a vector by filling in the boxes.

Answers

The dot product of the two matrices D and n is determine as (4, - 7).

Dot product of the vector

The dot product of the two matrices is calculated as follows;

n = (-2, -1), and D = [-4   2]

                               [4    3]

D.n =  (-2, -1). [-4   2]  = (-2 x -4) + (-1 x 4) = 4

                     [4    3]  = (-2 x 2) + (-1 x 3) = -7

D.n = (4, - 7)

Thus, the dot product of the two matrices D and n is determine as (4, - 7).

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Use the net to determine the total surface area.


134.4 in
92.8 in
103.2 in
72 in

Answers

D 72 for lateral surface area

what is the median of the data set represented by the box plot shown below? 38,45,50,60,75

Answers

Answer:

50

Step-by-step explanation:

Calculate the percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours

Answers

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

What is percentage change?

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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What is the ratio of 338 and 508

Answers

RATIO OF 338 : 508

=> 169 : 254

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If f(x) = 3x - 4 and g(x) = x+2, find (f - g)(x). How long does it take a lemon tree to produce fruit. In the religion of the ancient Greeks...a.the kings were thought to be godsb. a priestly class dominated the governmentc.people thought the gods were like humans in many waysd.strict rules separated religion from government True or false: f(x) represents a function.A. True B. False Read the excerpt from Panic in Washington Square Park.The only obstacle keeping Cassandra from fully enjoying the beauty of this glorious day was her mother's absence. Every Wednesday afternoon, Cam, their golden retriever, joined the Doggy Daycare group for an afternoon in Washington Square Park. During that time, Cassandra and her mother spent time together by seeing a Broadway performance, munching on delicacies from a food truck, or walking through a public park. Afterward, Cassandra waited for five minutes by the fountain, while her mother, Carol, picked up Cam from the dog run. She always took this time to enjoy the beautiful day and watch all of the interesting people. Cassandra's brow furrowed as she looked at her watch. Her mother had departed to retrieve their furry pet over twenty minutes ago, an unprecedented amount of time, even for her mother.Cassandra gazed toward the location of the dog park. If her mother or Cam were in trouble, Cassandra needed to help. She strode toward the area for canines with purposeful, determined steps. The air was cooler under the shade of the park's trees. The closer Cassandra got to the dog park, the louder the barks of the dogs became. One noise rose above the rest as she got closer to the dog run.How do the events in the first paragraph contribute to the reader's understanding of Cassandra's actions in the next paragraph?AnswersA Cassandra ate delicacies from a food truck, which led to her decision to leave the park and go get more. 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