Find the coordinates of the intersection of the diagonals
of parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2). Hint: what do we know about
the diagonals of a parallelogram?

Answers

Answer 1

Answer:

We know the basic facts about parallelogram is The basic formula for calculating the area of a parallelogram is the length of one side times the height of the parallelogram to that side.

Step-by-step explanation:

Answer 2

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Parallelogram

A parallelogram is a quadrilateral in which opposite sides are parallel and equal. The diagonals of a parallelogram bisect each other.

Given parallelogram XYZW with vertices X(2, 2), Y(3, 6), Z(10, 6), and W(9,2).

The equation of diagonal XZ is:

[tex]y-2=\frac{6-2}{10-2} (x-2)\\\\y=0.5x+1[/tex]

The equation of diagonal YW is:

[tex]y-6=\frac{2-6}{9-3} (x-3)\\\\y=-\frac{2}{3} x+8[/tex]

The point of intersection is at:

0.5x + 1 = (-2/3)x + 8

x = 6. Hence y = 4

The coordinates of the intersection of the diagonals  of parallelogram XYZW is at (6, 4).

Find out more on Parallelogram at: https://brainly.com/question/970600


Related Questions

help me plz .........
.​

Answers

Answer:

99

Step-by-step explanation:

(40+49)+10=89+10=99

Find the unit rate


5 calculators cost $180


Mowed 6 yards for $30


10 chocolate bars cost $17


5 movie tickets cost $35

$19 for 5 books

200 bagels in 2 hours

56 people can ride the Ferris Wheel in 4 hours

5 cans of green beans for $3.20

3 pounds of bananas for $3.06

4 tickets to the movies costs $36

Answers

The unit rate for the problem is 16

will mark brainliest​

Answers

Answer:

It would be b

Step-by-step explanation:

Answer:

Answer choice 3

Step-by-step explanation:

suppose that when you factor 4t^6-r^10, you get (2t^x+r^y)(2t^x-r^y). determine the sum of t and r.

Answers

Answer:

8

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

[tex]= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}[/tex]

Compare [tex]4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}[/tex]

[tex]4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\[/tex]

Get y;

[tex]r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8[/tex]

Hence the sum of x and y is 8

A cylinder has a height of 7 feet and a radius of 12 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

V=3.14(12)^2(7)

Which equals 3165.1 (I believe)

Answer: 461.6 ft^3

Step-by-step explanation:

Substitute r and h into the volume formula. In this case, the height is 12, so h = 12. The diameter is 7, so the radius is half that, or 3.5. Substitute into the formula and simplify:  V=π(3.5)2(12)V=π(12.25)(12)V=147π

So the exact volume of the cylinder is 147π ft3

.

To find the approximate volume, substitute 3.14 for π

and simplify:V≈147(3.14)≈461.58

. Rounded to the nearest tenth, the approximate volume of the cylinder is 461.6 ft3

.

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

For ever 1 cat, there are 4 dogs.

3 and 3/4 times 4 and 5/6

Answers

Answer: 3  1 /8

Step-by-step explanation: (3  3 /4 )( 5 /6)

=(15 /4) ( 5 /6 )

= 25 /8

=3  1 /8

So, you go to a Coffee Shop. They have either small, medium or large coffee. They have vanilla or hazelnut flavor. What are the different combinations of coffees you can make?

Answers

Answer:

6

Step-by-step explanation:

Size times flavor. 3 times 2 = 6

A research study states that 33% of homeowners are members of the neighborhood watch. The probability of a homeowner being a member of the neighborhood watch is 0.45.
What is the probability that 1 out of 3 homeowners in the city are members of the neighborhood watch?

Answers

Answer:

45% chance that a homeowner is on the community watch.

Step-by-step explanation:

Answer:

approximately 0.4084

Step-by-step explanation:

what is y+26(9-x)=290

Answers

Answer:

y = 56 + 26x

Step-by-step explanation:

-19 + m > 36
(The greater than sign has a line under it btw)

Answers

Answer:

m> 55 (you only flip the direction of the sign when you divide by a negative number)

Step-by-step explanation:

Answer:

m > 55

Step-by-step explanation:

simplify both sides of the inequality

m - 19 > 36

Add 19 to both sides

36+19

m>55

Hope this helps :D

What is 125x+200 on a number line

Answers

Answer:

125 (x+4)

Step-by-step explanation:

all you have to do is group the common factor


What is the x-intercept of the line below?

Answers

Answer:

(2,0) or 2

Step-by-step explanation:

The x-intercept is the point where the line intercepts or goes through the x-axis. The x-axis is the horizontal line that is labeled x.

Another way to find the x-intercept is to find the x value when the y value or f(x) equals zero.  

Tell the next two terms in the sequence: 40, 10, 5/2, 5/8​

Answers

Answer:

5/32 & 5/128

Step-by-step explanation:

the product of x and 5

Answers

Answer: The product of x and 5 is 5x

can someone help me and show me all the steps you did to get the answer

STEP BY STEP

Answers

Vertical Angles Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent.

6x - 7 = 4x + 7
2x = 14
x = 7

Or you can also do supplementary angles

6x - 7 + 20x + 5 = 180
26x - 2 = 180
26x = 182
x = 7

The answer is x = 7

which decimal is equivalent to 4/15​

Answers

Answer:

0.2667

Step-by-step explanation:

all you need to do is 4 divided by 15 which equals 0.2667 as a decimal

I hope this helps!

Answer:

4/15 is

equivalent to 0.2667

A factory is currently producing 50 Teslas everday. How many Teslas will be produced each day if production is to be increased to 130%?

Answers

Answer:

65

Step-by-step explanation:

If 100% they probably produce exact 50 of it everyday

so we need to find 30%

30/100 × 50 = 15

100% + 30% = 130%

50 + 15 = 65

Write and equation of the line that contains the points below.
(-5, 4) and (-1, -8)

Answers

y= 3x-11 (slope-intercept form)

WILL GIVE BRAINLIEST!!!!!! (25 points) Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;
●cups and liters,
●cups and pints,
●and pints and liters.
Show all your work and submit your work along with the resulting relationships.

Answers

Answer:

7 cups + 3 litres = 9.8 pints

⇒ Equation 1

5 litres - 9 cups = 6 pints

⇒ Equation 2

Relationship between cups and

Rearranging equation 1 to make pints the subject

⇒ substitute this into Equation 2

Hence, 1 litre = 2.1 cups

Relationship between cups and pints

Rearrange equation 1 to make litres the subject

⇒ Substituting this into Equation 2

Hence, 1 pint = 2 cups

Relationship between pints and liter

Rearranging equation 1 to make cup the subject

⇒ subsitute this into equation 2

Hence, 1 liter = 2.1 pints

15 POINTS PLS HELP
What is the slope of a line that is parallel to -x + 3y = 6
o – 1
o 1/3
O 6
O 3​

Answers

Answer:

1/3

Step-by-step explanation:

Parallel lines have the same slope.

Put the line in slope-intercept form first,though.

3y=x+6

divide by 3

y=1/3x+2

How do I solve this problem?

Answers

Answer:

4

Step-by-step explanation:

17-5=12/3=4 so yeah that is all you need to know

The answer 4 and I hope that helps

helppp this is due at 1:20

Answers

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

BRAINLIEST

Is the following relation a function? (-2,-2) (2,8) (3,2) (3,1) (7,-5)

Answers

No it is not.
Function cannot have different outputs for the same input
(3,2) and (3,1) have the same input but different outputs, not a function

Round 431,857 to the nearest ten thousand

Answers

Answer:

i don' think you can

Step-by-step explanation:

Mr. Oliveros takes theater students to a play. Mr. Oliveros spends $45.00 in all.
He pays $10.00 for his ticket and spends the rest on student tickets. Each
student ticket is $2.50. How many student tickets does Mr. Oliveros buy?
Show your work.

Answers

Answer:

$45.00-$10.00=$35.00

2.50x14= $35.00

Therefore he bought 14 student tickets

which expression means “one-fourth of x”?
a. x divided by 4
b. 4x
c. x-1/4
d. x+1/4

Answers

Answer:

A

Step-by-step explanation:

It would be either 1/4x or x/4 which is basically the same thing

Original cost $7.50 markup % 50%

Answers

Answer:

3.75

Step-by-step explanation:

3.75 because 7.50 × .50 (or 7.50/2) is 3.75

cynthia has earned 1,000 and wants to put it in a savings account that earns 5% simple interest assuming she makes no additional deposits or withdrawals what will be the total value of cynthias account after 48 months

Answers

Answer:

6746734

Step-by-step explanation:

first fo 45 minus 45 get 0 add then 56 plus 34

Answer:

1200

Step-by-step explanation:

1000(1+.05x4)

5%=.05

convert the months into years

Can someone help me. I don't get this

Answers

Last option — a decimal that terminates after three decimal places

Hope this helps good luck u can do thisss :)
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