Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices $Q\left(-1,\ 3\right),\ R\left(5,\ 2\right),\ S\left(1,-2\right),$ and $T\left(-5,-1\right)$

Answers

Answer 1

The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)

The coordinates of the parallelogram QRST are:

Q = (-1, 3)

R = (5, 2)

S = (1, -2)

T = (-5, -1)

The diagonals of  parallelogram QRST are QS and RT.

Let M be the point of the intersection of the diagonals of the parallelogram QRST

The diagonals of a parallelogram bisect each other.

This means, M is midpoint of diagonals QS and RT.

Consider diagonal QS.

Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)

Using midpoint formula the coordinates of M would be,

M =  ((x1 + x2)/2, (y1 + y2)/2)

M = ((-1 + 1)/2, (3 - 2)/2)

M = (0/2 ,  1/2)

M = (0, 1/2)

Therefore, the point of intersecton of QS and RT is (0, 1/2)

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Related Questions

A solution of 60 quarts of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar

Answers

On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

1200=300+5x

900 = 5x

x=180

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u get brainliest if you anser first and is right if i get this wrong i fail pls help me
for 50 points

Answers

what do you need help with

The length of an object in feet is equal to 3 times it's length in yards. The length of the boat is 36 feet. Write and solve a multiplication equation to find the length of the boat in yards

Answers

In linear equation ,The length of waterslide is 12 yards.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that,

The length of an object object in feet is equal to 3 times it’s length in yards

The length of wall water side slide is 36 feet

Let "y" be the length of object in yards

From given,

Length in feet = 3 times length in yards

    36 =  3 * y

     3y = 36

    y = 36/3

     y = 12

Thus length of waterslide is 12 yards.

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SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!

Answers

A quarter equals 0.25

You want to multipole the number of quarters you have by 0.25 to get the total value.

The equation would be V = 0.25n

The output would be V which is the dollar value of the number of quarters you have.

The independent value would be the input value (n) which is the number of quarters you have.

Write an equivalent expression by distributing the "-" sign outside the parentheses:

-(-10p - 0. 7q) – 4. 6

Answers

After distribution of the negative sing in the parenthesis, the equivalent expression is 10.7p - 4.6

The expression that is given to us is -(-10p - 0. 7q) – 4. 6.

Now, we know that the meaning of equivalent expression is the it has the same value as that of the original expression.

We have to use the "-" and distribute it over the expression to form an equivalent relation,

So, we know,

-(-10p - 0.7q) – 4.6

Here, p is a constant,

Multiplying the negative sign inside of the bracket,

= (-(-10p)-(-0.7p)-4.6

= 10p + 0.7p - 4.6

= 10.7p - 4.6

So, the equivalent expression is 10.7p - 4.6.

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Scarlett is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

Answer:

24 different outcomes

Step-by-step explanation:

The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps

EASY POINTS!! EASY POINTS!!

A factory ships sunglasses in boxes that each have the same number of sunglasses. The table shows the data for 4 shipments.

Which rate represents the relationship in the table?

A. 100 sunglasses per 4 boxes
B. 5 sunglasses per 125 boxes
C. 4 sunglasses per 100 boxes
D. 225 sunglasses per 8 boxes

NO LINKS OR FILES!!!

Answers

Answer:

A

Step-by-step explanation:

2 boxes has 50 glasses

times by 2 and its equal to A

Answer:  A or B

Step-by-step explanation:

Need the answer for these

Answers

Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

In the figure, triangle ABC is a right triangle and m of angle A = 40 degrees. What is the measurement of angle ECD?

Answers

Answer:

Solution given:

<A=49°

<B=90°

angle ECD=?

we have

<A+<B+<C=180°[sum of interior angle of a triangle is 180°

<A+40+90=180°

<A=180°-130°

<A=50°

wehave

<A=<ECD[vertically opposite angle]

:.angle ECD=50°.

I have a 1 in the ones place, a 4 in the tens place, and a 5 in the hundreds place.

Answers

Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

A marketing research company desires to know the mean consumption of meat per week among males over age 50. They believe that the meat consumption has a
mean of 3.5 pounds, and want to construct a 95 % confidence interval with a maximum error of 0.08 pounds. Assuming a standard deviation of 0.6 pounds, what is
the minimum number of males over age 50 they must include in their sample? Round your answer up to the next integer.

Answers

Answer:

we get a required sample size of 122.

Step-by-step explanation:

We can use the following formula to calculate the required sample size:

n = (Z * sigma / e)^2

where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)

sigma is the standard deviation of the population

e is the maximum error allowed

Plugging in the given values, we get:

n = (1.96 * 0.6 / 0.08)^2 = 121.6

Rounding up to the next integer, we get a required sample size of 122.

Sherane rolls a standard, six-sided number cube.

What is the probability of rolling a multiple of 3?

Answers

Answer: 1/3 or 33.3% (rounded to nearest tenth)

Step-by-step explanation:
3 and 6 are multiples of 3
6 sides of a dice
2/6= 33%

What does a 30 60 90 triangle look like?

Answers

The 30-60-90 triangle is shaped like half of an equilateral triangle.

A special right triangle with angles 30°, 60°, and 90° is called a 30-60-90 triangle. Since 30° is the smallest angle in the triangle, the side opposite to the 30° angle is always the smallest.

The side opposite to the 60° angle is the longer leg, and finally, the side opposite to the 90° angle is the largest side of the right triangle, also known as the hypotenuse.

30°-60°-90° Triangle Rule:

In a 30-60-90 triangle, we can find the measure of any of the three sides by knowing the measure of at least one side in the triangle. This is known as the 30-60-90 triangle rule.

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Why parallel algorithm is better than a sequential algorithm?

Answers

The capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

What is the differences between parallel algorithm and sequential algorithm?

The differences between parallel algorithm and sequential algorithm are-

Sequential algorithm

One by one, each instruction is carried out in order. It only has one processor.Due to the single processor, it performs poorly and puts a heavy burden on the processor.The format utilized for data transport is bit-by-bit.The entire process takes longer to finish.Low price

Parallel algorithm

Every command is carried out simultaneously.There are several processors in it.Due to the several processor, it performs very fast and puts no burden on the processor.Transfers of data occur in bytes.The entire process takes less time to finish.Price is expensive.

Due to capacity to complete complex tasks quickly enough to make them useful is the main benefit of choosing a parallel algorithm over a sequential algorithm.

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Pls help help help I’m failing help pls

Answers

Answer:

You must check the following boxes: whole number, integer, rational number, and real number.

Step-by-step explanation:

The answer to that expression is 3. It fits within the aforementioned boxes. Hope this helps; have a great day!

Answer:

EXCEPT IRRATIONAL NUMBER ALL ARE CORRECT.

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

1+1
2+2
3+3
Add all that up

Answers

Answer:

1+1

2+2

3+3= 12

Step-by-step explanation:

pls can I get branliest I need it

Answer:

12

Step-by-step explanation:

1+1+2+2+3+3

2+2+2+3+3

4+2+3+3

6+3+3

9+3

12

How do you find out if a triangle is acute obtuse or right?

Answers

a right angle has a 90 degree angle, an obtuse angle has an angle greater than 90 degrees, and an acute angle has an angle less than 90 degrees

WILL GIVE BRAINLIEST + 5 STAR

x=
Length=
Width=

Answers

Answer:

16

14

8

Step-by-step explanation:

The effect of wearing different types of running shoes on the time it takes to
complete a race is being studied in an experiment. Which of these is most
likely to be an extraneous factor that could also affect the time it takes to
complete the race?
A. Number of people the stadium can hold
OB. Color of the shoes
OC. Day of the week
OD. Type of treads on the shoes

Answers

Most likely one of these unrelated factors that could possibly have an impact on how long it takes to finish the race is the environment

What is meant by extraneous solution?An extraneous solution (also known as a spurious solution) is a solution that develops during the problem-solving process but is not a true solution to the issue at hand, such as the answer to an equation. Any variable that you are not researching but that might have an impact on the results of your research study is referred to as an extraneous variable in an experiment. Uncontrolled auxiliary variables can result in conclusions regarding the link between independent and dependent variables that are incorrect. The numbers we obtain when solving equations that aren't actually solutions to the equation are referred to as extraneous solutions. Extraneous variables are anything that could potentially influence the outcomes but is not the independent variable.

Therefore the correct option is a) Number of people the stadium can hold

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Given
A
B


D
C

AB

DC
and
B
C


A
D

BC

AD
, prove

A
B
C


C
D
A
△ABC≅△CDA by filling out the flowchart below.

Answers

The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.

What is triangle ?

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

given

AB||DC , BC||AD

To show that

ΔABC≅ ΔCDA

First box

AB || DC (given )

below box to the first box

∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )

Second box

BC||AD ( given )

Below box to the second box

∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )

Third box in the second row

AC = AC ( common side )

Last box

So by using ASA congruence axiom

ΔABC ≅ΔCDA

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HELP
Ps; i am only writing like this becase i need people to see this

Answers

Thanks dude!

Step-by-step explanation:

Can i have brainly?

7+2x÷3=5 what is x Pls help​

Answers

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{7+2x}{3}[/tex] = 5 ( multiply both sides by 3 to clear the fraction )

7 + 2x = 15 ( subtract 7 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

solve the following equations graphically
x + y=3 & x-3y= -5

Answers

Answer:

[tex](x,y)\rightarrow(1,2)[/tex]

Step-by-step explanation:

Multiply first equation by 3 to help cancel out the "y" variable:

[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]

Combine system of equations on both sides:

[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]

Thus,

[tex]x+y=3\\1+y=3\\y=2[/tex]

What is a algebraic expression for 1,10,19

Answers

The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

What is the algebraic expression for the given sequence?

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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Which form of payment can Courtney lose and not get back?

Answers

Answer:

Probably cash

Step-by-step explanation:

Because the other one would have your name and information on it and cash doesn't have any information or anything.

Answer:

credit

Step-by-step explanation:

because someone could take it hack into your account and steal your money with the information

Annie and Bonnie are running laps around a 400-meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie

Answers

Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.

What unitary method examples are there?

We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.

What circumstances allow us to use the unitary method in our daily lives?

The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.

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Ms Steward is training for an IronMan Competition. She is determined to shatter every record ever known. She bikes, runs and swims. In two weeks she bikes 75.4 miles 8 times. She runs 22.4 miles three days and 27.5 miles 5 days. She swam 15 miles for 7 days consecutively. How many miles did Ms. Steward train in all?

Answers

Answer:

912.9 miles total

Step-by-step explanation:

75.4 miles biking x 8 times =  603.2 miles in biking

22.4 miles running x 3 days =  67.2 miles in running

27.5 miles running x 5 days =  137.5 miles running (2nd)

15 miles swimming x 7 days =  105 miles swimming

603.2+67.2+137.5+105 =

912.9 miles total

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted

Answers

If six different colors of paint are available, 360 ways can the knobs be painted.

how many ways can the knobs be painted?

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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A triangle has an angle that measures 115°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?

Answers

Answer:

30° ; 35°

Step-by-step explanation:

Recall:

Sum of angles in a triangle = 180°

One of the 3 angles = 115

The sum of the other 2 Angles will be :

(180 - 115) = 65°

The other two angles are in the ratio 6:7

Hence,

Each of the two angles can be calculated thus :

Angle 2 :

Sum of ratio = 6 + 7 = 13

(6 / 13) * 65 = 30°

Second angle :

(7 / 13) * 65 = 35°

What’s the area of a square is all sides are 6 feet long?

Answers

Answer:

36 sq ft

Step-by-step explanation:

The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.

Answer:

36

Step-by-step explanation:

you multiply just two of the sides hxw and you get your answer

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