Is QRST at the right a rectangle? Explain.

Is QRST At The Right A Rectangle? Explain.

Answers

Answer 1

Answer:

Right rectangle.

Step-by-step explanation:

The rectangle will be a right rectangle only if the opposite sides are parallel to each other.

This means that RQ should be parallel to ST

And RS should be parallel to QT

Each side can be represented by a line with a restricted domain, and we know that two lines are parallel only if they have the same slope.

Remember that the slope relates to how a change in the x-value makes a change in the y-value.

Then if two segments have, for a fixed change in the x-value, the same change in the y-value, we can conclude that those segments are parallel.

So here to see if the lines are parallel, we just need to compare the changes between the endpoints of each segment.

Let's start with segments QR and TS

First let's look at the segment QR, and let's try to find the difference in the coordinates between R and Q.

In the graph, we can see that R is 3 units above and one unit to the right of Q.

Now let's do the same for the other segment:

In the graph, we also can see that S is 3 units above and one unit to the right of T.

So these two lines will have the same slope:

Only with this, we can conclude that sides QR and TS are parallel.

Now with the other two segments: RS and QT.

Similar to the above case, for the segment RS we can see that S is 4 units at the right and 1 unit below R.

For the segment QT, we can see that T is 4 units at the right and one unit below Q.

So segments RS and QT have the same slope, thus, the segments are parallel.

Then we can conclude that this is a right rectangle.


Related Questions

What is the volume of the solid figure?
Solid is made up of 2 cuboids. First cuboid has length as 15 in., height as 5 in. and width as 5 in. Second cuboid has length as 5 in., height as 10 in. and width as 5 in. HELP ASAP I HAVE 1- MINUTES LEFT!!!

Answers

Answer:

The volume of the solid figure = Volume of the first cuboid + Volume of the second cuboid

The volume of the solid figure = 15×5×5 + 5×5×10

Or, The volume of the solid figure = 375 + 250

Or, The volume of the solid figure = 625 inch³

Therefore, the volume of the solid figure = 625 inch³

Step-by-step explanation:

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REPOST!!!!!! 20 POINTS!!!!!!


A, B, and C are points of tangency in the given Circle, a m equals 6, BK equals 4 in the perimeter of mkn is 34 ​

Answers

Answer:

A

Step-by-step explanation:

according to tangent property

we get

AM=BMAN=CNBK=CK

Given that

AM=6BK=4

Thus our equation is

[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]

substitute the given values

[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]

simplify multiplication:

[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]

simplify addition:

[tex] \rm \displaystyle 2AN+ 20= 34[/tex]

cancel 20 from both sides:

[tex] \rm \displaystyle 2AN=14[/tex]

divide both sides by 2:

[tex] \rm \displaystyle AN=7[/tex]

AN=CN

hence,CN=7

therefore our answer is A

A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it needs to be placed 3 feet away from the wall. What size ladder does the painter need to buy to ensure that he will be able to paint the highest point of the wall? Write your answer rounded to the ncarest tenth.​

Answers

Answer:

222! thats your answer!

Step-by-step explanation:

The quantity indicated is...........

Answers

1.) The answer is D .

There were x cupcakes at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cupcakes that were left.

Answers

Answer: x - 16

Step-by-step explanation:

Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:

= x - 16

For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:

= x - 16

= 20 - 16.

= 4

There'll be 4 left

hii please help i’ll give brainliest!!

Answers

I'm 69% sure I'm right the answer is A

How to solve this equation?

Answers

It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!

Answer:

y=y

x=3y+3

Step-by-step explanation:

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

[tex]9y=3x-9[/tex]

Plug the second equation [tex]x=3y+3[/tex] into the above equation as x

[tex]9y=3(3y+3)-9[/tex]

Open up the brackets

[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]

This system of equations has infinitely many solutions.

When graphed, the two lines will overlap each other.

Therefore, y=y and x=3y+3.

I hope this helps!

hello there,

can someone please help me with this question

Answers

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is [tex]\frac{360-72}{2} =144[/tex].

The formula to find the interior angle of a polygon is [tex]\frac{180(n-2)}{n}[/tex]

[tex]\frac{180(n-2)}{n} =144[/tex]

Multiply both sides by n:

[tex]\frac{180\left(n-2\right)}{n}n=144n[/tex]

[tex]180\left(n-2\right)=144n[/tex]

Expand:

[tex]180n-360=144n[/tex]

Add 360 to both sides:

[tex]180n-360+360=144n+360[/tex]

[tex]180n=144n+360[/tex]

Subtract 144n from both sides:

[tex]180n-144n=144n+360-144n[/tex]

[tex]36n=360[/tex]

Divide both sides by 36:

[tex]\frac{36n}{36}=\frac{360}{36}[/tex]

[tex]n=10[/tex]

Marco has 2 bags of flour with 6
cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3
cups of flour for each batch.
How many more batches of muffins can Marco make with the flour he has left?

Answers

Answer:

2 batches

Step-by-step explanation:

15 points, needs to be done ASAP! Any joking around will lead to a report.

Answers

Answer: The mean is 6.

Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.

Answer:

6.

Step-by-step explanation:

First you take the data on the dot plot, and write the numbers down from least to greatest.

The data set:

2,3,6,6,7,8,8,8

Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.

2+3+6+6+7+8+8+8=48

Next we count all the number in the data set we made.

2,3,6,6,6,7,8,8,8 = 8

The amount of numbers in this data is 8.

Lastly we then divide 48 by 8.

48/8= 6

So your answer is 6!

please help me solve for the area

Answers

Answer:

-9

Step-by-step explanation:

why not

Answer:

5x4x9=180  then 4 divided by 2 is 2 then 2x180 you get the answer

Step-by-step explanation:

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2

Answers

bestie i would say it’s A because you multiply and you don’t have the other surface areas hope this helps <3

PLEASE HELP!!! I have no clue how to find the perimeter of MNP

Answers

Answer:

130

Step-by-step explanation:

Triangle MNP is twice the size of triangle SRP. So 2(x+4)=5x-34.

Distribute: 2x+8=5x-34

Add 34 on both sides: 2x+42=5x

Subract 2x on both sides: 42=3x

Divide both sides by 3: 14=x

If x=14, then 5x-34

is 5(14)-34=70-34=36.

The perimeter of the triangle MNP is

MN+NP+PM.

MN is 36

NP is doubled the 22 because triangle MNP is twice the size of triangle MQS. So NP is 44.

PM is doubled the 25 because triangle MNP is twice the size of triangle QNR. So PM is 50.

The perimeter of the triangle MNP is

MN+NP+PM

=36+44+50

=130

A zoo keeper used 15 bags of acacia leaves to feed the giraffes and 8 bags of eucalyptus leaves to feed the koalas. Write a ratio that compares the number of bags of acacia leaves to the number of bags of eucalyptus leaves.

Answers

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

Consider this right triangle...

Omg pleaseeeee help me!! I have SBA Math Test on Friday and I forgot everything I learned last year from Geo. Help would be very very much appreciated!! WILL GIVE BRAINLIEST!! Thank you so muchhhhh <3

Answers

Answer:

33°

Step-by-step explanation:

have a nice day!! :)

Write 11 x 11 x 11 x 11 x 11 x y X y X y in
exponential form.

Answers

11 × 11 × 11 × 11 × 11 × y × y × y = 11⁵y³

Or, if you meant

11 × 11 × 11 × 11 × 11 × y X y X y = 11⁵X²y³

Somebody please help

Answers

I think that it is three
i believe it would be 6 because two y balance out the other side which is 12.

If x = 15 units and h = 4 units, then what is the area of the triangle shown above?
A. 8 square units
B. 30 square units
C. 60 square units
D. 90 square units

Answers

Answer:  B. 30 square units

Step-by-step explanation:

Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units

A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?

Answers

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

Reenu got 2/ 7 part of an apple while Sonal got 4/5 part of it. Who got the larger part and by how much?​

Answers

Reenu did because if I had 1/4 and 1/2 the bigger one is the 1/2

Help I’ll give brainliest!

Answers

8-3/2-2
Answer:
Undefined

Answer:

Undefined

Step-by-step explanation:

Gradient/slope = [tex]\frac{8-3}{2-2} = \frac{5}{0}[/tex] (change in y / change in x) = Undefine

Help!! Any effort is very much appreciated

Answers

Answer:

-2

Step-by-step explanation:

Gradient/slope =  [tex]\frac{-1-19}{16-6} = \frac{-20}{10} = -2[/tex]

What is the largest two-digit number that is a multiple of 21?

Answers

Answer:

84

Step-by-step explanation:

The largest two digit number that is a multiple of 21 is 84

Please help me with this question

Answers

Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

Help is this correct??

Answers

Answer:

if the cubes were hidden, but I belive the answer is none

Step-by-step explanation:

Answer:

Yes it is B when looking at it from top view thats what it comes out to look like great job.

what is the value of the expression 5/6 - 2/5(4 - 1/2)?
A. -17/30
B. 91/60
C. -38/30
D. 21/2
pls answer quickly im doing a test.

Answers

fraction: -17/30
decimal: -0.56
what is the value of the expression 5/6 - 2/5(41/2)?
Answer
D. 21/2

Plis only answer correctly

Answers

Answer:

d

Step-by-step explanation:

d

dkimiunuhbubhwswdqwduoewdWEC W vcuuhdcosv

The answer is B
Because it’s the most likely

help
me
please


(WILL GIVE BRAINLIEST)

Answers

Answer:

3

Step-by-step explanation:

Answer:

this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)

Item 3 RectangleABCD has vertices A(1, 2), B(4, 2), C(1, −2), and D(4, −2). A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (24, 12)? A′ B′ C′ D′

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure its b because its ratio matches the (4,2)

Answer:

B'

Step-by-step explanation:

What is the area of this trapiziod

Answers

Answer:

30 in²

Step-by-step explanation:

A=(b1+b2)h/2

A=(10+5)4/2

A=(15)4/2

A=60/2

A=30 in²

Answer:

Hello! I believe its 30

Triangle to the left I did 4 x 3 = 12 ÷ 2 =6

Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4

Then I did square in the middle so 5 x 4 = 20

Now i add these up 20 + 6 + 4 = 30

Hope this helps!

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