In a rectangle KLMN, the diagonals KM and LN intersect at O. (i) If KO = 4y + 6 and ON = 3y + 11, find the lengths of its diagonals. (ii) If ∠NKM = 32°, find ∠KON and ∠KMN. GUYS, IT'S VERY URGENT. I HAVE TO SUBMIT TOMORRIW. PLS ANS. PLS DON'T GIVE WRONG ANSWERS

Answers

Answer 1

Answer:

Step-by-step explanation:

In a rectangle KLMN, if the diagonals KM and LN intersect at O, then KO = ON

GIVEN

KO = 4y+6

ON = 3y+11

Equate

4y+6 = 3y+11

Collect like terms

4y-3y = 11-6

y = 5

KO = 4(5)+6

KO = 20+6

KO = 26

Note that KO = OM = LO = ON = 26

Hence ON = 26

For diagonal KM,

KO+OM = KM

KM = 26+26

KM = 52

LN = LO+ON

LN = 26+26

LN = 52

From.the digram, ∆KON is isosceles triangle hence <KON = KNO =32°

<KON = 180-(32+32)

<KON = 180-64

<KON = 116°

<ONM = 90-32

<ONM = 58°

∆ONM is also an isosceles triangle,

<ONM = <OMN = 58°

Hence <KMN = 58°


Related Questions

Is the airplane’s altitude a function of time?

Answers

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

You are on a road trip and need to travel 300 km. The speed limit is 80 km/hr. How
long will it take you to make the trip?

Answers

Answer:

3 3/4 or 3.75 hours.

Step-by-step explanation:

If you need to travel 300 km, assuming you are going at the speed limit, you take the total amount and divide it by that.

300 / 80 = 3.75 hours

Each serving of a cereal is 80 calories. Which expression can be used to find the number of calories in 3 servings?
80 times 3
80 divided by 3
3 divided by 80
80 minus 3

Answers

Answer: 80 times 3

Step-by-step explanation: Each serving is 80 calories so multiply to get the total.

Answer:

A

Step-by-step explanation:

80 x 3

Can you tell me how to divide more easily? ❤️

Answers

Answer: Either use a calculator or do mental math/ practice more often.

Answer:

look t it like multiplication then the answer is divided by one of the numbers

Step-by-step explanation:

hope this was helpful lol

GIVING BRAINLIEST, THANKS AND FIVE STARS TO RIGHT ANSWER! HAVE A GREAT DAY THANK YOU :D
Which of the multiplication properties is shown?

16 × 27 = 27 × 16

Zero Property of Multiplication

Identity Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:

The correct answer is the Commutative Property of Multiplication

Step-by-step explanation:

The Zero Property of Multiplication states that the product of two nonzero elements is nonzero.

The Identity Property of Multiplication  states that the product of 1 and any number is that number.

The Commutative Property of Multiplication  states that the order in which we multiply numbers does not change the product.

The Associative Property of Multiplication  states that the way in which factors are grouped in a multiplication problem does not change the product.

Complete the square to write 16t² - 96t + 48 = 0

Answers

Answer:

first part:

(t-3)^2=6

second part:

0.55

5.45

Step-by-step explanation:

answer on edge uity

Complete square form of the equation  16t² - 96t + 48 = 0 is (t -3)² = 6.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

16t² - 96t + 48 = 0

To find the square for the quadratic equation,

Simplify the quadratic equation,

16(t² - 6t + 3 ) = 0

Add 96 in whole equation,

16(t² - 6t + 3 + 6) = 16 x 6

16(t² - 6t + 9) = 96

t² - 6t + 9 = 96 /16

t² - 6t + 9 = 6

(t -3)² = 6

The required square form of the equation is (t -3)² = 6.

To know more about Quadratic equation on:

https://brainly.com/question/17177510

#SPJ2

This graph shows a proportional relationship.
What is the constant of proportionality?

Answers

Answer:

y=40x

Step-by-step explanation:

Answer:40

Step-by-step explanation:

I already know that the answer is 190 but why

Answers

Answer:

You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.

Step-by-step explanation:

Hope this helps

i’ll mark brainlest !! (60 points )

Answers

Answer:

B and D are the answer's.

Step-by-step explanation:

please help me with this system of equations problem before I go insane the preferable solving methods would be through substitution or elimination

Answers

Answer:

x=8, y=0, z=-3

Step-by-step explanation:

Preferable is substitution because there is less room for mistakes but its long so here goes bare with me on this one :D

Name your equations

4x+2y-5z=47 (first eq)

x-2y+6z=-10 (second eq)

9x-7y-z=75 (third eq)

Lets take the easiest eq to isolate one variable lets take 2nd eq

[tex]x-2y+6z=-10\\x=2y-6z-10[/tex]

now this becomes our fourth eq

now again take the easiest eq to isolate another variable lets take the 3rd eq

[tex]9x-7y-z=75\\9x-7y-75=z[/tex]

now this becomes our fifth eq

and now plug in our fifth eq in the fourth eq because we now have z in terms of x and y

[tex]x=2y-6z-10\\x=2y-6(9x-7y-75)-10\\x=2y-54x+42y+450-10\\x+54x=2y+42y+450-10\\55x=44y+440\\\\x=\frac{44y+440}{55}[/tex]

and now we got our sixth equation which is x only in terms of y.

now we plug in our sixth equation in our fifth eq to get z in terms of y only

[tex]z=9x-7y-75\\\\z=9(\frac{44y+440}{55}) -7y-75\\z=\frac{396y+3960}{55} -7y-75\\z=\frac{396y+3960-385y-4125}{55} \\z=\frac{11y-165}{55}[/tex]

now we have our seventh eq and x &z in terms of just one variable y , now we put equation of z and x which is our sixth eq and seventh eq in our first eq.

[tex]4x+2y-5z=47\\\\4(\frac{44y+440}{55})+2y-5(\frac{11y-165}{55}) =47\\\\\frac{176y+1760}{55} +2y-47=\frac{11y-165}{11} \\\\\frac{176y+1760}{55} -\frac{11y-165}{11} -47=-2y\\\\\frac{176y+1760}{55}-(y-15) -47=-2y\\\\\frac{176y+1760}{55} -y-32=-2y\\\\\\frac{176y+1760}{55}=-2y+y+32 \\\\176y+1760=55(-y+32)\\176y+1760=-55y+1760\\176y-55y=1760-1760\\121y=0\\y=0[/tex]

and now finally we got y=0 now we need the value of x and z, put the value of y=0 in our seventh eq (z equation)

[tex]z=\frac{11y-165}{55} \\\\z=\frac{11(0)-165}{55} \\\\z=\frac{-165}{55}\\\\z=-3[/tex]

and now we put the value of y=0 in our sixth eq (x equation)

[tex]x=\frac{44y+440}{55} \\\\x=\frac{44(0)+440}{55} \\\\x=\frac{440}{55} \\\\x=8[/tex]

and now we got all the three values and hence the solution of the system of equation is

x=8, y=0, z=-3

What's the difference between Direct and Inverse Proportion? Please explain ​

Answers

Answer: Direct means when x goes up y also goes up, inverse means when x goes up, y goes down and vice versa.

Answer:

Step-by-step explanation:

The answer is that with direct variation, the value and the quantity changes and goes according, either lower or higher, but with inverse variation, the value can go higher, and the quantity can go lower, and the quantity can go higher, but the value can be lower.

how do i do this
10 x 10 x 10 =
10 squared =
10 6

Answers

Answer:

Well 10 to the 6th power right?

Step-by-step explanation:

well u multiply 10x10x10x10x10x10

1000000

im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc

1000000 that is your answer

Pls help hurry I need to find the slope

Answers

Answer:

a. -1

Hope this helps!

The answer would be C.

Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?

Answers

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]

There are 9 plates with [tex]q_2[/tex] from sweet plates which are  [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]

Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

[tex]= 9+9+9+9+9= 9\times5=45[/tex]

Answer:

45

Step-by-step explanation:

each savory dish gets one sweet dish therefore 9*5=45

Please help me. how do you find the slope?

Answers

Answer:

The slope of the line is 4.

Step-by-step explanation:

Remember to keep rise and run over mind. Starting at (-1,0), the line goes up four to (-1, 4) and the runs one point to (-1, 0). Hope this helps!! Please mark as helpful if it was helpful.

Slope = 4

Rise over run

Count how many points you go up

Then count how many you go to the side

You rise 4

And run 1

So 4/1

Which is 4

A half of a number added to 7 gives 19. What is the number? *

Answers

Answer:

24

Step-by-step explanation:

---------------

24÷2=12

12+7=19

---------------

Answer:2412 gives you 17. (12+7=19)And 12 is half of 24.

Rectangle ABCD is rotated 360° around the origin.

What is the coordinate of C’?
(–4, –4)
(4, –4)
(4, 4)
(–4, 4)

Answers

Answer:

it will be the same point as C was already in as it took a complete revolution around the origin

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Trust me its D the other guy is wrong

the table shows the values for the function f(x) and g(x) which function has the greater rate of change over the interval is [5,12]

a) f(x)
b) g(x)
c) the rates vary
d) the rates are equal

sorry I forgot to include the table last time​

Answers

Answer:

the awnser is C because the other awnsers don't exactly make sense

Step-by-step explanation:

just kinda mental math

Answer:

so the answer isnt c so if i had to make an educated guess its d

Please help with this and explain your answer and how you got it.

Answers

Answer:

V=48

Step-by-step explanation:

V=whl

V=2*3*8

V=48

Hope this helps! :) Plz mark as brainliest

If a + b = -3 and ab = -5/2

then find the quadratic equation whose roots
are a and b.

Answers

Given :

• Sum of zeroes ( a + b ) = -3

• Product of Zeroes ( ab) = -5/2

To find  :

• The quadratic equation .

Solution :

As we know that :

• Quadratic equation

=> x² - ( sum of Zeroes )x + product of zeroes =0

Put the given values :

=> x² - (-3)x + ( -5/2) = 0

=> x² + 3x -5/2 = 0

=> (2x² + 6x -5) / 2 = 0

=> 2x² + 6x -5 = 0

Hence , the quadratic equation is 2x² + 6x -5 .

I hope it will help you.

Regards.

Which of the following inequalities is shown in the graph

Answers

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob

Answers

Answer:

0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

HELP QUICK, WILL GIVE BRAINLIST!!!

Answers

Answer:

The flag pole is 12.8 feet tall.

Step-by-step explanation:

doing the second one hold up

X^2+ 17x+91=0
Help please!!

Answers

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

Please help me idk this

Answers

Answer:

Step-by-step explanation:

SoOOoooooOOOOOooo . . . lemme explain how do use a stem and leaf plot

Basically, if you have a two-digit number, the first digit goes on the right side of that line and the second digit goes on the left side. BUT YOU HAVE TO MAKE SURE THE NUMBERS ARE IN CHRONOLOGICAL ORDER!!!

Also, like the doc said SINGLE DIGIT NUMBERS ARE TO BE WRITTEN LIKE THIS (example): 0|3, which would equal 3.

SO. Step number one: put the numbers in order from least to greatest.

Step number two: put them on the stem and leaf plot. THIS WOULD BE YOUR ANSWER:

0|2                  = 2

0|3                   =3

0|4             =4

0|5                  =5

0|9                =9

1|0                 =10

1|2                  =12

1|5                   =15

1|5           =15

1|8                   =18

2|0                   =20

2|2              =22

3|5                   =35

3|8                   =38

4|1            =41

0.75x+4x-5 step by step

Answers

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

this is how

Step-by-step explanation:

gusto ko lang magka points

put this numbers from greatest to least

0.2734, 23.74, 0.0347, 0.43,0.0043​

Answers

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

0.0043
0.0347
0.2734
0.43
23.74

There are ten bird baths in a park. On the first day of​ spring, the bird baths are filled. Several weeks​ later, the overall change in the water level is found. The results are shown in the table. What is the range of the​ data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2

Answers

Answer:

4.5

Step-by-step explanation:

The range of the​ given data would be 5.1  which is determined by the difference between the maximum value and the minimum value of data.

What is the range of data?

The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.

The given results data are as:

{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }

To determine the range of the​ data, we have to find the maximum value of the data and the minimum value of the data.

As per the given results,

The maximum value of data = 2.7

The minimum value of data = -2.4

So the range of the​ data would be:

⇒ the maximum value of the data - the minimum value of the data.

⇒ 2.7 - (-2.4)

⇒ 2.7 + 2.4

Apply the addition operation, and we get

⇒ 5.1

Therefore, the range of the​ given data would be 5.1.

Learn more about the range of data here:

brainly.com/question/11647487

#SPJ2

Frederick is training for a triathlon and wants to focus on swimming this week. He can swim 25 yards in 23 seconds. He set up a proportion to determine how long it would take him to swim 175 yards at this rate. Which proportions can be used to determine how long it would take him to swim 175 yards?

Answers

Answer:

161secs

Step-by-step explanation:

If Frederick can swim 25 yards in 23 seconds, then:

25 yards = 23 seconds

To determine how long it will take him to swim 175yards, we will say:

175 yards = x

Equating both expression:

25 yards = 23 seconds

175 yards = x

Cross multiply

25x = 23*175

25x = 4025

Divide both sides by 25

25x/25 = 4025/25

x = 161 secs

This means that it will take Frederick 161 secs to swim 175 yards

Other Questions
20 PIONTS what does Not able to trade freely mean TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile? Is Mr. Martin a hero? xplain why or why not. Tenant farmers worked for a lord and paid rent to him. *TrueFalse What happens at the Pacific Ring of Fire? What is the next fraction in this sequence? Simplify your answer. 3/20 , 3 /10 , 9 /20, 3/ 5 , ___ . List all subsets of the given set.B = {Lennon, McCartney}O {}, {Lennon}, {McCartney}O {}, {Lennon}, {McCartney}, {Lennon, McCartney}{}, {McCartney}, {Lennon, McCartney}{ }, {Lennon}, {Lennon, McCartney}{Lennon}, {McCartney}, {Lennon, McCartney}please help! How does Rainsford and Whitney differ in their feelings about animals? You have 23.8 feet of string that you need to cut into 3.4 feet sections. How many sections ofstring will you be able to make? why was Mesopotamia an ideal place for a civillization to develop? Combine Like Terms. -13x + 14a - 12x + 7x - 4x * Brittany graphs the point (6,3) on a coordinate grid, which describes where she should plot the point of she starts at the origin?A) 6 units to the left and 3 units upB) 6 units up and 3 units to the leftC) 6 units to the right and 3 units upD) 6 units up and 3 units to the right A scientist who conducted an experiment obtained an unexpected result. What will she most likely do with the unexpected result? leave it out of her analysis and final report stop the experiment and begin again change the procedures and try again develop a new question to be investigated If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, square is ________ circle . Please help me with this problem and explain So the first numbers are the altitudes, and the other ones are the latitude/longitude.I'm having trouble with determining which class airspace (A,C,D,E,F,G) they each belong to. Any help? Btw, These are found on sectional charts and it's specifically for private pilot.8. 2500 N2918/W80409. 1100 N2918/W8040'10. 1000 N2849/W812111. 1800 N2849/W812112. 600 N2850/W814913. 800 N2850/W814914. 12500 N2850/W814915. 1000 N2941/W821616. 3000 N2941/W821617. 15500 N2941/W821618. FL190 N2941/W821619. 500 N2920/W810520. 1500 N2920/W810521. 500 N3132/W823222. 500 N3124/W821823. 500 N2816/W811224. 1500 N2816/W811225. 2500 N2816/W811226. 9500 N2816/W811227. 10500 N2816/W811228. FL 280 N2816/W8112 1.A partir de las imgenes de Pablo Picasso y de Salvador Dal, crees que sus pinturas estn relacionadas con los sucesos histricos de la Espaa contempornea? Por qu? solve this equation 6x+13=9x-8 1.Find the product of 419 and 321. Solve for y.24=8/3ySimplify your answer as much as possible.