Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)

Answers

Answer 1

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]

In triangle ABC:

[tex]|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}[/tex]

In triangle MNO:

[tex]|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }[/tex]

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

[tex]|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8[/tex]

Hence O = (4, 8)


Related Questions

Meg is printing a term paper for class at the rate shown in the table below. If the term paper is 60 pages long, how many total minutes will it take to print out? Assume that the printer prints the pages at a constant rate. Meg’s Term Paper Printing Progress Time (minutes) 3 4 5 6 7 Pages Printed 7.5 10 12.5 15 17.5 20 minutes 24 minutes 150 minutes 180 minutes

Answers

Answer:

its B.) 24 minutes

Step-by-step explanation:

i just took the test on edge.

Answer:

24

Step-by-step explanation:

Mr. Floyd, the school librarian, is ordering new keyboards and mice for all of the school's computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3 computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Floyd will spend on new keyboards and mice.

Answers

Answer:

13.50 + 6.50 x ( 3 x s) =

Step-by-step explanation:

I don't know what the options are, however that is how I would write it.

Which equation represents the rectangular form of r = 8?

Answers

Answer:

x^2 + y^2 = 64

Step-by-step explanation:

EDGE 2020

The equation that represents the rectangular form of r = 8 is x² + y² = 64

What is rectangular form?

Rectangular form, is where a complex number is denoted by its respective horizontal and vertical components.

According to the given problem,

x=rcosθ

y=rsinθ

substituting we have

x=8cosθ

y=8sinθ

Squaring and adding we obtain the

circle's origin centered equation,

x² + y² = 64

Hence, we can conclude, the equation x² + y² = 64, represents the rectangular form of r = 8.

Learn more about rectangular form here:

https://brainly.com/question/11740879

#SPJ2

4(x - 2) = 2(x – 4) + 2x

Step by step explanation please

Answers

4
(
x

2
)
=
2
(
x

4
)
+
2
x
Step 1: Simplify both sides of the equation.
4
(
x

2
)
=
2
(
x

4
)
+
2
x
(
4
)
(
x
)
+
(
4
)
(

2
)
=
(
2
)
(
x
)
+
(
2
)
(

4
)
+
2
x
(Distribute)
4
x
+

8
=
2
x
+

8
+
2
x
4
x

8
=
(
2
x
+
2
x
)
+
(

8
)
(Combine Like Terms)
4
x

8
=
4
x
+

8
4
x

8
=
4
x

8
Step 2: Subtract 4x from both sides.
4
x

8

4
x
=
4
x

8

4
x

8
=

8
Step 3: Add 8 to both sides.

8
+
8
=

8
+
8
0
=
0

Diego has 150% as much as Noah. How much does Diego have? Noah has five dollars.

Answers

Answer:

7.5

Step-by-step explanation:

Because Noah has five dollars, 100% of 5 is 5, and 50% of 5 is 2.5 so Diego has 7.5 dollars.

PLS I NEED HELP WITH MATH HOMEWORK
FIND THE VALUE OF THE VARIBLE

Answers

Answer:

n=46

Step-by-step explanation:

Since this is a right triangle, you are left with 90 degrees

2n-2=90

2n=92

n=46

ILL MARK BRAINLIST !!

Answers

Answer:

-x^2+9x-3

Step-by-step explanation:

-x^2=9x3 i think... i might be wrong but happy holidays

Find the value of x!!!!

Answers

112 degrees brother
112 degrees friend your welcome

What is 17/10 as a percent

Answers

Answer:

.017 is your answer!

17/10 as a decimal is 1.7 and that as a percentage is .017

Step-by-step explanation:

hope this helps!

Answer:

170%

Step-by-step explanation:

The answer is 170% because 17/10 is the same thing as 1.7 and 1.7 as a percent is 170%

P.S Can I have brainliest?

15 points! Will give BRAINLIEST! Please help!

Answers

Answer:

a. 1.2

Step-by-step explanation:

b. 0.4

Each pair of figures is similar. Find the missing length. Round to the nearest tenth where necessary. ​

Answers

Answer:

x=5 and n=36

Step-by-step explanation:

For the first question: 32/8 = 4/1

4/1 = 20/x

4x = 20

x = 5

For the second question: 63/81 = 21/27

21/27 = 28/x

21x = 756

x = 36

Jay already has a 12-foot wood plank that can be cut into smaller pieces.
How many more feet of wood planks must he buy?
feet

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

tell me if I'm wrong

PLEASE ANSWER THIS QUESTION RIGHT AND THE ANSWER CHOICES ARE IN THE TOP Elize is scuba diving in plans to leisurely Ascend to the surface. Her depth in feet D(t) and her time in minutes T to reach the surface are Represented by the table below. What is an appropriate domain for the situation?

Answers

Using it's concept, it is found that an appropriate domain for this situation is:

[tex]0 \leq t \leq 10[/tex], where t represents the set of rational numbers.

The domain of a function is the set that contains all possible input values.

In this problem:

The input is the time in seconds, and the output is her depth, in feet.The time assumes rational values between 0 and 10, hence, the domain is [tex]0 \leq t \leq 10[/tex], and the correct option is:

[tex]0 \leq t \leq 10[/tex], where t represents the set of rational numbers.

You can learn more about domain at https://brainly.com/question/24374080

PLEASE HELPPPPPPP!!! WILL GIVE BRAINLIEST :)
Which of the following shows the correct steps to find the value of 16 to the power of 1 over 4 ? (1 point)

16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2

16 to the power of 1 over 4 equals 4 to the power of 4 to the power of 1 over 4 equals 4 to the power of 4 multiplied by 1 over 4 equals 4

16 to the power of 1 over 4 equals 2 to the power of 8 to the power of 1 over 4 equals 8 to the power of 8 multiplied by 1 over 4 equals 4

16 to the power of 1 over 4 equals 8 to the power of 2 to the power of 1 over 4 equals 2 to the power of 2 multiplied by 1 over 4 equals 8

Answers

Answer:

Give him brainliest

Step-by-step explanation:

Answer:

16 to the power of 1 over 4 equals 2 to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplied by 1 over 4 equals 2

Step-by-step explanation:

As part of your research for writing a short and funny story, choose a Dr. Seuss book. Write the title of the book, state that the author is Dr. Seuss, write the name of the publisher, and create a list of the invented words you liked from the book. Also, include the stanza (or verse) that you thought was the funniest.
Then write a funny story using words you have invented. Upload the Dr. Seuss research and the final draft of your story.

Answers

Answer:

this is what I put please put it in your own words

Step-by-step explanation:

1. The title: Oh, the Places You'll Go!

2. Author: Dr. Seuss

3. Publisher: RANDOM HOUSE NEW YORK

4. Some invented words used in the book that you particularly like. Lurches, Slumps, Brains.

5. What the funniest stanza (for verse) in the book is, in your opinion. You have brainss in your head

II. Warm-up

butterfly butterflyfling

bridge bridgeamabob

bill billblingflingaling

III. Type a short, funny story using invented words for as many things as you can.

One day I was riding my horse and then I see carrot kids playing in the pasture and I asked to join them and the said yes.

Answer: You can use this whole paragraph if you want. I don't mind c:

Step-by-step explanation:

I. Independent research: Look up any Dr. Seuss book in your library and type the following information.

The title: The Lorax

Author: Dr. Seuss

Publisher: Random House Children's Books

Truffula Seed

“I am the Lorax. I speak for the trees. I speak for the trees for the trees have no tongues.”

II. Warm-up

1. Mouse

2. House

3. Spouse

III. Type a short, funny story using invented words for as many things as you can.

I went to a house in the woods and it was owned by a bird and a lion. They fed me porridge with crackers then put me down to sleep.

(I don't know what else to put but I hope that's good enough.)

I hope this helps you!! <3

Please give me the answer to this it's due at 8:00​

Answers

Answer: 20

Step-by-step explanation:

Answer:

Each metal sheet costs 18 dolares per square foot

Step-by-step explanation:

7.6x−2.3x= $95.40

simplify

5.3x = $95.40

/5.3

x = 18

What is the initial value of the equation shown?

y = −7x − 6

Answers

Answer:

[tex]y = -6[/tex]

Step-by-step explanation:

Given

[tex]y = -7x-6[/tex]

Required

Determine the initial value

The initial value of any equation is the point where

[tex]x = 0[/tex]

Substitute 0 for x in [tex]y = -7x-6[/tex]

[tex]y = -7 * 0 - 6[/tex]

[tex]y=0-6[/tex]

[tex]y = -6[/tex]

Hence, the initia; value is -6

Answer:

the answer is -6 ( and or c )

Step-by-step explanation:

Sound waves entering an area of warmer air

Answers

Answer: Sound waves entering a warmer air means that the kinetic energy of the air particles will increase and thus the vibration of particles will be increased and thus the speed of transmission of sound waves increases.

Step-by-step explanation:

Speacial Right Triangles

Answers

Answer:

special right triangles

Step-by-step explanation:

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°.

hope it helps!

solve the equation 1.2x =5.16 for x.

Answers

x=4.3 do u need an explanation?

Answer:

4.3

Step-by-step explanation:

5.16 ÷ 1.2 = 4.3

You're welcome!

A bag contains 4 g r e e n marbles, 8 b l a c k marbles, and 7 b l u e marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a g r e e n marble and then a b l u e marble

Answers

Answer:

[tex]P(Green\ and\ Blue) = 0.0776[/tex]

Step-by-step explanation:

Given

[tex]Green = 4[/tex]

[tex]Black = 8[/tex]

[tex]Blue=7[/tex]

Required

Determine the probability of selecting green then blue marble

This probability is represented as:

[tex]P(Green\ and\ Blue)[/tex]

And it is calculated using:

[tex]P(Green\ and\ Blue) = P(Green) * P(Blue)[/tex]

[tex]P(Green\ and\ Blue) = \frac{n(Green)}{Total} * \frac{n(Blue)}{Total}[/tex]

Total marble is:

[tex]Total = 4 + 8 + 7[/tex]

[tex]Total = 19[/tex]

So, we have:

[tex]P(Green\ and\ Blue) = \frac{4}{19} * \frac{7}{19}[/tex]

[tex]P(Green\ and\ Blue) = \frac{4*7}{19*19}[/tex]

[tex]P(Green\ and\ Blue) = \frac{28}{361}[/tex]

[tex]P(Green\ and\ Blue) = 0.0776[/tex] -- approximated

Hence, the required probability is approximately 0.0776

What is the slope of the line through -2, one and two, -5 in the center of X, Y coordinate plane

Answers

Answer:

m = -3/2

Step-by-step explanation:

Points: (-2,1) and (2,-5)

Slope is change in y over change in x,

(-5-1)/(2-(-2)) = -6/4 = -3/2

Hope this helps!

What is an equation of the line that passes through the points (-6, 3) and (-6, -3)?

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

A plot of the points tells you one is above the other on the same vertical line. The equation for a vertical line is ...

  x = constant

In order for the line to go through points that have x-coordinates of -6, the constant must be -6. The equation of the line is ...

  x = -6

Write in simplest form. 2^9÷2^3 PLEASE HELP

Answers

Answer:

27

Step-by-step explanation:

2x9/2x3=27

The answers actually 64 because 2^9 is 512 and 2^3 is 8.Then divide the two.

Carl has 200 coins in a jar nickels make up 10%

Answers

Answer:

200×10%=220

Step-by-step explanation:

he would have 220 coins

can anyone help me thanks

Answers

Answer:

4 toppings

Step-by-step explanation:

Set the two equations equal

8 + 1.25x = 10+.75x

Subtract .75x from each side

8 + 1.25x-.75x = 10+.75x-.75x

8 + .5x = 10

Subtract 8 from each side

8-8 + .5x=10-8

.5x =2

Divide each side by .5

.5x/.5 = 2/.5

x = 4

6.5 x 10^6 an ordinary number

Answers

Answer:

HAPPY NEW YEAR

How did conditions differ between plantations in North America and the Caribbean?
A. Work conditions were harsher in the Caribbean, and plantations were much larger than those in North America.
B. Harsher weather reduced the survival rates for enslaved people in North America.
C. Only women were allowed to work in the sugar plantations of the Caribbean
D. Work conditions were harsher in North America, and plantations were much larger than those in the Caribbean

Answers

Answer:

A) Work conditions were harsher in the Caribbean, and plantations were much larger than those in North America.

Step-by-step explanation:

the pf text book states: " Slaves in the Caribbean had the worst working conditions. They were required to work on sugar plantations from sunrise to sundown. The conditions were so severe that the average lifespan of a slave in the Caribbean was only 23 years old. Slaves in North America fared a bit better, though working conditions were still harsh."

HELP ME PLZ

The lunch special at Rita's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 2 drinks, and 3 desserts to choose from. How many lunch
specials are possible?

Answers

There are only 2 possible specials (sorry if this was wrong it’s the only thing that makes sense to me)

if f(x)=15x-7 then f^-1(x)​

Answers

Hi!

So, we need to find the inverse of the function f(x) = 15x - 7.

To start, we must turn the f(x) into a y.

y = 15x - 7.

Now, we swap all the x variables for the y variables, and swap all the y variables for the x variables!

x = 15y - 7.

Now, we simply must work on isolating y. Assuming you know how to isolate a variable, we must do the steps below -

x = 15y - 7.

Add 7 on both sides.

x + 7 = 15y - 7 + 7.

We cannot add x and 7, as they are not like terms. So, they will remain like that, while the 7 on the right side of the equation is eliminated.

x + 7 = 15y.

Now we are going to divide both sides by 15, thus leaving y by itself.

= 15y / 15.

Since we cannot divide the left side of the equation by 15, it will remain as such. With the y variable completely isolated, our final inverse function will be:

= .

Hopefully, this helps! =)
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