Rectangle FGHJ has diagonals FH and JG that intersect at M. If FJ=−3x+5y, FM=3x+y, GH=11, and GM=13, find the values of x and y. Explain your answer.

Answers

Answer 1

Answer:

x=3 y=4

Step-by-step explanation:

   -3x + 5y = 11

+   3x + y = 13

Add the equation (add the 5y and y. Then add the 11 and 13). The threes cancel each other out. It then leaves us with the equation:

6y = 24

Divide both sides by 6 to isolate the variable.

y=4.

Then just substitute the variable into any of the equations above. (I chose the equation on top)

-3x + 5(4) = 11

Then solve

-3x + 20 = 11 (then subtract 20 from both sides)

-3x = -9 (then divide both sides by -3)

x=3


Related Questions

16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17

Answers

the answer is d . 17
The answer to this question is C

how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://

Answers

Answer:

use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.

Find the missing length

I WILL GIVE BRAINLIEST

Answers

Answer: 30

Step-by-step explanation: Assuming that the side lengths correspond with one another you can set up a ratio to solve

It should look something like this:   15/25 = 18/x

With this equation set up you can solve by cross multiplying. 25(18)=15x

Then start sloving:

25(18)=15x

450=15x

450/15=15x/15    (divide both sides by 15)

30=x

               

What is the measure of angle x? (Brainly + Bonus points for the best correct answer and explain)

Answers

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

please help. I need the answer to the question circled in red. thanks!!​

Answers

Answer:

35 units

Step-by-step explanation:

35 units I’m pretty sure

What is the slope of this line

Answers

Answer:

K=2

Step-by-step explanation:

I es Smrt

URGENT
Solve for x in the equation x squared minus 12 x + 36 = 90.
x = 6 plus-or-minus 3 StartRoot 10 EndRoot
x = 6 plus-or-minus 2 StartRoot 7 EndRoot
x = 12 plus-or-minus 3 StartRoot 22 EndRoot
x = 12 plus-or-minus 3 StartRoot 10 EndRoot

Answers

Answer:

It's A on edge

Step-by-step explanation:

Answer:

A.) x = 6 plus-or-minus 3 StartRoot 10 EndRoot

Step-by-step explanation:

bc im taking test :)

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

B. 1.828 meters

Step-by-step explanation:

Express 2.31 as a fraction

A. 231/1000

B. 2.31/10

C. 231/100

D. 2.31/1000​

Answers

the answer is 231/100 because the .31 is in the hundredths place

Answer:

C 231/100

Step-by-step explanation:

hope this helps :)

Mark wants to make an enclosure for his cows.
He has 44 metres of fencing.
He wants the width to be 8 metres less than the length.
What dimensions should the field have?
?

Answers

Answer:

the length and width be 15 meters and 7 meters respectively

Step-by-step explanation:

The computation of the dimension of the field is given below;

Let us assume the fencing be p

Length be x

And, the width be x - 8

So,

P = 44

P = x - 8 + x - 8 + x + x

= 4x - 16

Now

4x - 16 = 44

4x = 44 + 16

4x = 60

x = 15

And, the width be 15 - 8 = 7

So, the length and width be 15 meters and 7 meters respectively

A saving account earns 4.5 simple interest per year. If 650.00 is deposited and no withdrawals or deposits are made during one year how much interest will be earned after one year

Answers

Answer:

29.25 Interest

Step-by-step explanation:

Take the formula: I=PRT

The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.

Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

You will get 29.25, Which is the answer!

Booyah! You are done.

Hope this helps!

Help me plzzzz, thanks If you do

Answers

hope it's helpful ❤❤❤❤

THANK YOU.

Help please with this problem!

Answers

Answer: B.

Step-by-step explanation:

4x + 8y = 2(4y + 2x)

Answer:

B

Step-by-step explanation:

A. 4 (2x + y)

8x + 4y ( So not this! )

B. 2(4y + 2x)

8y + 4x ( This is right! )

C. 4(2x + 4y)

8x + 16y ( So not this! )

D. 8 (y + 2x)

8y + 16x ( So not this! )

Do you know the answer? LA = GY - D

Answers

Answer:

G = LA/Y + D/Y

Isolate the variable by dividing each side by factors that don't contain the variable.

Hoped this helped!

.....i dont know..............د

Write an expression showing the sum of 8 and a number .

Answers

Answer:

8+ n

Step-by-step explanation:

my answer got delete so dont think i coped the person who did was user content bot

state if polygons are similar

Answers

Answer:

B

Step-by-step explanation:

PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Answers

This should help ^-^
B: (1/2) exponent 5

That’s the answer I think

Need help with questions and will give brainest to good answers. Bad answers or jokes will be reported thanksssssss

Answers

Answer:

3, 10, -2/3

Step-by-step explanation:

I don't speak spanish, so I hope i did this right.

Problem 1

set equal to each other

2x+1=x+4

-4         -4

2x-3=x

-2x     -2x

-3=-x

times -1 to get a positive x

3=x

Problem 2

repeat steps

4x-5=3x+5

+5            +5

4x=3x+10

-3x    -3x

x=10

Problem 3

repeat steps

x=4x+2

-4x  -4x

-3x=2

divide

x=- 2/3

to find the y's, go back and plug in

Prob 1: y=(3+4) =7

Prob 2: y=[3(10)+5] =35

Prob 3: y=(-2/3) =-2/3

Answer:

1.)

y = 2x + 1

y = x + 4

Substitute

2x + 1 = x + 4

Subtract 1 on both sides

2x + 1 - 1 = x + 4 - 1

2x = x + 3

Subtract x on both sides

2x - x = x - x + 3

x = 3

Now that we have x we can use that for finding y

y = x + 4

y = 3 + 4

y = 7

x = 3

y = 4

( 3, 4 )

__________________________________________________________

2.)

y = 4x - 5

y = 3x + 5

Substitute

4x - 5 = 3x + 5

Add 5 on both sides

4x - 5 + 5 = 3x + 5 + 5

4x = 3x + 10

Subtract 3x on both sides

4x - 3x = 3x - 3x + 10

x = 10

Now that we have x, we can use that to find y

y = 3x + 5

y = 3 (10) + 5

y = 30 + 5

y = 35

x = 10

y = 35

( 10, 35)

__________________________________________________________

3.)

y = x

y = 4x + 2

Substitute

x = 4x + 2

Subtract 4x on both sides

x - 4x = 4x - 4x + 2

-3x = 2

Divide -3 on both sides to isolate the variable

-3x/-3 = 2/-3

x = -2/3

Now that we have that we can use it to find y

y = x

y = -2/3

x = -2/3

y = -2/3

( -2/3, -2/3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

i need the correct answer plzzzz

Answers

Answer:

12

Step-by-step explanation:

tangent opposite/adjacent. tan(29)=x/22. separate x, and you get 22tan(29), which is 12.

6
There are 2 rectangular windows in Ms.
Ridley's dining room. One window is 31 inches
wide and 32 inches tall. The other window is
27 inches wide and 32 inches tall. What is the
difference in the areas of the windows in Ms.
Ridley's dining room?
8 square inches
4 square inches
132 square inches
128 square inches

Answers

Answer:

128 square inches

Step-by-step explanation:

Window one's area is 31 times 32 which is 992 in^2

Window two's area is 27 times 32 which is 864 in^2

Subtract 992 from 864 to get the difference

How do I find the area of a circle of 5 inches

Answers

Answer:

Area =πr2  

Step-by-step explanation:

Hope this Helps

What is the slope the line that passes through the points (-1, 3) and (1, -7)?

a. -5
b. 0
c. 4
d. undefined

Answers

Answer:

-5 <3

Step-by-step explanation:

I got 2/-10 i think that’s undefined

hi pls help i’ll give brainliest if you give a correct answer

Answers

Answer:

0.47..................

Step-by-step explanation:

..........

To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent decrease for calorie intake?

Answers

Answer:

22%

Step-by-step explanation:

The change in calories = 1950 - 2500 = -550

percent decrease for calorie intake = (change in calories / initial calorie intake ) x 100

[tex]\frac{-550}{2500}[/tex]  X 100 = -22%

Answer:

22%

Step-by-step explanation:

i did the quiz

You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set? You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set?

Answers

Answer:

Original price = $49.98

Step-by-step explanation:

Target has it listed for $34.99 which is 70% of the original price.

Let the original price be x.

ATQ,

[tex]70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98[/tex]

So, the original price of the Lego set is $49.98.

Jason's bank account had $80 in it and he started to add $5 a week. Lillian started with $50 in her account and she is adding $8 a week. How many weeks will it take them to have the same amount of money in their accounts?

Answers

Answer:

The answer is 10$

Step-by-step explanation:

The person in with 80 dollars is 30 dollars ahead but the person with 50 dollars is adding 3 dollars more a week. 30/3=10

1 thanks for me=2 thanks for you

brainliest for me= 10 thanks for you

I WILL MARK BRAINLIEST!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

hope it helps thank you

Graph y-4=2x and identify
the slope and y-intercept.

Answers

Answer:

slope is 2 and y-intercept is (0, 4)

Step-by-step explanation:

Answer:

s- 2       y int- 4

Step-by-step explanation:

The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

Answers

Answer:

1778 cm

Step-by-step explanation:

estimate 60% of 52 (WITH WORK!)

Answers

Answer:

Step-by-step explanation:

52 is 100%

you divide 52 by 10 to get 10%

5.2*6(because 60%)

=31.2

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