In parallelogram DEFG DH=x+2 HF=2y GH=3x-3 and HE=5y+1. Find the values of x and y.
Answers
Answer:
y = 10 and x =18
Step-by-step explanation:
From the parallelogram,
DH + HF = DF
x+2 + 2y = DF
Also DH = HF
x+2 = 2y
x - 2y = -2 .... 1
Also GH = HE
3x-3 = 5y+1
3x - 5y = 1 + 3
3x-5y = 4 .... 2
Solve 1 and 2 simultaneously
x - 2y = -2 .... 1 * 3
3x-5y = 4 .... 2 * 1
_____________
3x-6y = -6
3x-5y = 4
Subtract
-6y + 5y = -6-4
-y = -10
y = 10
Substitute y = 10 into 1
x- 2y = -2
x - 2(10) = -2
x - 20 = -2
x = -2+20
x = 18
Hence y = 10 and x =18
Related Questions
how do i find a slope
Answers
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points
Answer:
To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m
To find the slope in two points (x1,y1) (x2,y2) follow this formula
y2-y1/x2-x1
For example: Find the slope of (4,9) and (9,19)
19-9/9-4 Which is 10/5 simplify: 2
The slope is 2
Step-by-step explanation:
Please help, I would appreciate it thank you :)
Answers
Answer:
HERE IS YOUR ANSWER FRIEND,HOPE IT HELPED YOU,PLEASE MARK ME AS BRAINLISTcan someone help meeee
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Find ratio of 14 and 35
Answers
Answer:
40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
someone actually help please!!! how much is 7/9 of -3/14
Answers
Answer:-0.16666666666
Step-by-step explanation:
How to find the constant rate of proportionality
Answers
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Simplify each expression by combining like terms
a). x + 2x
b). 3m + 4n - 6n
Answers
Answer:
1) 3x
2) 3m - 2n
Answer:
below
Step-by-step explanation:
3x, 3 m − 2 n
A car can cover a distance of 522 km on 36 litres of diesel.How for can it travel with 14 litres of diesel?
Answers
Answer:
I attached a pic
Step-by-step explanation:
Hope it helps you!!!
what do girls do that turn u on? guys i need help pls, i’m a girl loll ;)
Answers
Answer:
that depends tbh
Answer: umm well... i answer for the council of boys and your answer is basically anything XD
Step-by-step explanation:
have a good day lad :)
What is the inscribed angle and the circumscribed angle
Answers
An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
One angle is 26 degrees and the other is 64 degrees.
Step-by-step explanation:
Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:
90 = (x-38) + (x)
52 = 2x
26 = x
This means that one of the angles is 26 degrees, and the other is 64 degrees.
help
I'm really stuck
HELP IM BAD AT MATH
Answers
Answer:
B. Yes
Step-by-step explanation:
Can someone help me pls ♀️
Answers
Answer: 420, 81, 270, 216, 264, 154, 1824, 11400, 26741
all in order 1-10
Step-by-step explanation:
I need help with this fast i apericiatte it
Answers
Answer:
13/12
Step-by-step explanation:
Answer:
12/13
Step-by-step explanation:
remember it's adj/hyp so it would be 36/39. When simplified it becomes 12/13.
I really need help please :))))))
Answers
Answer:
If there were 25% fewer sunny days this year, then the answer would be 75%. This is because there are(100-25)% of the sunny days this year compared to last year.
Let me know if this helps!
Hello can i please have help on this question thank you
Answers
Answer:
[tex] y = \frac {1}{2}x +2[/tex]
Step-by-step explanation:
Line is passing through the points (0, 2) & (2, 3)
Slope of line = (3 - 2)/(2 - 0) = 1/2
Equation of line in point slope form is given as:
y - 2 = 1/2(x - 0)
2(y - 2) = x
2y - 4 = x
2y = x + 4
[tex] y = \frac {1}{2}x +\frac {4}{2}[/tex]
[tex] y = \frac {1}{2}x +2[/tex]
is the required equation of blue line.
Answer:
2y-4 =x
Rearranged as:
2y = x + 4
x = 2y - 4
y = x/2 +4
Attachment given below:
PLEASE HELP PLESAE!!!!!!
Evaluate the expression when b=6 and y =-7
-b+9y
Answers
Answer:
-69
Step-by-step explanation:
f (x) = 13[tex]\sqrt[3]{x}[/tex] power function yes or no
if yes where is k and p
Answers
Answer:
f =
x = 13 = x
k = x
p = x
Step-by-step explanation:
if cos theta + sin theta = root 2 cos thetha prove that cos theta - sin theta = root 2 sin theta
Answers
Answer:
We have:
If:
Cos(θ) + Sin(θ) = √2*cos(θ)
We want to prove that:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Well, let's start with the first relation:
Cos(θ) + Sin(θ) = √2*cos(θ)
Now we can subtract 2*Sin(θ) and we will get:
Cos(θ) + Sin(θ) - 2*Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Now, we also can rewrite the first equation as:
Cos(θ) + Sin(θ) = √2*cos(θ)
Cos(θ) - √2*cos(θ) = - Sin(θ)
Cos(θ)*( 1 - √2) = -Sin(θ)
Cos(θ) = -Sin(θ)/( 1 - √2) = Sin(θ)/(- 1 + √2)
We can replace this in the right side of theequation:
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2* Sin(θ)/(- 1 + √2) - 2*sin(θ)
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
Now we have this:
√2/(- 1 + √2)) - 2 = a
if we multiply all by (-1 + √2) we get:
√2 - 2*(-1 + √2) = a*(-1 + √2)
√2 + 2 - 2*√2 = a*(-1 + √2)
2 - √2 = a*(-1 + √2)
√2*(√2 - 1) = a*(-1 + √2)
√2*(√2 - 1)/(-1 + √2) = a
√2 = a
Then:
√2/(- 1 + √2)) - 2 = √2
If we replace this in the equation:
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
We get:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Which is the thing we wanted to get.
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?
2 + p
2p
p minus 2
StartFraction p Over 2 EndFraction
Please Help!
Answers
Answer:
2p should be the correct answer!
Answer:
2p is the answer
Step-by-step explanation:
I took the answer edg2021
Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. What is his true balance?
$414.25
$408.35
$48.32
$365.93
Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. Orlando should:
Keep the adjusted checkbook balance.
Write the true balance in his checkbook.
Write the balance from the bank statement in his checkbook.
Answers
Answer:
$365.93
$368.26
Step-by-step explanation:
The true balance :
Statement balance - outstanding cheques
Statement balance = 414.25
Outstanding cheques = 26.54 and 21.76
414.25−26.54−21.78 = 365.93
Adjusted Chequebook balance
Chequebioknvakance will en adjyat d for service charge :
Chequebook balance - service charge
$374.16 - $5.90 = $368.26
For the following expression, combine like terms and write an equivalent expression with fewer terms.
3x+5x−1
Answers
Answer:
8x - 1
Step-by-step explanation:
3x +5x - 1
8x - 1
This is correct
Answer:
8x-1
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
3x+5x−1 =
(3x+5x)-1 =
8x-1
can somebody help? marking brainliest:)
Answers
Answer:
23/16
Step-by-step explanation:
23/16+1/16=24/16=3/2
What is 9+10 ( is it 21 or 19 )
Answers
Answer:
19 is your answer right answer
Answer:
19
Step-by-step explanation:
9+10= 19
hope it helps
:p
Hi! Is there anyone good with finding the surface area of something? If so, please comment. If you do help me, I will give you 5 star every time you help.
Answers
God bless you
For an angle with measure x in a right triangle, sin x = 112/113
and tan x = 112/15. What is the value of cos x?
Answers
Answer:
cosx=Adj/hyp
cosx=15/113
help me plzzz plzzz help me
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Answer:
sepa pero suerte no hablo ingles
simplify
(3 − 6n5 − 8n4) − (−6n4 − 3n − 8n5)
Answers
Answer:
Simplify the expression.
2n⁵−2n⁴+3n+3
students plan to decorate the schools flagpole with strings of lights. one end of each string of lights will be attached to the top of the flagpole, and the other end will be attached to the ground.
which measurement is closest to the length of one string of lights in feet?
Answers
Answer: D
Step-by-step explanation:
♡ The Question/Task ♡
-What is the mean absolute deviation of her quiz scores?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be, 17!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
height (inches) 8 2 02 0.4 0.6 0.8 time (seconds) The graph represents the height of a frog's jump as a function of time. What is the average rate of change across the interval 0.4x
Answers
Answer:
x-2y = 8
-2y = -x + 8
y = x/2 - 4
y intercept: (0, -4)
slope: 1/2
3x-2y = 12
-2y = -3x + 12
y = 3x/2 - 6
y intercept: (0, -6)
slope: 3/2
I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!!
Step-by-step explanation: