Question

In a a parallelogram DEFG, DH=y+3, HF=2x+1, GH=2y-1, and HE=x+4 what are values of y and x

Answer 1

I'll give medal!!

Answer 2

Hi
Welcome To Openstudy :-)
Any ideas on where to start?

Answer 3

No:(

Answer 4

It's alright ^_^
Ok so we can say H is the center of both parallelogram diagonals

Answer 5

Yes

Answer 6

ok so we have this:
DH = HF
\[\huge~\rm~y+3=2x+1\]
isolate y

Answer 7

X=y/2+1?

Answer 8

Yes we can also write it as
x=1/2y+1 <---leave it as this for right now
Next we know the GH=HE
So...
\[\huge~\rm~ 2y-1=x-4\]
isolate the y

Answer 9

Y=x/2-3/2

Answer 10

I think x =3 and y =4

Answer 11

Wait no

Answer 12

sorry isolate the 2nd equation for x

Answer 13

not y

Answer 14

X=2y+3

Answer 15

Good now we have 2 equations
x=1/2y+1
X=2y+3
Now we use substitution form here think you can do it? :)

Answer 16

Wait what are your answer choices?

Answer 17

X=14 and y=11, x=3 and y = 4, and x=7 and y. =4, x=1 and y =. 11

Answer 18

This?

Answer 19

Not the same question

Answer 20

Ok anyways...
Good now we have 2 equations
x=1/2y+1
X=2y+3
Now we use substitution form here think you can do it? :)

Answer 21

We isolated wrong
y+3=2x+1 <---this is what we are supposed to have

Answer 22

x=2y-5
and
x=(y+2)/2
would be our 2 equations

Answer 23

Oh yeah

Answer 24

Now try solving :)

Answer 25

X = 3 and y=4

Answer 26

Can you show me how you got that?

Answer 27

I substituted, 3=2(4)-5 and 3=4+2/2

Answer 28

nice :)

Answer 29

Perfect :)

Answer 30

Good job ^_^
\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

Answer 31

Thanks ! Happy holidays

Answer 32

Same to you! :D
and yw ^_^