Question

Plz help !!

Answer 1

.
..

Answer 2

3 minus 20 is 17....

Answer 3

Hey Selena :)
Notice that figures DEF and GHJ are identical, just in different locations.
So angle E and angle H are the same.

(x+15) = (3x-20)

Solve for x.

Answer 4

@zepdrix my equation would be x+15+3x-20 +180 ??

Answer 5

No need to include 180,
we're not doing anything with ALL of the angles.

The size of angle E is (x+15)
The size of angle H is (3x-20)

E and H have the same angle measure since the figures are congruent,
so we just set those angle measures equal to one another,
x+15 = 3x-20

solve for x.

Get that 180 out of there :) lol

Answer 6

\(\large\rm x+15=3x-20\)
What would be a good first step?
Get all the x's on one side maybe?

Answer 7

kk I'll solve for x now

Answer 8

First I'll subtract 15 from 15 and then from 20

Answer 9

Sure, whatever works for you :)

In this type of problem, I would recommend moving the x's first,
and moving the smaller x, so you don't end up with a negative amount of x's.
So my first step would be subtracting x from each side.
Both methods are fine though

Answer 10

Now, I have x = 3x + 35

Answer 11

@zepdrix

Answer 12

Woops, you subtracted 15 from -20,
so you actually should have
x = 3x - 35


Ok I guess we need to get all the x's on the same side now.
We'll have to move the 3x since it's with some other stuff.

Answer 13

Subtract 3x from each side as a next step.

Answer 14

kk

Answer 15

Now, I have -2=35

Answer 16

If you have x and you take away 3x from that,
you end up with -2x, not just -2.

Imagine that the x is a "thing", like an apple.
If you have 1apple and you subtract 3apples, you end up with -2apples,
not just -2, that doesn't make sense, you were counting a thing.

And you also dropped the negative that was on the 35,
gotta keep track of these things!! :O

-2x = -35

Answer 17

Moving the x's first would've made this problem a lot easier :(
But we're almost done anyway :)

Answer 18

OMG I just noticed the fact that I made an error

Answer 19

You have a -2 which is `multiplying` your x,
to get your x alone, you do the inverse of that operation being applied to x,
so we'll `divide` both sides by -2, ya?

Answer 20

Yeah, I'll do that right now

Answer 21

@zepdrix I got 17.5 as my final answer

Answer 22

Ok great, that's not our final answer though.
That is the value of x.

They want to know the measure of angle H.
H = 3x-20

and we've so far determined that x=17.5

Answer 23

@zepdrix so the next step would be to ?

Answer 24

Plug in your x value :p

Answer 25

\[\large\rm \color{orangered}{x=17.5}\]\[\large\rm \angle H=3\color{orangered}{x}-20\]\[\large\rm \angle H=?\]

Answer 26

32.5 ?

Answer 27

Yes good job :)
Sorry I ran off lol

Answer 28

It's okay really appreciated your help though XD !!!