Question

Help pls, can someone help me learn how to do these?

Answer 1

.?

Answer 2

look for longitude and wavelength and youll find answer :)

Answer 3

idk what wavelength is

Answer 4

distance bettween lines

Answer 5

when two lines intersect how are opposite angles ?

Answer 6

@AZ

Answer 7

I am so confused

Answer 8

dont be well help

Answer 9

ok

Answer 10

like how do I find the value of x?

Answer 11

ok when two lines intersect the opposite angles are congruent so in this way what can you write ?

Answer 12

here an equation is y=mx+b

Answer 13

your slope and formula

Answer 14

not necessary
please dont interfere

Answer 15

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9
not necessary
please dont interfere
\(\color{#0cbb34}{\text{End of Quote}}\)
ok sir

Answer 16

i am lost

Answer 17

how do i find the value of x in <FSM (7x + 8 degrees) ?

Answer 18

ok look pls on angles

angle WSU and angle FSM

are these angles opposite angles ?

so then take them equal and calcule x value

Answer 19

5x +32 = 7x +8

find x

Answer 20

my brain is dead, im so dumb rn sorry i cant

Answer 21

Jhonyy logged off since it's getting late where he lives and asked that I take over :)

Answer 22

oh ok

Answer 23

What you need to know about vertical angles is that they're congruent- that means they equal each other

So you see this image
The angles opposite each other are equal to each other

Answer 24

That's how Jhonyy was able to get
5x +32 = 7x +8

Answer 25

do they equal 180?

Answer 26

No, if they were on the same line like angle a and b, then it would add up to 180

Answer 27

but when they're opposite each other, it means that the two angles equal each other

So just as an EXAMPLE

Answer 28

if we knew one of those angles was 100, then we would know that the angle OPPOSITE it is also 100

we also know that those two other angles we didn't list are equal to each other and all 4 angles added up together makes 360 degrees

Answer 29

my brain is about to explode

Answer 30

this makes no sense

Answer 31

which part doesn't make sense?

do you agree that the angles opposite each other are equal to each other

Answer 32

yes i agree, its the finding x part tho

Answer 33

okay since they're equal to each other, we can come up with

5x +32 = 7x +8

now to solve for x, we just have to get it all by itself

Answer 34

so let's subtract 5x on both sides first

what is 7x - 5x =

Answer 35

2x?

Answer 36

Good! So now we have

5x +32 = 7x +8

5x + 32 -5x = 7x + 8 -5x

on the left side of the equal sign, the 5x cancels out and on the right side, you said that 7x-5x = 2x

so we get

32 = 2x + 8

now subtract 8 on both sides

what is 32 - 8 = ?

Answer 37

24

Answer 38

good, now we have

24 = 2x

now we have to divide 2 on both sides

24/2 =

Answer 39

12

Answer 40

so that's the value of 'x'

but your question wants us to take this number and plug it into either one of the angles and find out what the value of the angle is

remember how we said that both angles are equal to each other?
so that means, it doesn't matter which angle we choose to plug in 12

Answer 41

so angle FSM is 7x + 8

what is 7*12 =

and then add 8

Answer 42

so the answer is B correct?

Answer 43

That's your answer!

Answer 44

Thank you!

Answer 45

You're welcome!