Question

Given: Line PB tangent
Line PV, Line PU Secants

If m Arch VU = 70° and m Arch ST = 30°, then m Angle 2 =

a) 20
b) 35
c) 50

Answer 1

https://suwannee.owschools.com/media/g_geo_2013/7/group180.gif

Answer 2

The answer I got wrong was 35

Answer 3

average of the two arcs

Answer 4

So, add them together and divide by two?

Answer 5

yes

Answer 6

Okay sorry it took so long

Answer 7

I was Driving off a stalker

Answer 8

I don't think you wanna' know what he said to me either

Answer 9

:(

Answer 10

I'm not worried or anything. Just annoyed

Answer 11

@phi

Answer 12

Report them if it happens again

Answer 13

I will

Answer 14

Don't worry

Answer 15

Oh and btw, there is another question that applies to the same picture

Answer 16

@phi

Answer 17

if it asks for angle 1, that is 1/2 the difference of the two arcs i.e. (big - small)/2

Answer 18

If m Angle 1 = 30° and m Arch ST = 20°, then m Arch VU =

a) 10
b) 40
c) 80

Answer 19

\[ \frac{VU- ST}{2} = Angle 1\]

Answer 20

fill in what you know, then use algebra to "solve for VU"
can you do that ?

Answer 21

Hmmm. Let me think for a sec

Answer 22

in the formula, replace ST with 20 and angle 1 with 30

Answer 23

\[ \frac{VU- 20}{2} = 30 \]
I would start by multiplying both sides by 2

Answer 24

Yeah, I'm writing it down

Answer 25

Oh and thanks. That helps

Answer 26

I was thinking about doing that, but then I started to second guess myself

Answer 27

So VU-40= 60?

Answer 28

VU=100?

Answer 29

you do this
\[2\cdot \frac{(VU- 20)}{2} = 30 \cdot 2\]
you can think of the left side as multiplying fraction times fraction
(top times top and bottom times bottom)
\[ \frac{2}{1} \cdot \frac{(VU- 20)}{2} = 30 \cdot 2\]

\[\frac{2(VU- 20)}{2} = 30 \cdot 2\]
or
\[ \frac{2}{2} \frac{(VU- 20)}{1} = 30 \cdot 2\]

Answer 30

in other words you should get
VU -20 = 60

Answer 31

Okay. So you don't multiply 20 by 2?

Answer 32

I'm guessing that's where I messed up

Answer 33

remember to how to add or subtract fractions:
\[ \frac{VU}{2} - \frac{20}{2} = \frac{VU-20}{2} \]
you can do it the other way round:
\[ \frac{VU-20}{2}= \frac{VU}{2} - \frac{20}{2} \]
and simplify 20/2 to 10
\[ \frac{VU}{2} - 10 = 30 \]
now add 10 to both sides
\[ \frac{VU}{2} - 10 +10 = 30+10 \\ \frac{VU}{2} = 40
\]

Answer 34

So VU= 80

Answer 35

yes.

Answer 36

Alright I understand it now

Answer 37

I guess you have to get the idea that
\[ \frac{complicated\ stuff}{2} \cdot 2 = complicated\ stuff \]

Answer 38

Hehehe. Lol!

Answer 39

wow

Answer 40

I'm gonna' be quoting that for awhile

Answer 41

Thanks!

Answer 42

yw