Question

Complete the two column proof.

Given: m 11 years ago

Answer 1

@jim_thompson5910

Answer 2

going from

m<RST + m<UVW = 180

to

5x + 7x = 180


what changed?

Answer 3

Substitute?
@jim_thompson5910

Answer 4

yes, you substituted in m<RST = 5x and m<UVW = 7x

they are given

Answer 5

so that is essentially the reason they want

Answer 6

from there 5x+7x turns into 12x

you can say "addition" or "combine like terms" or something like that

Answer 7

So a. is given?

Answer 8

no

Answer 9

m<RST = 5x and m<UVW = 7x are given

Answer 10

you already said the reason for a)

starts with an s

Answer 11

So a. is substitution

Answer 12

yes

Answer 13

b. Addition Property of Equality?

Answer 14

nope, that property is the idea that if a = b, then a+c = b+c

Answer 15

example:

2x-3 = 5

2x-3+3 = 5+3 ... used the property here

2x = 6

Answer 16

basically adding the same number to both sides

Answer 17

b. Combine like terms

Answer 18

yeah that sounds good

Answer 19

okay what about c?

Answer 20

what's changing there

Answer 21

going from

12x = 180

to

x = 15

Answer 22

c. Division

Answer 23

there's more to it, but division is part of it

Answer 24

Division Property of Equality?

Answer 25

yes

Answer 26

if a = b, then a/c = b/c assuming c is nonzero

Answer 27

So thats c.?

Answer 28

I'm assuming you're in geometry class. This proof is simply a rigorous way to solve a problem you'd do back in algebra 1 or 2.

Answer 29

yeah

Answer 30

Can you help me with more?

Answer 31

sure, a few more

Answer 32

Triangle TIC is an isosceles triangle with vertex angle I. Find the measures of the base angles of Triangle TIC if m< I = 100.

a. 80
b. 50
c. 60
d. 40

Is it A?

Answer 33

the base angles of any isosceles triangle are always congruent

they are both x for now

Answer 34

Oh its 40...

Answer 35

all 3 angles of ANY triangle add to 180 degrees

x+x+100 = 180

Answer 36

yeah if you solved x+x+100 = 180, you'd get x = 40

Answer 37

so if in doubt, draw a picture

Answer 38

Find the length of a diagonal of a rectangle ABCD with vertices A (-3, 1), B (-1, 3), C(3, -1), and D(1, -3)

a. 5.7
b. 6.3
c. 3.2
d. 4.5

Answer 39

the diagonals are the segments AC and BD

Answer 40

to find the length of AC, you find the distance from A to C

so you use the distance formula

\[\Large d = \sqrt{\left(x_{2}-x_{1}\right)^2+\left(y_{2}-y_{1}\right)^2}\]

Answer 41

what do you get?

Answer 42

I got D @jim_thompson5910
Sorry I went to go do something

Answer 43

its ok, I had to step away also

Answer 44

what did you get before you took the square root?

Answer 45

20.25

Answer 46

that's incorrect

Answer 47

Find the distance from A to C to get:

\[\Large d = \sqrt{\left(x_{2}-x_{1}\right)^2+\left(y_{2}-y_{1}\right)^2}\]

\[\Large d = \sqrt{\left(-3-3\right)^2+\left(1-(-1)\right)^2}\]

\[\Large d = \sqrt{\left(-6\right)^2+\left(2\right)^2}\]

\[\Large d = \sqrt{36+4}\]

\[\Large d = \sqrt{40}\]

\[\Large d \approx 6.32\]

Answer 48

Oh. I feel so dumb... ugh

Answer 49

I wanted you to clarify some stuff with me is that okay?

Answer 50

which part did you make a mistake at?

Answer 51

The first.. I didnt type it in right

Answer 52

so you see how I got

A = (x1,y1) = (-3, 1)
C = (x2,y2) = (3, -1)

or no?

Answer 53

Yes. thank you

Answer 54

I need help with some clarify some other questions too...
Someone was helping me and got me all confused

Answer 55

whats that

Answer 56

State the property that justifies the statement:
If 3x = 6, then x = 2

a. Subtraction Property of Equality
b. Addition Property of Equality
c. Division Property of Equality
d. Multiplication Property of Equality



Given that AD and BC are parallel, find the value of x.
a. 15
b. 5
c. 12.5
d. 17.5

Answer 57

The first one they said is C... but how is that? Its multiplying...

Answer 58

The second one they said is a ... I have no idea how they got that

Answer 59

If 3x = 6, then x = 2

so you do what to both sides?

Answer 60

Divide...

Answer 61

yes you divide both sides by _____

Answer 62

2...

Answer 63

Ohhh okay. Gosh I feel mean.. haha

Answer 64

the ultimate goal is to go from 3x to just x