Question

Vocaloid

Answer 1

good, that looks correct to me

Answer 2

this problem stinks b/c EFG isn't a triangle on the diagram but I will assume they meant EFD

Answer 3

Okay

Answer 4

ok I'm going to say that JKL and SRQ are not congruent

everything else looks alright

Answer 5

Okay thank you, I'll post the next one

Answer 6

yikes I've never really learned how to do this in my own classes so I will try and find something on the internet

Answer 7

Okay, thank you.

Answer 8

https://www.mathopenref.com/constinhexagon.html

Answer 9

so I believe the order you have posted is correct

Answer 10

Okay, awesome. I'll post the next one

Answer 11

yeah I got 18 too well done

Answer 12

Thank you :)

Answer 13

I don't think that's right, try re-applying the slope formula

(y2-y1)/(x2-x1)

Answer 14

Okay

Answer 15

Perpendicular means 90 degrees right?

Answer 16

yes (just find the slope of the original line first, accounting for perpendicularity is easy)

Answer 17

Okay I'll try it

Answer 18

7/6 is the slope of the original line. Is that right?

Answer 19

good

now the perpendicular slope, we just flip the num and denominator then stick a negative sign in front

so -6/7 = your answer

Answer 20

oh really? its that easy. thank you, I'll post the next one

Answer 21

good

Answer 22

yup

Answer 23

yup

Answer 24

to get from step 5 to 6 you subtract m<3 from both sides so it would be subtraction property of equality

otherwise a.o.k

Answer 25

I believe "open up the compass to length JK" needs to be step 2, right after drawing M

everything else looks good

Answer 26

Okay thanks

Answer 27

should be "keep the compass opening + place the compass on F...etc." first choice since the original arcs must intersect the new arcs

https://www.mathsisfun.com/geometry/construct-linebisect.html

Answer 28

Okay

Answer 29

the compass needs to be placed on G and then opened up all the way to H so the sides are all equal (choice C)

sorry if my explanations on these construction problems are bad, I try not to give direct answers but I've never really learned these before so it's hard for me to explain ;_;

Answer 30

I totally get it, I don't understand most of this stuff. I don't know why but no matter how much I pay attention it just won't stick. I really appreciate all your help.

Answer 31

shorter side is one third the length of the longer side

if the longer side is 3a then the short side is just a

Answer 32

so just (0,a) = your answer

Answer 33

Okay, thank you.

Answer 34

yup good

Answer 35

they're congruent, and A'B'C'D' compared to ABCD is moved to the left 7 units making answer 2 the only possibility

Answer 36

**** sorry answer 3

Answer 37

thank you, would you mind helping me with a 3 question worksheet real quick please?

Answer 38

sure

Answer 39

thank you

Answer 40

I am not sure how well I can explain a) but I will try ;_;

since all the points are given rigid transformations, the relative y- and x- distances between corresponding points of line s and r are the same, making the slopes equal

something like that ;;

Answer 41

Okay, let me try this.

Answer 42

for b) and c) you will just apply the slope formula (y2-y1)/(x2-x1) except using the variables from the points on lines r and s instead of numbers

Answer 43

Okay, is there any way you could walk me through b and c

Answer 44

so (y2-y1)/(x2-x1) = (k-n)/(j-m) = your answer

for c) it's just the same thing, except with the two points on line s

Answer 45

Okay, thank you.

Answer 46

for d) since line q is a translation 3 units down of line s, just take the coordinates of point P' (make sure to use P' not P) and subtract 3 from the y-coordinate

Answer 47

okay and for c) is it (y2-y1)/(x2-x1) = (k+e-n+e)/(j-j) ?

Answer 48

should be j - m not j - j

Answer 49

also be careful with your parentheses, the numerator needs to be (k+e) - (n+e)

Answer 50

okay and with d) im kinda confused

Answer 51

so the coordinates of P' are (m,n+e)

a shift of 3 units down means the y-coordinates are 3 less than they were before
so just (m, n + e - 3) = your ans

Answer 52

Okay, thank you. I'll send the last one

Answer 53

this website has a diagram that explains the construction better than I can ;_;

https://www.mathsisfun.com/geometry/construct-linebisect.html

Answer 54

(keep the same width)

Answer 55

So basically make it into a triangle?

Answer 56

then just connect the two places where the arcs intersect

Answer 57

I hope that makes sense, my brain is starting to get fried ;;

Answer 58

yeah, is that the finished line or is there more i need to do to it

Answer 59

that's it

Answer 60

kk last one

Answer 61

first find the slope of y = -3x - 8

Answer 62

brb

Answer 63

kk

Answer 64

-3 is the slope

Answer 65

good, and it wants the perpendicular line, so we take the negative reciprocal to get (1/3) as the new slope

then we re-write

y = (1/3)x + b

then we plug in (-3,1) as our new x and y values and solve for b

Answer 66

awesome, thank you

Answer 67

b=31x+y ?

Answer 68

so x = -3 and y = 1

y = (1/3)x + b

1 = (1/3)(-3) + b

b = ?

Answer 69

2?

Answer 70

yup so your final answer is y = (1/3)x + 2

Answer 71

awesome, thank you so much for all your help. hope you have a good day/night :)