Question

Point Q and point R lie on the same line, as shown

Answer 1

this one is a little hard to explain but you start with point R, test the answer choices one by one, to see which one can make a valid right triangle between R and W

Answer 2

the answer is C for sure

Answer 3

good

Answer 4

original box: height = 5, width = 3, length = 9

the company will add 3 to the width and height so the new dimensions are

height = 5 + 3, width = 3 + 3, length = 9

calculate the new volume ~

Answer 5

the answer is B

Answer 6

check your calculations again

new volume = (5+3)(3+3)(9) = ?

Answer 7

432

Answer 8

that was wrong for B

Answer 9

good

since it wants new volume - old volume let's also calculate the old volume using the original dimensions

old volume = 5*3*9 = ?

Answer 10

135

Answer 11

good so new volume - old volume = 432 - 135 = 297 = your solution

Answer 12

if you try drawing a triangle between J and K you get a right triangle w/ legs 9 and 12, so what would the hypotenuse be using pythagorean?

Answer 13

15

Answer 14

good so 15 = your solution

Answer 15

first we need to figure out what the radius of the cylinder is

since we have a hemisphere the height of the hemisphere is also the radius of the cylinder and sphere

so volume of cylinder = pi * r^2 * h = pi * (24)^2 * 50 = ?

Answer 16

90

Answer 17

should be larger than that, check your calculations again

remember the exponent

Answer 18

87

Answer 19

pi * (24)^2 * 50 = 3.14 * 24 * 24 * 50 = ?

Answer 20

90432

Answer 21

good now let's start on the hemisphere

volume of hemisphere = (1/2) * (4/3) * pi * r^3 = ?

same r-value as before, 24

Answer 22

2rr^3/3

Answer 23

remember to plug in r though, remember r = 24

Answer 24

i figured out the answer is D

Answer 25

please attempt the calculations

if r = 24 then (1/2) * (4/3) * pi * (24)^3 = ?

Answer 26

28

Answer 27

make sure you are plugging everything into the calculator

(1/2) * (4/3) * pi * (24)^3 = (1/2) * (4/3) * pi * 24 * 24 * 24 = ?

Answer 28

28952

Answer 29

good so adding the volumes together gives us about 119K (B)

Answer 30

hint - if you reflect shape 1 across the y-axis the trapezoids will be in the same orientation
then you can simply translate shape 1 down by a certain # of units to get them to overlap

how many units will you need to translate?

Answer 31

2

Answer 32

how many units do we need to translate down?

Answer 33

-6

Answer 34

count the number of spaces marked by the brown markings

your answer should be a positive #

Answer 35

5

Answer 36

how many units are between 2 and -6 on a number line?

Answer 37

4

Answer 38

2 - (-6) = ?

Answer 39

8

Answer 40

good so the transformation sequence is a reflection across the y-axis and a translation down by 8 units

Answer 41

so in a complete sentence, i'm gonna rewrite it

Answer 42

First, you have to reflect shape 1 across the y-axis the trapezoids will be in the same orientation
then you can simply translate shape 1 down by a certain # of units to get them to overlap

so it appears to be that the transformation sequence is a reflection across the y-axis and a translation down by 8 units.

Answer 43

how about that ?

Answer 44

it's acceptable

Answer 45

all dilations produce similar shapes since each side is being changed by the same scale factor w/o changing the angle measurements

^ something like that

Answer 46

that's what to right on Part B ?

Answer 47

yes

Answer 48

Q is the midpoint of GH¯¯¯¯¯¯ , GQ=2x+3, and GH=5x−5 . What is the length of GQ¯¯¯¯¯ ?

____________ units

Answer 49

if Q is the midpoint then GQ is one half of the entire segment Gh

so 2x + 3 = (1/2)(5x-5) solve for x (the first step)

Answer 50

11

Answer 51

good

since it wants the length of GQ plug x = 11 into 2x+3

Answer 52

What is the length of TW¯¯¯¯¯¯ ?

https://static.k12.com/nextgen_media/assets/1541231-IM1_141006_050306.jpg

Enter your answer in the box.

TW =

Answer 53

those hash marks means that TU and UW are equal

so TW is double the length of TU

Answer 54

?

Answer 55

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
so TW is double the length of TU
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 56

take the length of TU and double it to get TW.

Answer 57

14

Answer 58

the length of TU is 16

what is double 16?

Answer 59

i almost said 16

Answer 60

8

Answer 61

2 * 16 = ?

Answer 62

32

Answer 63

good so the length of TW is 32 = your solution

Answer 64

What is the distance between points F and G?

https://static.k12.com/nextgen_media/assets/1533127-IM1_140918_040402.jpg

Enter your answer in the box.


_______ units

Answer 65

point F is on -6 and point G is on 12

so simply subtract point G minus point F to get the distance

be careful with signs

Answer 66

number line from negative 10 to 14. point f is at negative 6. point g is at 12.

Answer 67

what is 12 - (-6) = ?

Answer 68

18

Answer 69

good so 18 = the distance = your solution

Answer 70

Which two segments have the same length?

https://static.k12.com/nextgen_media/assets/1584119-IM1_150227_4_Q020Q.jpg

A. VW¯¯¯¯¯¯ and XY¯¯¯¯¯¯

B. XY¯¯¯¯¯¯ and YZ¯¯¯¯¯

C. WX¯¯¯¯¯¯ and YZ¯¯¯¯¯

D. VW¯¯¯¯¯¯ and YZ¯¯¯¯¯

Answer 71

ugh

well this is kind of tedious but you just need to calculate the distances for each answer choice and see which one has two equal segments

so let's start with A, what are the lengths of VW and XY?

Answer 72

A number line with a minimum of negative twenty and a maximum of twenty. The following points and labels are on the number line, V, negative ten, W, negative two, X, three, Y, ten, and Z, eighteen.

Answer 73

please attempt the calculation

Answer 74

if point V is on -10 and point W is on -2 what is the distance between the two points?

Answer 75

0

Answer 76

to find the distance between two points on number line, subtract the two values and take the absolute value if you get something negative

so -2 - (-10) = ?

Answer 77

8

Answer 78

good so VW is 8

repeat the same logic with XY, if point X is on 3 and point Y is 10 what is the distance?

remember our steps for the previous problem.

Answer 79

3 - (10) = -7

Answer 80

good but since we want distance we would take the positive value only, so XY is 7

since 7 =/=8 that means answer A can't be it
so let's move to answer B

Answer 81

B. XY¯¯¯¯¯¯ and YZ¯¯¯¯¯

XY is 7 as we already stated

so for YZ, point Y is on 10 and point Z is on 17

so YZ = ?

Answer 82

10 - (17) = -7

Answer 83

good but again we want distance so we take the positive value 7

so the two segments are equal making B the best choice ~

Answer 84

M is between points C and Q. CM=17 and CQ=21.

What is MQ?

Enter your answer in the box.

MQ=

Answer 85

the answer is 4 correct ?

Answer 86

good

Answer 87

some were wrongs

Answer 88

oh really? that's unfortunate :S

Answer 89

Point Q is the midpoint of GH¯¯¯¯¯¯ . GQ=2x+3, and GH=5x−5 .

What is the length of GQ¯¯¯¯¯ ?



Enter your answer in the box.

was 25 units not 11

Answer 90

I didn't say the solution was 11, I said x = 11 and you need to plug it into 2x + 3.

Answer 91

Which two segments have the same length?

A number line with a minimum of negative twenty and a maximum of twenty. The following points and labels are on the number line, V, negative ten, W, negative two, X, three, Y, ten, and Z, eighteen.


VW¯¯¯¯¯¯ and XY¯¯¯¯¯¯

was D

Answer 92

I don't agree with that solution but ok

VW is 8 units and XY is 7 units

Answer 93

What is the distance between points J and K?

https://static.k12.com/nextgen_media/assets/1533126-IM1_140918_040401.jpg

Enter your answer in the box.


_____ units

Answer 94

same logic as before

subtract 4 - (-8)

Answer 95

12

Answer 96

good so 12 = your solution

Answer 97

Which two segments have the same length?

https://static.k12.com/nextgen_media/assets/1533127-IM1_140918_040402.jpg

A. VW¯¯¯¯¯¯ and YZ¯¯¯¯¯

B. VW¯¯¯¯¯¯ and XY¯¯¯¯¯¯

C. XY¯¯¯¯¯¯ and YZ¯¯¯¯¯

D. WX¯¯¯¯¯¯ and YZ¯¯¯¯¯

Answer 98

the answer key said it was VW¯¯¯¯¯¯ and XY¯¯¯¯¯¯ right? then that's what you should go with even though i don't entirely agree

Answer 99

the line is on top of them

Answer 100

you said D. WX¯¯¯¯¯¯ and YZ¯¯¯¯¯ was right? then that's what you should go with

Answer 101

this question is different

Answer 102

XY and YZ have the same length 7 so it should be XY and YZ

Answer 103

cause it was on a -8 this is a -6

Answer 104

I think i might have said B my accident whoops should have been C

Answer 105

anyway the diagram you have provided does not match the answer choices

Answer 106

regardless simply subtract 12 - (-6) to get FG

Answer 107

18

Answer 108

good

Answer 109

the answer is really D for this question ?

Answer 110

should be C. XY¯¯¯¯¯¯ and YZ¯¯¯¯¯

Answer 111

anyway we should probably close this and start a fresh question since it's over 100 replies at this point