Ok I have to make multiple questions since the max amount of attachments is 5 but this is the first one.

All answers are down below!

Step-by-step explanation:

PAGE 1

22.) -10x - 2y = 20 (add 10x on both sides)

-2y = 10x + 20 (divide by -2 on both sides)

y = -5x - 10

Neither because perpendicular lines have opposite reciprocal and opposite sign. This equation only has opposite sign. It's not parallel because parallel lines have the same slope, and this equation doesn't.

23.) <1 = 138 b/c 180 -42

<2 = 42 b/c vertical to the angle measured 42

<3 = 138 b/c it's vertical to <1 and vertical angles have the same measure

<4 = 42 b/c it is an alternate interior angle to <2

<5 = 90 b/c vertical to <8

<6 = 48 b/c <4 + <5 + <6 = 180 and 42 + 90 + 48 = 180

<7 = 42 b/c it is vertical to <4 which also has a measure of 42

<8 = 90 b/c it is same side interior to <10 which has a measure of 90 degrees

<9 = 48 b/c <7 + <8 = 132 and 180 -132 = 48

<10 = 90 b/c it is a linear pair with the right angle and a right angle equals 90 degrees

PAGE 2

1.) PQ, QR, and NR

2.) ML, NP, and RQ

3.) KL, JM, JN, and KP

4.) corresponding angles

5.) alternate interior angles

6.) alternate exterior angles

7.) interior consecutive angles or same side interior angles

PAGE 3

9.) Q'(5, -4) R'(5, -2) S'(1, -3) because (x, y) > (-x, y)

10.) J'(3, 5) I'(1, 1) H'(3, 1) G'(4, 5) b/c (x,y) > (x, -y)

11.) E'(1, -4) F'(0, -2) G'(-3, -5) b/c (x,y) > (-x, y)

12.) J'(1, 2) K'(-1, -3) L'(4, -2) M'(3, 3) b/c (x,y) > (x, -y)

13.) Y'(-4, 1) X'(-3, 4) W'(-4, 5) b/c (x,y) > (y, x)

14.) J'(-3, 3) I'(5, 2) H'(-5, 1) G'(0, -1) b/c (x,y) > (-y, -x)

15.) H'(-2, 5) G'(2, 2) F'(3, 4) b/c (x,y) > (x, -y)

16.) U'(-2, -1) V'(0, 2) W'(-3, 4) b/c (x,y) > (y, x)

PAGE 4

17.) 3x - 43 = 80 (add 43 on both sides) --> 3x = 123 (divide by 3 on both sides) --> x = 41

18.) 8x - 6 = 90 (add 6 on both sides) ---> 8x = 96 (divide by 8 on both sides) --> x = 12

19.) 15x - 5 + 11x + 3 = 180 (collect like terms) --> 26x -2 = 180 (add 2 on both sides) ---> 26x = 182 (divide by 26 on both sides) --> x = 7

20.) To find slope use y2-y1/x2-x1

PLUG IN

2 - -5/ -1 - -5 =

7/4 since parallel lines have the same slope line b would also have a slope of 7/4.

21.) x + 3y = 2 (subtract x on both sides) ---> 3y = -x + 2 (divide by 3 on both sides)

y = -1/3x + 2/3. The lines are perpendicular because their slopes have opposite reciprocals and opposite signs.

PAGE 5

8.) 4x - 9 + 75 = 180 (collect like terms) --> 4x + 66 = 180 (subtract 66 on both sides) > 4x = 114 (divide by 4 on both sides) x = 28.5

9.) 7x + 2 = 65 (subtract 2 on both sides) --> 7x = 63 (divide by 7 on both sides) --> x =9

10.) Corresponding angles

11.) <7

12.) consecutive interior angles or same side interior angles

13.) <9

14.) Line C

15.) c || d

16.) a || b

Hope this helps you!!

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

part a

answer: a reasonable domain is where n is a real number. so n can be between 0 and 10. both endpoints are included.

work shown:

n is the number of days after the experiment starts. the smallest n can be is n = 0 which means that 0 days have gone by, and we're at the start. to find out how large n should be, then replace f(n) with 16.13 and solve for n. use logarithms to isolate the exponent.

f(n) = 12*(1.03)^n

16.13 = 12*(1.03)^n

16.13/12 = (1.03)^n

1.34416666666667 = (1.03)^n

(1.03)^n = 1.34416666666667

log[ (1.03)^n ] = log[ 1.34416666666667 ]

n*log[ 1.03 ] = log[ 1.34416666666667 ]

n = log[ 1.34416666666667 ]/log[ 1.03 ]

n = 10.0062999823929

this rounds to n = 10 which is fairly close but not 100% perfect. so this is the largest n can be.

note: if you plug n = 10 into f(n), you'll get roughly 16.127 which rounds to 16.13 (this comes up again in part c)

=====================================

part b

answer: the y intercept is 12. it represents the starting height of the plant in cm.

work shown:

plug n = 0 into the f(n) function. simplify

f(n) = 12*(1.03)^n

f(0) = 12*(1.03)^0

f(0) = 12*(1)

f(0) = 12

on day n = 0, aka the starting point, the height f(n) is 12 cm

=====================================

part c

answer: the average rate of change is approximately 0.43061036458991 (round however you need to). this represents the average growth rate from day n = 3 to day n = 10. so the plant grew roughly 0.43 cm per day during this timespan, assuming you round to 2 decimal places.

work shown:

compute f(3)

f(n) = 12*(1.03)^n

f(3) = 12*(1.03)^3

f(3) = 13.112724 < we'll use this later

compute f(10)

f(n) = 12*(1.03)^n

f(10) = 12*(1.03)^10

f(10) = 16.1269965521294 < we'll use this later

now use the formula below with a = 3 and b = 10

aroc = average rate of change

aroc = [ f(b) - f(a) ]/[ b - a ]

aroc = [ f(10) - f(3) ]/[ 10 - 3 ]

aroc = (16.1269965521294 - 13.112724)/(10 - 3)

aroc = 3.0142725521294/7

aroc = 0.43061036458991

round this however you need to

note: the plant grew approximately 3.01 cm over 7 days, so roughly 0.43 cm per day is the average growth rate (if you were to round to 2 decimal places).