Use the given information to determine which lines, if any, are parallel. Justify each conclusion with a theorem or postulate.

1. angle 2 is supplementary to angle 3

2. Angle 1 is congruent to angle 3

3. Angle 6 is supplementary to angle 7

Angle 9 is congruent to angle 12

Answer:

-2/3 rational i/2 irrational 0.7 rational √5 irrational √ 16 irrational 0 whole number 3.89 rational -4 integer

Step--by-step explanation:√ 5 rational or irrational

Natural Number: -2/3, 0.7,√16, 0, -4

Whole Number: 0.7,√16 0

Integers: -2/3, 0.7,√16,0, -4

Rational Number: -2/3, 0.7, √16,0, -4

Irrational Number: π/2, √5,

Answer:

*Replace each "x" with the required numbers .

1) g (14) ; Ans;

[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]

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2) f (-8) ; Ans;

[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]

___o_o___

3) j (3) ; Ans;

[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]

___o_o___

4) h (4) ; Ans;

[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]

___o_o___

5) f (2.8) ; Ans;

[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]

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6) j(-5) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]

___o_o___

7) g(3/4); Ans;

[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]

___o_o__

8) [h(6.2)]² ; Ans;

[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]

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9) j(2) + g(-3) ; Ans;

[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]

___o_o___

10) h(1) - f(-10) ; Ans;

[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]

___________o____o__________

**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .

***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .

Table (1) Ans;

f(4) = –3

f(-2) = – 6

If f(x)= -3 ,then x = 4

If f(x) = 1 , then x = 3

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Table (2) Ans;

f(4) = –7

f(-2) = 1

If f(x)= -3 ,then x = 0

If f(x) = 1 , then x = - 2

___o_o____

Table (3)Ans;

f(4) = 7

f(-2) = 3

If f(x)= -3 ,then x = 6

If f(x) = 1 , then x = 0

I hope I helped you^_^

Answer:

$20

Step-by-step explanation:

Divide 40 by 8. Then multiply that answer by 4.

You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.

Answer:

65.7 ft.

Step-by-step explanation:

at first, let's say she was x fts. below sea level.

over the next 10 minutes she drops 23.5 ft.

that is her height below sea level then becomes

(x + 23.5) ft.

and it's given that she dropped to 89.2 ft. below sea level.

x + 23.5 = 89.2

x = 89.2 - 23.5

x = 65.7 ft.

and x was the height she's been below sea level.

Therefore ,she's been 65.7 ft. below sea level.

Answer:

65.7

Step-by-step explanation:

We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.

Answer:

2 2/5 miles

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Answer:

3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

are the correct equations.

Step-by-step explanation:

If you simply all these equations you will get following equations :

when bases are same and are in multiplication we add the exponents.

−4b^4(5b^2+6)=−20b^6−24b^4

−5x^3(3x^3+2)=−15x^6−10x^3

−3y^5(2y^3+3)=−6y^8−9y^5

−2c^6(5c^3+6)=−10c^9−12c^6

so equation 3 and 4 are correct.

Answer:

for the first one it's 36

for the second its 13

Answer:

[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]

Answer:

esult in the project being reset and the student losing access to auto-progression.

Answer the fol

Answer:

a) [tex]1/2[/tex]

b) [tex]5/6[/tex]

c) [tex]2/3[/tex]

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]

Answer:

9

Step-by-step explanation:

-3(-15-2(-9))^2

=-3(-15+15)^2

=-3^2

=9

sorry, it just seems easy for me.

but tell me if you need more profound explanations. <:D

the pic is for a other question:

please mark this answer as brainlist

Answer:

A

Step-by-step explanation:

The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.

A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.

here, we have,

We have to determine

Which statement correctly describes the graph of g(x) = f(x - 9)?

According to the question

Graph;

The straight-line x=6 is a vertical asymptote of the graph of the function  if at least one of these conditions is true:

Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.

Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.

To know more about vertical asymptote, click the link given below.

brainly.com/question/1491466

#SPJ7

Answer:

4y? or 2(exponet 2)y

Step-by-step explanation:

Answer with Step-by-step explanation:

1. 6x-3y+8x-(-4y-3y)

14x-3y+4y+3y

14x+4y

1+8a/4-3+2a

-2+2a-2a

-2a

Answer:

7

Step-by-step explanation:

4x-13 = x + 8

3x = 21

x = 7

enjoy

Answer:

the lovin lemon

Step-by-step explanation:

there are 4 quarts in a gallon so 4 times 16 is 64 for just one gallon so the answer would be the lovin lemon is cheaper

Answer:

x = 70

Step-by-step explanation:

14 + x = 84

x= 84 - 14

x = 70

here x is the games lost.

hope tgis helps !

Answer:

yes, they are proportional

Step-by-step explanation:

6/9 is just three time as big as 2/3 but they are basically the same fraction

Answer:

Step-by-step explanation:

yes, it is proportional

6/9 = 2/3

18 = 18

Answer:

{3, 3, 6, 7, 9}

Answer:

A child experiencing emotional.........

Answer:

96

Step-by-step explanation:

A=6a²=6·4²=96

Answer:

800

Step-by-step explanation:

divide 5 and 8

Step-by-step explanation:

Arithmetic Sequnce in our daily life

The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.

Sample real life problem:

1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?

In this situation, I would use the arithmetic sequence formula which is:

an = a1 + (n - 1)d

an is the nth term

a1 is the first term

n is the term position

d is the common difference

Lets subsitute:

an = P300 + (30 - 1)P2

an = P358

I should earn P348 at the end of 30 days

(brainly says i need more letters so here)

7/8

Answer:

F' = (2 , -4)

G' = (-1 , -3)

H' = (4 , 0)

I' = (5 , -2)

Step-by-step explanation:

To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:

(x , y) → (-x , y)

Using this will give the points of F', G', H', and I'.

To find the new points, plug in the values into the formula:

F → F' = (-2 , -4) → (2 , -4)

G → G' = (1 , -3) → (-1 , -3)

H → H' = (-4 , 0) → (4 , 0)

I → I' = (-5 , -2) → (5 , -2)

To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.