is it possible to prove the lines are parrallel or not parallel? if so, state the postulate or theorem you would use. if not, state cannot be determined.

complete 1, 2, and 3
HELP

Is It Possible To Prove The Lines Are Parrallel Or Not Parallel? If So, State The Postulate Or Theorem

Answers

Answer 1

Answer:

If two lines are cut by a transversal and the consecutive exterior angles are supplementary, then the two lines are parallel.

Step-by-step explanation:

Keep in mind you do not need to check every one of these 12 supplementary angles. Just checking any one of them proves the two lines are parallel!


Related Questions

Find the solution to the following system of equations using the addition method. 2x - y = 5 x + y = 13

Answers

Answer:

x = 6

y = 7

Step-by-step explanation:

2x - y = 5

x + y = 13

2x - y = 5

y = 2x - 5

x + y = 13

x + 2x - 5 = 13

3x - 5 = 13

3x = 18

x = 6

y = 2x - 5

y = 2 ( 6 ) - 5

y = 7

Answer:

Step-by-step explanation:

2x - y = 5

x + y = 13

3x = 18

x = 6

6 + y = 13

y = 7

(6,7)

A sum of money is shared among Jen, Mary and Lilly in the ratio of 2:3:5. If Mary gives $27 to Jen, then both of them will have an equal amount of money. How much money does Lilly have?

Answers

[tex]3x-27=2x+27[/tex]

Given:

Sum of money is shared among Jen, Mary and Lilly in the ratio of 2:3:5.

If Mary gives $27 to Jen, then both of them will have an equal amount of money.

To find:

The money Lilly have.

Solution:

Let Jen, Mary and Lilly have money 2x, 3x and 5x respectively.

Mary gives $27 to Jen, then both of them will have an equal amount of money. It means,

[tex]3x-27=2x+27[/tex]

Isolate variable terms.

[tex]3x-2x=27+27[/tex]

[tex]x=54[/tex]

Now, the money Lilly have is

[tex]5x=5\times 54[/tex]

[tex]5x=270[/tex]

Therefore, Lilly have $270.

2(x+4) + 12 = 38
please help

Answers

Answer:  

x = 9

Explanation:

So when you solve this you get:  2x + 20 = 38

You would then subtract 20 from 38 to isolate the 'x' variable, thus giving you 2x = 18.  From here you would divide by two to completely isolate x.

x = 9.  The variable 'x' equals 9.  If you put the number 9 into the equation in place of 'x' then you would get 38 = 38, therefore proving that x = 9


Write as a decimal number.
9-10

Answers

Answer:

.9

Step-by-step explanation:

9 divided by 10

68 degrees
93 degrees
168 degrees
4
3
2
1

Answers

Answer:

I cannot samajh for your question sovo CNC not explain

A shop owner offered a 40% discount off the regular price of a mirror. The amount of the discount is $6.

What is the regular price of the mirror?

Answers

Step-by-step explanation:

the original price of the mirror is not known so we will call it x for now.

The discount on the original price is a 40% discount, so it is 40% of x or 0.4x

We are told that the discount is $6, so 0.2x will = 6. So now we will solve the equation for x.

0.4x = 6

x= 6/0.4

x= 15

The original price is $15

The regular price of the mirror is $15.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a shop owner offered a 40% discount off the regular price of a mirror.

Let the regular price of a mirror be x.

The amount of the discount is $6.

Now, 40% of x=6

40/100 ×x=6

0.04x=6

x=6/0.4

x=15

Therefore, the regular price of the mirror is $15.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

If mBC= (9x – 53) °and mCD = (2x + 45) ° , find mBAD.

Answers

Answer:(7x - 34)

Step-by-step explanation:

is -pi a rational or irrational number

Answers

Answer:

I believe that it is a irrational number.

Step-by-step explanation:

An irrational number is a number that cannot be written as a fraction with a num and denom that aren't equal to 0. These cannot be expressed as repeating decimals. -pi has all these traits, therefore it's irrational.

Answer:

Irrational

Step-by-step explanation:

A rational number, that is a decimal, is a number that can be written as a fraction. Because pi never ends, it can't be written as a fraction so its irrational.

Have a great day, you amazing bean child.

(Yes you are now my bean child. Get over it)

Janice and her dad are building a treehouse. Her dad bought a box of 155 nails for 3.10andaboxof85screwsfor7.65. How much more do screws cost per piece?

Answers

Answer:

$0.07

Step-by-step explanation:

nails = 3.10/155 = 0.02/piece

screws = 7.65/85 = 0.09/piece

0.09 - 0.02 = 0.07

.___________________.
.___________________.

Answers

Answer:

When y = 0, x = -14

Thus, the x-intercept of the line is:

(x, y) = (-14, 0)

Step-by-step explanation:

From the table, taking two points

(-94, 24)

(-74, 18)

Finding the slope between (-94, 24) and (-74, 18)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-94,\:24\right),\:\left(x_2,\:y_2\right)=\left(-74,\:18\right)[/tex]

[tex]m=\frac{18-24}{-74-\left(-94\right)}[/tex]

[tex]m=-\frac{3}{10}[/tex]

We know the slope-intercept form of line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

substituting m = -3/10 and the point (-94, 24) in the slope-intercept to determine the y-intercept 'b'

[tex]24\:=\:-\frac{3}{10}\left(-94\right)+b[/tex]

[tex]\frac{3}{10}\cdot \:94+b=24[/tex]

[tex]\frac{141}{5}+b=24[/tex]

[tex]b=-\frac{21}{5}[/tex]

now

substituting m = -3/10 and y-intercept 'b=-21/5' in the slope-intercept of line equation

[tex]y = mx+b[/tex]

Thus, the equation of the line will be:

[tex]\:y\:=\:-\frac{3}{10}x-\frac{21}{5}[/tex]

We know that the x-intercept can be determined by setting y = 0, and determining for x. so,

[tex]\:0\:=\:-\frac{3}{10}x-\frac{21}{5}[/tex]

switch sides

[tex]-\frac{3}{10}x-\frac{21}{5}=0[/tex]

[tex]-\frac{3}{10}x=\frac{21}{5}[/tex]

[tex]-3x=42[/tex]

divide both sides by -3

[tex]\frac{-3x}{-3}=\frac{42}{-3}[/tex]

[tex]x=-14[/tex]

so when y = 0, x = -14

Thus, the x-intercept of the line is:

(x, y) = (-14, 0)

How to get good grades in Maths​

Answers

Answer:

by stady hard

Step-by-step explanation:

like by do exercise

work sheets

and by ask help a teacher or parents

find the inverse f (x) = 8x – 5

Answers

Answer:

Step-by-step explanation:

we will replace f(x) with y

y=8x-5  

x=8y-5  we solve for y

8y-5=x

y=x/8 +5/8

f^-1=x/8 +5/8

B(n+5)=(n+p)3

what does p=​

Answers

Answer:

I think it -5

Step-by-step explanation:

20 points brainliest!!!!

Answers

Answer:

c i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

is 7-y=5x+11 a linear equation

Answers

Yes. As long as it is y = mx+b.

PLEASE HELP VERY URGENT!!!!!!!





Lucy made tables of values to approximate the solution to a system of
equations. First she found that the x-value of the solution was between 1 and
2, and then she found that it was between 1.5 and 2. Next, she made this
table.

Which ordered pair is the best approximation of the exact solution?
O A. (1.7,0.9)
B. (1.5, 1.8)
C. (1.6, 1.3)
D. (1.9.1.5)

Answers

Answer:

The correct option is;

C. (1.6, 1.3)

Step-by-step explanation:

Given that at x = 1.5 the y-values of both equations are y = 1.5 and y = 1 respectively

The x-value > The y-value

The difference in the y-values = 1.5 - 1 = 0.5

At x = 1.6 the y-values of both equations are y = 1.2 and y = 1.4 respectively

The x-value > The y-value

The difference in the y-values = 1.2 - 1.4 = -0.2

At x = 1.7 the y-values of both equations are y = 0.9 and y = 1.8 respectively

The x-value > The first y-value and the x-value < the second y-value

The difference in the y-values = 0.9 - 1.8 = 0.9

Therefore, the approximate y-value can be found by taking the average of both y-values when x = 1.6 where the difference in the y-values is least as follows;

Average y-value at x = 1.6 = (1.2 + 1.4)/2 = 1.3

Therefore, the best approximation of the exact solution is (1.6, 1.3)

By calculation, we have;

-3·x + 6 = 4·x - 5

∴ 7·x = 11

x = 11/7 ≈ 1.57

y = 4 × 11/7 - 5 ≈ 1.29

The solution is (1.57, 1.29)

Edward deposited ​$7,500 into a savings account 2 years ago. The simple interest rate is 2​%. How much money did Edward earn in​ interest? What would be his new account​ balance?

Answers

Answer:

The interest is $300 and the amount is $7800

Step-by-step explanation:

Given

P = $7,500

i = 2​% = 0.02

t = 2 years

Using the formula

I = P × i × t

I = 7,500 × 0.02 × 2

I =  $300

Thus, Edward earned an interest =  $300

The amount in his new account bank can be calculated using the formula:

A = P + I

Since P = $7,500  and I = $300

A = P + I

  = 7,500 + 300

  = $7800

Thus, the new amount in his bank account = A = $7800

Therefore,

The interest is $300 and the amount is $7800

In one year, Bob’s savings were $250. Diana’s is saving were 4/5 of Bob’s savings. The next year, Diana increased her savings by 30%. Find the amount of Diana‘s savings the second year.

A. $260
B. $270
C. $230
D. $200

Answers

Answer:

A. $260

Step-by-step explanation:

bob = $250

diana = 4/5 of bob

diana = 4/5 x $250

diana = $200 = 100%

30 % inc means she added 30% on top of what she had already which was 100%

30% + 100& =  130%

if 100 % = %200

130% = 130% x $200

                 100%

= $260

PLEASE HELP ME SOLVE THIS!

Answers

Answer: x = 17

Explanation:

2(x + 17) + (6x + 10) = 180degree
2x + 34 + 6x + 10 = 180
8x + 44 = 180
8x = 136
x = 17

Answer:

17

Step-by-step explanation:

This is an isosceles triangle. However, it doesn't really matter since ALL TRIANGLES HAVE A SUM OF 180 DEGREES.

Now that you know that, you can add up all of the angles and set it equal to 180.

[tex](x+17) + (6x+10) + (4x-34)=180[/tex]

Now solve for x

[tex](x+17) + (6x+10) + (4x-34)=180\\11x-7=180\\11x=187\\x=17[/tex]

The value of x is 17.

A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is x=900 and the sample deviation is s = 10. Use appendix D to find the values of student's t. (a) Construct an interval estimate of u with 98% confidence. (Round your answers to 3 decimal places.)

Answers

Answer:

795.596≤u≤804.403

Step-by-step explanation:

Confidence interval is expressed using the formula;

CI = xbar ± (z*s/√n)

xbar is the sample mean

z is the z score at 98% confidence

s is the standard deviation

n is the sample size

Given

xbar = 800

z = 2.33

s = 10

n = 28

Substitute into the formula;

CI =800 ± (2.33*10/√28)

CI = 800 ± (2.33*10/5.2915)

Ci = 800± (2.33* 1.8898)

CI = 800 ± 4.4033

CI = (800-4.4033, 800 + 4.4033)

CI = (795.596, 804.403)

Hence an interval estimate of u with 98% confidence is expressed as

795.596≤u≤804.403

F(1) = 8, F(n) = f(n-1) +2

Answers

Answer:

the answer is t-x equals tx

Solve the following literal equation for t;
t+y=p

Answers

T=Py because that’s your answer

Answer.....
.ok
.
.
.
.

.
.

Answers

Answer:

12%

Step-by-step explanation:

3.499-3.079 is 0.42

0.42/3.499 is  about 12%

Hope this helps!

And by the way, its a decrease.

In the diagram below of triangle
B
C
D
BCD,
E
E is a midpoint of
B
C

BC
and
F
F is a midpoint of
C
D

CD
. If
E
F
=
6
x

31
EF=6x−31, and
B
D
=
64

9
x
BD=64−9x, what is the measure of
E
F
EF?

Answers

9514 1404 393

Answer:

  EF = 5

Step-by-step explanation:

Given:

  EF = 6x -31

  BD = 64 -9x

  BD = 2·EF

Find:

  EF

Solution:

  BD = 2·EF

  64 -9x = 2(6x -31) . . . . substitute the given expressions

  64 -9x = 12x -62  . . . .  eliminate parentheses

  126 = 21x . . . . . . . . . . . add 62+9x

  x = 6 . . . . . . . . . . . . . . . divide by 21

Now the length of EF is ...

  EF = 6x -31 = 6(6) -31

  EF = 5

You bought 12 bottles of apple juice and orange juice. The apple juice was on sale for $1.00 per bottle. The orange juice was $1.75 per bottle. You spent $15. How many bottles of each type of juice did you buy?

Answers

Answer:

8 bottles of apple juice  + 4 bottles of orange juice.

Step-by-step explanation:

Okay, again here's what we know:

- Orange Juice is $1.75 per bottle

- Apple Juice is $1.00 per bottle.

Now, if we spend 15 dollars- we need to first find out the orange juice to be able to make it an even. So 1.75 times 4 gets us an even 7 dollars. Now that we have that information, we know that if we do another 4 bottles the price would be okay, but the amount of bottles would not be.

So, then we'll add in the rest in dollars as the apple juice. We have 4 juices but we need 12. So, 12-4=8. Therefor, you need 8 bottles of AJ and 4 bottles of OJ.

I hope this helps and best of luck on your work! Happy Holidays, stay safe!

Samuel orders a video game online for $40.00. He has a 20% discount code,
and the sales tax is 9%. What is the total cost of his order?

Answers

Answer:

$34.88

Step-by-step explanation:

If the discount is 20%, then the sale price is 80% of the full (original) cost:

0.80($40.00) = $32.

Sam has to pay 9% sales tax on this $32.  The total cost of his order would then be 1.09($32) = $34.88.  If desired, you could write this as the equivalent $32 + 0.09($32).

What percent of 30 is 16.5 ?





..........




Answers

Answer: 0.55

Step-by-step explanation:

16.5 ÷ 30 = 0.55

In conclusion, 0.55 is 16.5 of 30.

Hope this helps!

Cristian was headed to work. What is the probability that he misses the bus and is still on time to work?​

Answers

Answer:

1/15

Step-by-step explanation:

1/3 x 1/5

12 km
16 km
what is the length of the hypotenuse.

Answers

Answer:

the length of the hypotenus is 20km

5th grade math. Correct answer will be marked brainliest.

Answers

4 x 7 = 28
3.6 x 7.4 = 26.64

Answer:

By estimating with whole numbers, 4 x 7 = 28, helps me know that the decimal point should be placed so that the answer is close to 28.

Step-by-step explanation:

Can I have brainliest? TYSM

You round:

3.6 to 4

and

7.4 to 7

4 x 7 = 28 approximately

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