Two parallel lines are cut by a transversal as shown below.
Suppose m<8=109. Find m<2 and m<3.

Two Parallel Lines Are Cut By A Transversal As Shown Below.Suppose M&lt;8=109. Find M&lt;2 And M&lt;3.

Answers

Answer 1

Answer:

measure 2 has to be 109 due to the alternate interior angles theorem. Measure 3 has to be 71 due to the supplementary angles theorem.

Answer 2

Angles 8 and 2 are alternate interior angles so they will be the same therefore,m∠2 and m∠3 will be 109° and 71° respectively.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—is known as the vertex.

Given two parallel lines a transversal.

Angles 8 and 2 are alternate interior angles.

m∠8 = m∠2

m∠2 = 108°

Now,m∠2 and m∠3 are supplementary angles.

Therefore,m∠3 = 180° - 108° = 71°

Hence "Angles 8 and 2 are alternate interior angles so they will be the same therefore,m∠2 and m∠3 will be 109° and 71° respectively".

For more about the angle,

brainly.com/question/13954458

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Related Questions

Convert: 0.1477km =
m*

Answers

Answer:

147.7 meters

Step-by-step explanation:

kilo means 'thousands' so you have to move the demical 3 places to the left to make .1477 a thousand times larger

also, you could set up a proportion like the following based on 1km = 1000m

1000 m =  x  

   1 km        .1477

x = .1477 x 1000

x = 147.7

triangle has angles
1 = 24 degrees
2 = 37 degrees

whats the measure of the third angle

Answers

Answer:

119 degrees

Step-by-step explanation:

All triangles have a sum of 180 degrees for all of their angles

so 180= 24+37+ x

x= 119

Answer:

119

Step-by-step explanation:

A Solution of the equation,
3x2 + 2x + 1 = 0 is

Answers

Answer:

x = -3.5

Step-by-step explanation:

POE = PROPERTY OF EQUALITY

3*2 + 2x + 1 = 0

6 + 2x + 1 = 0 ## ^ Multiplication

7 + 2x = 0 ## ^ Combine like-terms

2x = -7 ## ^ Subtraction POE

x = -3.5 ## ^ Division POE

Answer:

X=0

Step-by-step explanation:

Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.

Westminster Street and Lake Avenue intersect. If Westminster Street is 7 meters wide and Lake Avenue is 5 meters wide, what is the distance between two opposite corners of the intersection? If necessary, round to the nearest tenth.

Answers

Answer:

the distance between two opposite corners of the intersection is 8.60 meters

Step-by-step explanation:

The computation of the distance between two opposite corners of the intersection is given below:

Here we applied the Pythagoras theorem

[tex]= \sqrt{7^2 + 5^2} \\\\= \sqrt{49 + 25} \\\\= \sqrt{74}[/tex]

= 8.60 meters

hence, the distance between two opposite corners of the intersection is 8.60 meters

4|m-n|
If m=-7 and n=2

Answers

you would first substitute -7 for m and 2 for n. It would look like this: 4| -7-2 | . we first solve the absolute value because it is the first step in PEMDAS or order of operations. -7-2 is equal to -9. Our equation should look like this now: 4 |-9| . we solve the absolute value portion, the absolute value of a negative number is the the same number but positive. the absolute value would be 9. (we just take the negative symbol off). we now have 4 x 9. This is equal to 36.

36 is the answer.

Which of these is closest in size to 1?
0.95
1.05
0.960
1.040
0.95

Answers

Answer:

0.960

Step-by-step explanation:

Answer:

0.960

Step-by-step explanation:

Help qwq I don’t wanna be yelled at for “TaKiNg ToOo LoNg”

Answers

Answer:

im not sure im so sorry! qwq

Step-by-step explanation:

A farmhouse shelters 14 animals. Some are
pigs, and some are chickens. Altogether there
are 44 legs between the animals. Let p
represent the number of pigs and c represent
the number of chickens.

Answers

9514 1404 393

Answer:

8 pigs6 chickens

Step-by-step explanation:

Maybe you want to know the number of each kind of animal.

__

We can write two equations in the two unknowns.

  p + c = 14 . . . . . . number of animals

  4p +2c = 44 . . .  number of legs

Dividing the second equation by 2, it becomes ...

  2p +c = 22

Then subtracting the first equation gives ...

  (2p +c) -(p +c) = (22) -(14)

  p = 8

  8 +c = 14

  c = 6

The farmhouse shelters 8 pigs and 6 chickens.

If f(x)=2x−2 and g(x)=x2−8x+19, then f(x)=g(x) for what values of x?




x=−1 and x=−4


x=−3 and x=−7


x=1 and x=4


x=3 and x=7

Answers

Answer:

D)     x =3  and x =7

Step-by-step explanation:

Step(i):-

Given function f(x) = 2x -2

                       g(x) = x² - 8x +19

Given that f(x) = g(x)

       ⇒  2x -2 = x² - 8x +19

      ⇒ x² - 8x +19 -2x +2 =0

   ⇒   x² -10x +21 =0

Step(ii):-

The factors are  x² -10x +21 =0

  ⇒  x² - 7x - 3x +21 =0

 ⇒ x( x-7) -3( x-7) =0

⇒ (x-3)(x-7) =0

    x =3  and x =7

Answer:

d: x=3 and x=7

Step-by-step explanation:

how can i teach an entire year of alg 2 before next school year? i learned nothing this year and i want to take an advanced physics class next year but i’m scared it will affect me if i don’t learn it on my own ://

Answers

Answer:

use khan academy, its a website or an app which a lot of kids which are homeschooled learn education on.

Mark wants to make an enclosure for his cows.
He has 44 metres of fencing.
He wants the width to be 8 metres less than the length.
What dimensions should the field have?
?

Answers

Answer:

the length and width be 15 meters and 7 meters respectively

Step-by-step explanation:

The computation of the dimension of the field is given below;

Let us assume the fencing be p

Length be x

And, the width be x - 8

So,

P = 44

P = x - 8 + x - 8 + x + x

= 4x - 16

Now

4x - 16 = 44

4x = 44 + 16

4x = 60

x = 15

And, the width be 15 - 8 = 7

So, the length and width be 15 meters and 7 meters respectively

What is the easiest way to do the distributive property

Answers

these are steps to help youu do distributive property with variables.
FOIL
Let’s use a random equation
(3x-7)(6x+2)
the F stands for “first”... the 3x is first in its parenthesis. The 6x is the first in its parenthesis. So multiply those. You get 18x^2
The O stand for “outer” the 3x and 2 are the outer. They equal 6x.
the I stand for “inner”. -7 and 6x are the inner parts of the equation. They equal -42x
The L stand for last. The last are -7 and 2. They equal-14.
Put it all together
18x^2+6x-42x-14
18x^2-36x-14

Solve the literal equation for the given variable. Show your work.
A = 1/2 h ( b 1 + b 2 ) for h

Answers

Answer:

n

Step-by-step explanation:

nnn

Answer:

[tex]h = \frac{2a}{b1 + b2} [/tex]

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

solve the inequality 31< 3x+4

Answers

Answer:

31-4<3x

27<3x

9<x

Step-by-step explanation:

answer x>9
step by step explanation:

How come two negatives make a positive, but three negatives makes a negative? Does this have to do with there being an odd/even amounts of negatives and cancelling each other out?

Answers

Okay well work step by step. If there is three negatives, you first want to multiply the first two negatives. Your number will come out positive but you are still left with one more negative. so you will multiply the positive number with the negative number which comes out with a negative number.

Guys help I’ve been trying to solve this problem for the past 40 minutes.

Answers

Answer:

56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.

Rachel has $48 and buys a hoodie for $24. Rachel used the equation 24x = 48 to model her scenario, where x represents the amount of money she has left. After solving her equation, Rachel says the solution x = 2, means that she has $2 left. Is she correct? Why or why not?

Answers

factor 24 of 24X+48
24 (+2)

Answer:

yes because in the equation 24x=48   and 2=x

Step-by-step explanation:

if you multiply x(2)  and 24  it  = 48

A train leaves at 1314 and arrives at 1508. It travelled at an average speed of 105 km/h.
How far did it travel? Give your answer in km to 1DP

Answers

Answer: The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

Answer:

The train traveled 199.5 km

Step-by-step explanation:

We know the relationship:

Distance = Time*Speed

We know that the speed of the train was 105km/h

And we know that it leaves at 13:14, and arrives at 15:08.

Then the total amount of time that the train was traveling is:

T = (15 hours and 8 mins) - (13 hours and 14 mins)

= (15 - 13) hours and (8 - 14) mins

=  2 hours and (-6) mins.

We know that one hour has 60 minutes, then this is equal to:

T = 1 hour and 54 minutes.

But because the speed is kilometers per hour, we need to rewrite the 54 minutes in hours.

This can be done as follows:

1 hour = 60 minutes.

Then: 54 minutes = (54/60) hours = 0.9 hours.

Then:

1 hour and 54 minutes = 1.9 hours.

Now we know the speed and the time, then the distance can be calculated as:

Distance = speed*time = 105km/h*(1.9 h) = 199.5 km

The train traveled 199.5 km

PLS HELP!!! WILL GIVE BRAINLIEST!!!!!!


You are getting a car wash for $45.50. You have to pay 5% sales tax and you want to tip the person who washed your car 20%. How much will you spend in total? Please show work.

Answers

Answer:

$56.88

Step-by-step explanation:

amount paying for sales tax---> $2.28

amount paying for tip---> $9.1

amount paying for car wash---> $45.50

$2.28 + $9.1 + $45.50= $56.88

hope this helps please give brainliest <3

Solve the system of linear equations.
3x— у = 6
— 3х +y= -6

Answers

Answer:

Step-by-step explanation:

Imfinite solutions

I'm stuck on this question and this is my third Time posting about it pls help me look at pic​

Answers

Answer:

m = 11, and the correct equation is m + 7.28 = 18.28

Step-by-step explanation:

First, we need to solve:

0.2*m = 2.20

To do it, we need to divide by 0.2 in both sides:

0.2*m/0.2 = 2.20/0.2

m*(0.2/0.2) = 11

m = 11

Ok, we know the value of m.

Now we need to input the value of m in each one of these 4 equations and see which one is the correct one.

The correct equation is;

m + 7.28 = 18.28

When we replace m by 11, we get:

11 + 7.28 = 18.28

So the equation is correct.

Angle A and Angle B are complementary. If angle A is 48°, what is the measure of angle B?

Answers

Answer:

B = 42°

Step-by-step explanation:

hope it help

plz fo"ow me

The measure of the angle B when angle A and angle b is complementary angle should be 42 degrees.

Calculation of the measure of angle B:

Since

Angle A and Angle B are complementary. And, angle A is 48°.

We know that

The sum of complementary angles is 90 degrees

So it can be like

A + B = 90

48  + B = 90

B = 90 - 48

= 42 degrees

hence, The measure of the angle B when angle A and angle b is complementary angle should be 42 degrees.

Learn more about an angle here: https://brainly.com/question/23854119

For the following linear equation, what are the slope and y intercept
Y=x-3

Answers

Answer:

slope-1 y-intercept-(0,-3)

3x+2y=400
2x+3y=425
What is the value of x and y

Answers

Step by Step explanation:If 2x+3y=425 and 3x+2y=350 find x and y. 1 ... If the sides of a right triangle are 3^2 ,4^2 and Y what are both possible values of y^2? I figured ...

1 answer

Missing: 400 ‎| Must include

find the linear relationships ​

Answers

Answer:

everytime the x goes up by 3, the y goes down by 3

Step-by-step explanation:

X goes up by 3
Y goes down by 3

Help with math problem​

Answers

D is what I got on mine.

How do you calculate the area of a circle​

Answers

Just follow this formula.

Area of a Circle= [tex]\pi R^{2}[/tex]

That means PI Radius Squared

Hope this Helps.

-Northstar

Its best to ask your teacher bc like some people wont answer bc thats hard

-An internatinal call costs $9.35 for 32 minutes. What is the cost per minute?​

Answers

The cost per minute is $0.29

Has anybody done this problem before on Carnegie learning Mathia I’ve been stuck on this problem and I need to turn in this assignment

Answers

Answer:

Conclusion: ◇WAU ≅ ◇JAU

Reason: ASA theorem

Step-by-step explanation:

3. Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select all that apply.
A. 12 + 0.25 ⋅ 12
B. 12(1 + 0.25)
C. 12 ⋅ 1.25
D. 12 ⋅ 0.25
E. 12 + 0.25

Answers

Answer:

A, B, C

Step-by-step explanation:

12+0.25*12=12(1+0.25)=12*1.25

Answer:

B. 12 + 0.25 ⋅ 12

C. 12(1 + 0.25)

Step-by-step explanation:

It asks you how far she walks all together, so you need to find that answer first to figure out the rest correctly. Now, the total she walked is 15 miles. B. and C. give you 15, however, the rest give you different answer than the total she actually walked.

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