Given that the two parallel lines are cut by a transversal, and the measure of angle 2 is 50 degrees. Find each of the missing angles.

Given That The Two Parallel Lines Are Cut By A Transversal, And The Measure Of Angle 2 Is 50 Degrees.

Answers

Answer 1

Answer:

Step-by-step explanation:

Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.

m∠2 = 50°

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 50°

m∠1 = 130°

m∠3 = m∠1 = 130° [Vertically opposite angles]

m∠3 + m∠5 = 180° [Consecutive interior angles]

m∠5 = 180° - m∠3

        = 180° - 130°

        = 50°

m∠6 + m∠5 = 180° [Linear pair of angles]

m∠6 = 180° - 50° = 130°

Answer 2

From the given diagram

angle 1= 130 degrees

Angle 3 = 130 degree

Angle 5= 50 degree

Angle 6= 130 degree

Given :

the two parallel lines are cut by a transversal

Angle 1  and angle 2  are linear pair of angles

Sum of angle 1  and angle 2 is 180

[tex]<1+<2=180\\<1+50=180\\<1=180-50\\<1= 130[/tex]

Angle 1  and angle 3 are vertical opposite angles

They are equal

[tex]<1=<3\\130=<3\\<3= 130[/tex]

When two parallel lines are cut by transversal , corresponding angles are equal

<5= <2

<5=50

Alternate exterior angles are congruent

<6=<1

<6=130

angle 1= 130 degrees

Angle 3 = 130 degree

Angle 5= 50 degree

Angle 6= 130 degree

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Related Questions

Write a linear function f with f(2)=−2 and f(1)=1.

Answers

Answer:

f(x) = -3x+b

Someone deleted my answer for no reason. I really don't like it when that happens. Anyway, here's the answer again :)

so my question is that i have -2(p+3)+4p but i dont know what to do​

Answers

Answer:

-2(p+3)+4p = 2p - 6

Step-by-step explanation:

Step 1: Distribute the -2 to the (p) and (3) which equals = -2p-6

Step 2: Combine Like Terms: -2p - 6 +4p --> 2p - 6

The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?

Answers

Answer:

Year - (1993 - 1995)

Step-by-step explanation:

Rate of change in the number of toys sold = [tex]\frac{\text{change in number of toys sold}}{\text{Time interval}}[/tex]

In the interval (1990 - 1993),

Rate of change in number of toys sold = [tex]\frac{32000-20000}{1993-1990}[/tex]

                                                                = [tex]\frac{12000}{3}[/tex]

                                                                = 4000

In the interval (1993 - 1995),

Rate of change = [tex]\frac{42000-32000}{1995-1993}[/tex]

                          = [tex]\frac{10000}{2}[/tex]

                          = 5000

In the interval (2000 - 1995),

Rate of change = [tex]\frac{57000-42000}{2000-1995}[/tex]

                          = [tex]\frac{15000}{5}[/tex]

                          = 3000

In the interval (2006 - 2000),

Rate of change = [tex]\frac{63000-57000}{2006-2000}[/tex]

                          = [tex]\frac{6000}{6}[/tex]

                          = 1000

Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).

Find f(x + 3) if f(x) = 2x - 4

Answers

Here you go!!! Hope this helps

Question 9
V - 15 = -27
Pls find the value of V?

Answers

You add 15 on both sides, in which the 15’s would cancel out.

Then, you’ll have -27+15, to which it equals -12.

Therefore, v = -12

Hope this helps :)

Two dice are rolled. Determine the probability of the following: rolling an even number or doubles

Answers

Answer: If you mean at least one of the dice shows an odd number, then since there's a 0.25 = 0.5 x 0.5 probability of both dice being even, there's a 1 - 0.25 = 0.75 probability at least one of the dice is odd. However.. The probability that the first die is even and the total of the two dice is 8 is 3/36 since (6,2), (2,6), and (4,4) are 3 of the 36 outcomes in which the first die is even and the total is 8. sorry I could only explain, hopefully you can figure it out from here :(

Step-by-step explanation:

Simplify the following by combing like terms.
Зm + 4m — бm
А) 7т
бп
в) 3т — 2n
c) Зm — 2т
D) Зm + 4п — бп

Answers

B. 3M-2N
this is because when you combine 4n and -6n you get -2n

whoever helped me y'all is nice and beautiful

Answers

Answer:

6) round 287 to 300

3*300=900

7) round 1310 to 1000

6*1000=6000

8) round 62 to 60

9*60=540

(sorry i have to go i'll help w/ the rest later!)

Answer:

6. you can round 287 to the nearest 10 which will be 290 so 290 times 3 equals  870

7. round 1,310 to the nearest 100th which is 1,300 so 1,300 times 6 equals 7,800

8. round 62 to the nearest  10th which equals 60 then 60 times 9 equals 540

Step-by-step explanation:

9. round 486 to the nearest 10th which is 490 so 490 times 7 equals 3430 then mark unreasonable

10. round 1,240 to the nearest 100 which will be 1,200 so then 1,200 times 5 equals 6,000 then mark unreasonable

11. round 287 to the nearest tenth which is 290 so then 290 times 5 equals 2610  

2) A snail moving at 3.6 m/h; convert to mm/s

Answers

Answer:

60mm/s

Step-by-step explanation:

Plz give brianliest and push the thanks button

Answer 60mm/s


Snsndndndndndnddn

1/4x - 5 = 3/4x - 12

Answers

Answer:

Solve for x

x=14

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.

Find the equation of the line that is perpendicular to the given line and passes through the given point.

y = − 1/5x − 3; (13, 0)

The equation is y = ???

Answers

Y= -1/5x-3
Y= -1/5x0-3
Y=-3

Find the slope of the line.
Can somebody please help me and/ or explain ?

Answers

Answer:

4/-2

Step-by-step explanation:

Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6  then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2

helppppppppppppppp plssssssssssssssss

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Answer:

hope his helps ...................

A recipe requires 8 cups of baking powder. You can only use 2/3 cups. How many 2/3 cups do you need for the recipe?

Answers

Answer:

Step-by-step explanation:

6/3 is 2 cups.

2/3 times 3 is 2.

12 of the 2/3 cups is your answer

That is my way of thinking. If you want the answer basically you divide 8 by 2/3. When you divide a fraction you multiply by its reciprocal.

8  3   =24   =  12

1   2     2         1

8 times 3/2 is equal to 24/2 or 12

Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
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13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?

Answers

Answer:

the second girl was. 59 seconds faster than the first girl.

Step-by-step explanation:

14.47-13.88= .59

Jill already has saved $20 and she earns $5/hr for babysitting her little sister. The total amount of money she will have can be represented by the equation y = 5x + 20. What is the dependent variable and what does it represent in this problem?

Answers

Answer:

The dependent variable in the variable y, so it is the total cost that's dependent on the hour babysitter. It represent the total amount of money.

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Answers

Answer:

15

Step-by-step explanation:

Lets take the number of songs he download = x

So $1.29x = $20

So "x" = 20/4.29 = 15.5

So songs he can purchase = 15 songs

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Answers

Answer:

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Step-by-step explanation:

just divide 5.86 by 12

Answer:

$0.48

Step-by-step explanation:

$5.86 divided by 12 = 0.48 when rounded to the nearest penny.

A CD player is on sale for $90 at an electronics store. If the original price was $125, what is the percent of discount?

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Answer:

I belive it is 28% off

i believe 72%, because you convert to a fraction getting 90/125 which is 0.72. we convert again and get 72%.

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Answer:

solution

Step-by-step explanation:

solution is the answer

How many
solutions can
an equation
have?I

Answers

Answer:

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.

Catherine is at the Supermarket, and knows that she is 50 yards from her school. The map on her phone shows that the school is \large \frac{3}{4} inch from her current location. If Catherine's current location is 3 inches from home on the same map, how far is Catherine from her home? a 112.5 yards b 200 yards c 250.5 yards d 150 yards

Answers

Answer:

Answer: b 200 yards

Step-by-step explanation:

Scaling

Real magnitudes can be scaled up or down to adapt to the size of a sheet of paper or the screen of a computer or phone.

Catherine knows she is 50 yards from the school and it's shown as a distance of 3/4 inch on her phone map.

We can calculate the scaling factor from the real distance to the map distance by dividing:

[tex]\displaystyle \frac{50}{\frac{3}{4}}=\frac{200}{3}[/tex]

Now she sees that she's 3 inches from home on the same map. This is equivalent to a real distance of:

[tex]\displaystyle 3\cdot \frac{200}{3}=200[/tex]

Catherine is 200 yards from her home.

Answer: b 200 yards

Write the cube root for each number

Answers

Answer:

13. 3

14. 13

15. 17

16. 19

17. 20

18. 10

Step-by-step explanation:

An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postulate that is the most direct way to prove the triangles similar.

Answers

Answer:

Step-by-step explanation:

Right Triangle Similarity

Acute Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .

So, ΔLMN∼ΔXYZ .

Leg-Leg Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

In the figure,  ABPQ=BCQR .

So, ΔABC∼ΔPQR .

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

In the figure, DFST=DESR .

So, ΔDEF∼ΔSRT .

Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.

I'll give brainly thing

Answers

Answer:

THE ANSWER IS B

Answer:

I would say your highlighted answer is the right one but theyres a site called Jiskha that can help better then brainly❤️

Step-by-step explanation:

4 quarts per day. Express this rate of flow in liters per week.

Answers

Answer:

26.49787 or about 26.50 liters.

Step-by-step explanation:

4 quarts = 3.78541 liters

For the week = 3.78541 x 7 = 26.49787

Fill in the value of the absolute value in the blanks below:
a) |-4 =
b) |10| =

Answers

Answer:

a) 4

b) 10

Thank you and please rate me as brainliest as it will help me to level up

does anyone know the answers ???

Answers

Answer:

1) 3

2) -9

3) 12

4) 4

5) -1

Step-by-step explanation:

You have a recipe for coconut cookies. The recipe makes 20 cookies. You need 100 cookies for a bake sale. Increase the recipe proportionally to make 100 cookies.

PLEASE HELPPP!!!!!

Answers

Answer:

A.) 10

B.)2 1/2

C.)3 1/3

D.)1 1/4

E.)6 2/3

Step-by-step explanation:

Multiply each by 5.

* Hope that helped

Ronald Dairo is helping the local indus-
try in promoting papaya rosette. On the first
day, he produces 5,890 pieces of papaya
rosette, 7,020 pieces on the second day
8,150 pieces on the third day, and so on.
How many pieces of papaya rosette can Mr.
Dairo produce in 2 weeks?
As part of the annual Pagdihon Festival.

Answers

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

[tex]a_1 = 5890\\a_2 = 7020\\a_3 = 8150[/tex]

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

[tex]d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130[/tex]

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

[tex]a_n = a_1+(n-1)d[/tex]

Putting the values

[tex]a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n[/tex]

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

[tex]a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580[/tex]

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

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