In the given figure, line m is parallel to line n, and line a is parallel to line b.

In The Given Figure, Line M Is Parallel To Line N, And Line A Is Parallel To Line B.

Answers

Answer 1

Answer:

vertical angles theorem

Answer 2

Corresponding angles are two or more angles that have similar properties. Thus they have equal measures.

The required prove is given in the explanation below:

Considering the given diagram, it can be observed that:

<1 ≅ <3 and <2 ≅ <4     (vertically opposite angle theorem)

Also,

<5 ≅ < 7 and <6 ≅ <8    (vertically opposite angle theorem)

m ⊥ n and a ⊥ b             (given)

Thus,

<1 + <2 + <3 + <4 = [tex]360^{o}[/tex] (sum of angles at a point)

Also,

<5 + <6 + <7 + <8 = [tex]360^{o}[/tex]  (sum of angles at a point)

Therefore,

<1 ≅ <7                             (corresponding exterior angle property)

Therefore by corresponding exterior angle theorem, <1 ≅ <7.

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Related Questions


Find the value of x in each of the following
a) 5x + 1 = 11
b) 2x - 3 = 2

Answers

Answer:x=2, x=2.5

Step-by-step explanation:

5x+1=11

Subtract 1 from each side

5x=10

Divide each side by 5

x=2

2x-3=2

Add 3 to each side

2x=5

Divide each side by 2

x=2.5

Answer:a)2 .(b) 2.5

Step-by-step explanation:

a) 5x + 1 = 11

Substract 1 from both sides

5x + 1 - 1 = 11 - 1

5x = 10

x = 10/5

x = 2.

b). 2x - 3 = 2

Add 3 to both sides

2x - 3 + 3 = 2 +3

2x = 5

x = 5/2

x = 2.5

Help thanks please
:)

Answers

Answer:

C , 452.16 cm :)

Step-by-step explanation:

good luck

Answer:

452.448

Step-by-step explanation:

HELP PLZ DUR 11;59 plz help me

Answers

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is  [tex]area=\frac{1}{2} *b*h[/tex] , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that [tex]h=6*b[/tex]. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

[tex]300=\frac{1}{2} *b*(6*b)[/tex]

[tex]3b^2=300[/tex]

[tex]b=\sqrt{100} =10[/tex]

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

[tex]300=\frac{1}{2} *10*h[/tex]

[tex]5h=300[/tex]

[tex]h=60[/tex]

The height of the triangle is 60 centimeters.

HELP ANSWER PLZ!!!!!!!!!!!!!!!!!!!!!

Answers

1. 5+3q
2. 5/q-5q
3. q/5+5q
4. 5(q-5)

Hope this helps. Brainliest or Thanks would be appreciated!

Use the graph to predict the number of hours it would take to drive 180 miles.

Answers

it would take 5 hours

Help plz:))) I’ll mark u brainliest

Help plz:))) I’ll mark u brainliest

Help plz:))) I’ll mark u brainliest

Answers

either 37, 17, 20 or 24, 26, 51

Answer:

its C can i get brainliest i only need 1 more

Step-by-step explanation:

which of the following conditions assure that lines are AE and BD are perpendicular

Answers

Answer:

I think option a is correct

Whoever answers correctly gets brainlist.

Answers

Answer:

its 23/36

Step-by-step explanation:

(Pls add an image of the area model and ill give brainliest!! :D)

Solve the division equation below using an area model.

7,436÷ 13 = _____

Answers

7436 ÷ 13 = 572

I didn't understand the rest of the thing u mentioned

What is the constant(K)?
Proportional or Non-Proportional?
х
у
1
5
2
10
3
15
4
20
a
5
b
3
с
2
d
4

Answers

Answer:

a (5)

Step-by-step explanation:

The constant is the same as y/x in a proportional relationship

A) 6
B) 8
C) 12
D) 16

Answers

Answer:

b

Step-by-step explanation:

you would multiply -3/4 by it reciprocal (4/-3) and also multiply -6 by 4/-3 and you would-24/-3 then you would simplify it and get 8 ( a negitive tames an negitve would be a positive)

Hank owed a friend $2.00 then paid back the $2.00. Which of these describes how much Hank owes now?

Answers

Answer:

A

Step-by-step explanation:

If he borrows two dollars that looks like it should be +2 because he has 2 dollars that he didn't have before. But ...

The problem is that he now owes 2 dollars. So the two dollars that he borrowed is wiped out.

+ 2 for the two dollars - 2 when he pays it back. Result 0

+2 - 2 = 0

A

Answer:

I think it's A

Hank paid back the 2$ that he owned his friend so he no longer owes him more money so -2+2=0


3.3 Sam drove from his house to College. When he stopped at College he saw on the instrument panel
of his car that he covered 26.5 km. consider the figure below and answer the following questions
(a) what is the distance converted sam​

Answers

Answer:

question is not complete

Subtract the following polynomials

Answers

Answer:

3.1x x+12.04zx-1.2z.....

Solve for g.!!!!!!!!!!!!!!
2g= w

Answers

Answer:

Step-by-step explanation:

Simplifying

2g = W

Solving

2g = W

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by '2'.

g = 0.5W

Simplifying

g = 0.5W

2x - y = 3 and x+ y = 0

Answers

Answer:

I think this is it.....If not let me know

2x - y = 3

Slope = 2

x - intercept = 3/2 = 1.50000

y - intercept = 3/-1 = -3.0000

x + y = 0

Slope = -2.000/2.000 = -1.000

x - intercept = 0/1 = 0.0000

y - intercept = 0/1 = 0.0000

What is the Mean,Median Mode. 1. 8,3,3,17,9,12,19 2. 11,8,2,5,17,39,52,42​

Answers

19 and 8 is the answer of this question ok

For the parallelogram, if m angle 2=4x-20 and m angle 4=3x-11 find m angle 1. The diagram is not to scale.

Answers

Answer: m angle 1=164°

Step-by-step explanation:

Since the two provided angles are congruent we can make the equation

4x-20=3x-11

Subtract 3x from each side

x-20=-11

Add 20 to each side

x=9

now apply our x to one of the angles

4(9)-20

36-20

16

In a parellelogram all sides added up =360° so if we subtract 16•2 from 360 we can get the sun of the two remaining angles. So 360-32 is 328°. Divide that by 2 to get the angle measure of one of the two angles. 164

Solve for X only in number 4.
Pls help will give the brainliest.

Answers

X=6, if u need anything else lmk!

In August of 2012, Usain Bolt was named the fastest man in the world when he completed a 200-meter race in 19.32 seconds. Assuming he traveled at a constant speed, how much time did he take to run 1 meter?

Answers

Charlidamelio is overrated

Can I please get help plsss

Answers

Answer:

1000 ft/min

Step-by-step explanation:

Rate of change in ft per min is 1000 ft per 1 minute from reading the graph

Given: tanA= -square root 15
What is the value of tan (A-pi/4)?

Answers

Answer:

D

Step-by-step explanation:

The value of tan (A-pi/4) is  (-√(15)- 1) / 1 -√(15).

What is Tan(a - b) Identity in Trigonometry?

One of the trigonometric identities for compound angles is the tan(a-b) identity. When the angle for which the tangent function value is to be determined is supplied in the form of the difference of any two angles, it is used. The compound angle is denoted by the angle (a-b) in the formula for tan(a-b).

Given:

tanA = -square root 15

tanA = -√(15)

To find the value of tan (A-pi/4):

Use the formula,

Tan(a - b) Identity

tan(A-B) = (tanA - tanB) / 1 + (tanAtanB)

Substituting the values,

tan(A-π/4) = (tanA - tanπ/4) / 1 + (tanAtanπ/4)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 + (-√(15)

tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

Therefore, the value is tan(A-π/4) = (-√(15)- 1) / 1 -√(15)

To learn more about the tan(a-b) identity;

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#SPJ2

Simplify: 22w - (-14w)

Answers

Answer:

36w

Step-by-step explanation:

If \triangle BTS\cong\triangle GHD△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m\angle∠S = 56°, m\angle∠B = 21°, and m\angle∠H = (7y + 5)°, find the value of y.

Answers

Given:

△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.

To find:

The value of y.

Solution:

In △BTS,

[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex]        (Angle sum property)

[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]

[tex]m\angle T+77^\circ=180^\circ[/tex]

[tex]m\angle T=180^\circ-77^\circ[/tex]

[tex]m\angle T=103^\circ[/tex]

We have,

[tex]\Delta BTS\cong \Delta GHD[/tex]

So, [tex]\angle T\cong \angle H[/tex]             (By CPCTC)

Then, [tex]m\angle T=m\angle H[/tex]

Now,

[tex]103=7y+5[/tex]

[tex]103-5=7y[/tex]

[tex]98=7y[/tex]

Divide both sides by 7.

[tex]14=y[/tex]

Therefore, the value of y is 14.

Please help as fast as you cannn

Answers

Answer:

-43 < -35

(Negative 43 is less than negative 35).

Determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.
y = 4x + 5
4x + y = -13

Answers

Answer:

They are neither parallel nor perpendicular.

it isn't parallel because they cross

it's not perpendicular because they don't cross at a 90 degree angle

Step-by-step explanation:

Hope this helps you and btw u should download desmos it's an amazing calculator that graphs these things for you!!! hope u have a wonderful day and stay safe and healthy:)))

Which set of numbers includes only whole numbers? Rational Numbers Integers Whole Numbers 7. -4, 5.0​

Answers

Answer:

2, 5, 8, 15

Step-by-step explanation:

The set of whole numbers is: 0, 1, 2, 3, ...

It includes zero but no negative numbers.

Answer: 2, 5, 8, 15

PLEASE ANSWER!!!!!!!!

Answers

Answer

418.2 m

Step-by-step explanation:

The first thing you need to realize to simplify the solving of this question for yourself is that since 5 cm are equal to 25 m, you can convert that into 1 cm is equal to 5 m. With that in mind, you then want to find the area of the rectangle in cm, which would be 6.8 times 12.3, which comes out to be 83.64. All you need to do from there is multiply that by 5, which should give you the answer of 418.2

Dan needs to get to austin as fast as possible. The train leaves at 3pm and can travel at a speed of 60 miles per hour. if austin is 65 miles away, how long will it take dan to get there?

Answers

Answer:

like an hour and some minutes

Step-by-step explanation:

60 miles per HOUR

hour=1

65 miles away

60 miles in 1 hour + 5 miles in sum mins

Each individual letter in TENNESSEE is placed on
a piece of paper in a hat. If one letter is selected at
random from a hat, determine probability that:
15. Letter S is selected
16. A consonant is selected
17. Letter T or N is selected
18. The letter V is not selected
19. The letter W is selected
20. The letter S is not selected

Answers

Answer:

15. [tex]P(S)=\frac{2}{9}[/tex]

16. [tex]P(Consonant)=\frac{5}{9}[/tex]

17. [tex]P(TorN)=\frac{3}{9}[/tex]

18. [tex]P(V)=1[/tex]

19. [tex]P(W)=0[/tex]

20. [tex]P(S)=\frac{7}{9}[/tex]

Answers

15. 2/9 (two ninths)

16. 5/9 (five ninths)

17. 1/3 (one third)

18. 9/9 (nine ninths)

19. 0

20. 7/9 (seven ninths)

Explanations

There are nine letters.

There is one T.

There are 4 E's.

There are two N's.

There are two S's.

15. You know that there are two S's. Two S's out of nine total letters is 2/9. The probability that an S is selected is 2/9.

16. A consonant is a letter that is not a vowel. The consonants in TENNESSEE are T, N, and S. There is one T, two N's, and two S's, meaning there are 5 consonants. Five consonants out of nine total letters is 5/9. The probability that a consonant is selected is 5/9.

17. You know that there is one T and two N's. This is a total of three letters. The probability of getting on of these three letters is 3/9. 3/9 simplified is 1/3. The probability of selecting a T or N is 1/3.

18. You know that there are no V's in TENNESSEE. Therefore, no matter what letter you select, there is a 100% chance you'll get a number that is not V. All nine letters are not the letter V, so the probability of selecting a letter that is not V is 1/1 or 1.

19. You know that there are no W's in TENNESSEE either. Therefore, whichever letter you select, you will not get a W. The chance of selecting a W is 0/9 or 0.

20. There are four S's. That means there are five letters that are not S. These are: T, N, N, S, S. Five letters out of nine letters in total is 5/9. The probability of selecting a number that is not S is 5/9.

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