Two parallel lines are cut by a transversal. What is the measure of angle6 ?

Two Parallel Lines Are Cut By A Transversal. What Is The Measure Of Angle6 ?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Angle 3 and angle 6 are congruent because they are alternate interior angles. Angle 3 plus angle 1 is 180 degrees. So you just subtract 123 from 180 (180-123) and you get 57 degrees.

Answer 2

The measure of angle 6 is 57°

The correct answer is an option (A)

What are parallel lines?

"The lines in the same plane that are at equal distance from each other and never meet."

What is transversal?

"A line that passes through two lines in the same plane at two distinct points in the geometry. "

What are opposite angles?

"The angles directly opposite to each other when two lines intersect in a plane."

For given question,

Line n and line p are parallel lines and line t is the transversal.

Here, angle 1 and angle 4 are opposite angles.

⇒ ∠1 = ∠4

We have been given that ∠1 = 123°

⇒ ∠4 = 123°

Also, angle 4 and angle 6 are interior angles on the same side of the transversal.

We know that each pair of interior angles on the same side of the transversal is supplementary.

⇒ ∠4 + ∠6 = 180°

⇒ 123° + ∠6 = 180°

⇒ ∠6 = 180° - 123°

⇒ ∠6 = 57°

Therefore, the measure of angle 6 is 57°

The correct answer is an option (A)

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Related Questions

SRRY IK LAST QUESTION FOR REAL THIS TIME

Answers

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Write the given linear system without the use of matrices. Assume X = x y z . X' = 7 6 −9 5 1 1 0 −3 4 X + 0 3 1 e6t − 8 0 4 e−3t

Answers

Answer:

X= 3

Step-by-step explanation:

The GCF of 15 and 27 is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer is 3, you can try it. I’m pretty sure it’s correct.

Answer:

the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3

Step-by-step explanation:

(11/18-4/9)+1/6 pemdas fraction

Answers

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

What is PEMDAS Rule?

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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Original: $100, Discount: 13%

Answers

Answer:

Step-by-step explanation:

$87

Need help fastttt anybody

Answers

Answer:

ok look, you gonna learn somethin ight

Step-by-step explanation:

If you want answer you usually wanna put at least 15 or more points invested after grinding points its more worth and more people will go for it instead of 5 points just saying it happened to me to i did a 5 points thing and no-one answered then, I did 50 and I got like 5 people saying NOO I WANTED TO ANSWER so yeah no hate but I'm just saying you can report if you think is mean which I already know is rude to most people and idc really. wasnt copied from e

Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />​

Answers

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

What is the range of the function?

Answers

Answer:

(0, 10)

Step-by-step explanation:

There is a dotted line at the end, therefore, it doesn't keep going so its (0, 10)

If Frank builds a concrete rectangular walkway that is 4 feet wide by 1.5 feet deep, by 20 feet long from the house to the storage shed, what is the volume of concrete used to pave the walkway?

Feet Cubed

Answers

Answer:

120 ft

Step-by-step explanation:

Please review the full explanation below

Answer:

........................................................................................

Step-by-step explanation:

Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?

Answers

Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreases

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

11+x+13=40

Challenge of the day

Answers

Answer:

11+x+13=40

Step 1: Simplify both sides of the equation.

11+x+13=40

(x)+(11+13)=40(Combine Like Terms)

x+24=40

x+24=40

Step 2: Subtract 24 from both sides.

x+24−24=40−24

x=16

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

x + 24 = 40

x = 40 - 24

x = 16

Thus, The value of x is 16

-TheUnknownScientist

3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?

Answers

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

I NEED HELP ASAP PLEASE AND THANK YOU.

Answers

Answer:

C

Step-by-step explanation:

Happy Holidays ❄️☃️

f(x)=2x+3 find the
x-int:
y-int:
Asymptote:
End behavior:
Also put in a table f(x)=2x+3

Answers

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.

What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2

Answers

Answer:

The answer is B, sorry if I'm wrong.

Step-by-step explanation:

Answer:B=17.3 in2

Step-by-step explanation:

a) Solve by determinant method: x - y = 2, 2x + 3y = 4​

Answers

Answer:

x = 2

y = 0

Step-by-step explanation:

x - y = 2

2x + 3y = 4

Using creamers rule of determinants, we have;

D =

|1 1|

|2 3|

Thus; D = (1 × 3) - (1 × 2)

D = 1

Dx =

|2 1|

|4 3|

Dx = (2 × 3) - (1 × 4)

Dx = 2

Dy =

|1 2|

|2 4|

Dy = (1 × 4) - (2 × 2)

Dy = 0

Thus;

x = Dx/D = 2/1

x = 2

y = Dy/D = 0/1

y = 0

tony earns $100 for walking 5 dogs. how much would he earn for each dog​

Answers

Answer:

500

Step-by-step explanation:

Answer:

20$

Step-by-step explanation:

because 20*5 =100 which 20 times 5 is the same thing as adding 20+20

+20+20+20 witch is 20$ per dog he walks. hope this helps!

how do you write 2x simplified?

Answers

Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

please help! it’s due rn

Answers

Answer:

It's 9

Step-by-step explanation:

2x+10=3x+1

-x=-9

x=9

What are the real and imaginary parts of the complex number?

10−7i
The real part:

The imaginary part:

Answers

Answer:

Real: 10

Complex: -7i

Step-by-step explanation:

i is imaginary.

The real part of the complex number is 10 and the imaginary part of the complex number is -7i.

What is complex number?

The complex number is of the form a+ib where a and b are real numbers.

The given number is 10-7i.

Compare the given number with a+ib and determine the values of a and b.

a=10

b=-7

In the complex number, a+ib the real part is a and b is the imaginary part.

So, the real part of the given number is 10 and the imaginary part is -7i.

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which equation represents a linear function?

Answers

Answer:

Equation 3

Step-by-step explanation:

Answer:Equation 3

linear functions dont have exponents

Step-by-step explanation:

Which equation choice could represent the graph show below?

Answers

Answer:

A

Step-by-step explanation:

Hopefully this helps

IM THE COOL KID 121212

Answers

rEaLlYyYyyYyYyyHyYhHhhYuYy
Good for you cool kid. I aspire to be as cool as you.

Select the correct answer.
The graph below represents the following system of inequalities.
y> - 2
y > 21 + 2




Which point (x,y) satisfies the given system of inequalities?
OA (-1,-6)
OB. (1,-6)
OC. (-3,-1)

Answers

The answer is C: (-3,-1)

To test if points satisfy an equation, all you need to do is test the numbers in both of the equations it provides you

Here is proof the answer is C :

y > x - 2

(lets plug in point C)

-1 > -3 - 2

solve

-1 > -5 ?

Yes this statement is true- onto the next inequalitity!

y > 2x + 2

-1 > 2(-3) + 2

solve

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Know we know answer c (-3,-1) is the right answer!

The point (x,y) satisfies the given system of inequalities is C. (-3,-1).

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Given that The graph below represents the following system of inequalities.

y> - 2

y > 21 + 2

So, y > x - 2

Lets plug in point C;

-1 > -3 - 2

solve;

-1 > -5 ?

Yes this statement is true- onto the next inequalitity.

y > 2x + 2

-1 > 2(-3) + 2

solve;

-1 > -6 + 2

-1 > -4 ?

Yes, this inequality is true too!

Therefore, the point (x,y) satisfies the given system of inequalities is C. (-3,-1).

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What is the value of x?
–2x – x + 3 = –12

Answers

Answer:

x = 5

Step-by-step explanation:

-2 -1(coeffcient of -x) = -3

-3x +3 =-12

subtract 3 (the constant) from both sides

cancelling it on the left and leaving -3x = -15

divide each side by -3 leaving x and 5

x = 5

HEEELLLLP GRADES ARE DUE In 4 HOURS



0.13(x + 2000 ) = 6,240
What is x?

Answers

Answer:

4240 is what x is eq to

Step-by-step explanation:

What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)

Answers

Answer:

(0,0)

Step-by-step explanation:

Answer:

0,0 because that’s were it starts at

Step-by-step explanation:

Can i get brainiest think


Find the 6th term of the geometric sequence whose common ratio is
3/2
and whose first term is 2.

Answers

Answer:

-3072

Step-by-step explanation:

A recipe for punch uses 2 cups of grape
juice and 3 cups of orange juice. How many
cups of orange juice are needed if 6 cups of
grape juice are used?

A 7 cups

B 9 cups

C 15 cups

D 30 cups

Answers

Answer:

B 9 cups

Step-by-step explanation:

Grape juice to orange juice ratio is 2:3, for every 2 cups of grape juice 3 cups of orange juice are used.

6/2=3

3 x 3 =9

for every 6 cups of grape juice, 9 cups of orange juice are used

Check for answer by seeing if the ratio matches up.

6:9 simplified is 2:3.

Answer is correct.

Answer: B


Explanation: we can set the formula to 2/3 then find what to multiply the 2 to get 6 which would be three then we multiply three with three and get nine have a nice day (:

Explain how the vertical line test was robes that a relation is not a function.

Answers

The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function. The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value. Cutting or Hitting the Graph at Exactly One Point

If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function. Here are some examples of relations that are NOT functions because they fail the vertical line test.
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