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

How many 3-digit number can you write with only 4 and 7?

Answers

Answer:

8 numbers

Step-by-step explanation:

447

477

474

774

744

747

777

444

what is the result if you decrease the sum of 78.932 and 721.832 by 389.823 pls

Answers

Answer:

410.941

Step-by-step explanation:

48=16 p what Is p ? Please help

Answers

Answer:

p = 3

Step-by-step explanation:

48 = 16p

divide both sides by 16

3 = p

The bill for Mr. Wilson’s diner meal is $25.50. As a tip, Mr. Wilson gives the server 20% of the meal’s cost. What is the total amount Mr. Wilson’s pays, including tip?

Answers

Answer:

$30.60

Step-by-step explanation:

What we know:

The bill for Mr. Wilson's diner meal is $25.50.

He gives a 20% tip to the waiter.

To figure out this tip, multiply 1/5 by 25.5.

1/5 * 51/2

51/10 = $5.10 tip.

Here, it's asking for the total, including the $5.10 tip. So, add $5.10 to $25.50 for $30.60 total, including the tip.

(For a simpler method *multiply 6/5 by $25.5)

The cost of a gallon of orange juice is $3,50, What is the maximum number of containers you can buy for $15

Answers

23 is the maximum since 350 divided by 23

25% discount for AED 4000

Answers

Answer:

The 25% discount on AED 4000 will be: 1000 AED

Step-by-step explanation:

Given

The amount = 4000Discount = 25%

In order to determine a 25% discount on the amount AED 4000, all we need means is to multiply 25/100 or (0.25) by 4000.

i.e

Discount amount = 25% of 4000

                             = 25/100 × 4000

                             = 0.25 × 4000

                             = 1000 AED

Thus, the 25% discount on AED 4000 will be: 1000 AED

Find the area of a rectangle with a length of 17 centimeters and a width of 6 centimeters.

Answers

Answer:

102 cm ²

Step-by-step explanation:

Need help pls help thanks

Answers

Answer:

your right

Step-by-step explanation:

What is the solution set for 3x−(x+2)≤4x−4 ? ​x≥1​ ​ ​x≤−2​ ​ ​ ​x≤−6​ ​ ​x≥3

Answers

Answer:

x>1 (the first one)

Step-by-step explanation:

Please help!!
How do you do this?

Write a system of inequalities to describe the
shaded region.

Answers

Answer:

In Explanation.

Step-by-step explanation:

In situations like this, you want to first find the equations of the individual lines.

Let's start with the left one.

It has a negative slope of 2 while it has a y-intercept of 1

y=-2x+1

is the equation.

The other line has a slope of 3/2.

The y-intercept is not visible, so we need to use point slope form.

I chose (2,-3)

y+3=3/2(x-2)

Simplify.

y=3x/2-3-3

y=3x/2-6

so we have

y=-2x+1

and

y=[tex]\frac{3x}{2}[/tex]-6

Since both lines are solid, the signs are ≥ or ≤

The shadings intersect above both lines so the individual shadings also have to be above the line.

That means the equation is less than the "y".

y≥-2x+1

y≥[tex]\frac{3x}{2}[/tex]-6


four hundred thirty-seven
ten-thousandths in decimal form

Answers

Answer:

0.0437

Step-by-step explanation:

I can't really explain this one

Answer:

.0437

Step-by-step explanation:

the 4 is in the hundreds spot, the 37 is in the thousands and ten thousandths


Find the percent of decrease. Round the percent to the neares
amount of decrease: 20 pounds
original amount: 80 pounds

Answers

Answer:

75% decrease

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/percentage-decrease-calculator.php?v_1=80&v_2=20&action=solve

Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant
speed of 6 miles per hour, and Jada jogs at a constant speed of 3 miles per hour. After an hour, what percentage of
of the 12 miles will Elena travel? What about Jada?

Answers

Answer:

the answer is 1.5 hrs

Step-by-step explanation:

if your qouestion is Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour. How long does it take until Elena and Jada meet?

WILL MARK BRAINLIEST IF CORRECT ANSWER! HOW MANY SOLUTIONS???

Answers

The answer is 1 solution which is x=1

What is the base when the expression (-1.5)2 • (3.2)5 is written as a single power of 5?

Answers

we can rewrite:

(-1.5)²*(3.2)⁵ = 3.76⁵

The new base of the expression is 3.76

What is the new base of the expression?

Here we have the expression:

(-1.5)²*(3.2)⁵

And we want to write this as a single expression with a power of 5.

First we can rewrite:

(-1.5)² = x⁵

x = (-1.5)^(2/5)

Then the new base of the expression will be:

x*3.2

(-1.5)^(2/5)*3.2 = 3.76

Then we can rewrite:

(-1.5)²*(3.2)⁵ = 3.76⁵

The new base of the expression is 3.76

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2. Complete the truth table for the statement S ^ P.
S P S ^ P T T T F F T F F

Answers

Answer:

Step-by-step explanation:

33. Vega makes a map of a park located on her street, using a coordinate system with yards as the units. The gate of the park is at position (–1, 1) and a park bench is at (1, 2). How far apart are the gate and the bench? Find the lengths of the legs of the right triangle from the coordinates and then apply the Pythagorean Theorem

Answers

The lengths of the legs of the right triangle from the coordinates will be 2.24 units.

What is the distance between two points?

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

Vega uses a coordinate system using yards as the units to create a map of a park that is situated on her street. A park seat is located at position (-1, 1) and the park gate is located at (1, 2).

Then the lengths of the legs of the right triangle from the coordinates will be

D² = (1 + 1)² + (2 - 1)²

D² = 2² + 1²

D² = 4 + 1

D² = 5

D = √5

D = 2.24 units

The lengths of the legs of the right triangle from the coordinates will be 2.24 units.

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In a bag of marbles, 24% were green, 18% were purple, and the rest were yellow. If the bag has 150 marbles, how many were yellow?

Answers

Answer:

87

Step-by-step explanation:

24+18 = 42

100-42 = 58 so 58% of the marbles are yellow

58% of 150 is 87

87 yellow marbles

Answer:

87

Step-by-step explanation:

.24 x 150 then subtract the product from 150

.18 x 150 then subtract the product from the answer above

= 87

What is the value of x in the equation 2x +3y = 36, when y=6?
O9
O 27
O 36

Answers

Answer:

x=9

Step-by-step explanation:

Substitution and solving

[tex]2x+3y=36\\2x+3(6)=36\\2x+18=36\\2x+18-18=36-18\\36/2=2x/2\\x=9[/tex]

your answer is 9.
explanation: when plugging in 6 to 3y you get 18. 3(6)=18. from there you have 2x+18=36. subtract 18 on both sides. 36-18. you get 18. then divide 18 by 2 and you get 9.

.The values of x and y vary directly, and mul
when x = 48, y = 36. Find the value of x when
y = 18

Answers

Step-by-step explanation:

In the general scenario we find thaf x exceeds y by 12. If they vary directly it means even though the values x and y change they will always have the constant different 12

x=y+12

:. x=18+12

x=30

I HOPE THIS HELPS

Find the slope of the line from the table.
X
1
4
7
10
у
7
5
3
1
1

Answers

the slope would be ten ❤️

If a bass drum has a diameter of 3 feet, which of these represents C, the circumference of the drum?

Answers

Answer:

9.42

Step-by-step explanation:

C= 2 times pie times radius

can anyone help me ?

Answers

Answer: i think u got it write its that one

Step-by-step explanation:

The scores on a test given to all juniors in a school district are normally distributed with a mean of 77 and a standard deviation of 8.

Find the percent of juniors whose score is between 61 and 77.

The percent of juniors whose score is between 61 and the mean is

There are no options

Answers

Answer:

I ate my dog yesterday and I couldn't find him so I had to buried him, so do you think you could help me find him

Step-by-step explanation:

Answer:

i need the same answer please someone give itttttttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

Beinggreat78, you are ~Summoned~

Answers

Answer:

B.

Step-by-step explanation:

0.32 > 0.304 > 0.03

Work and answers are provided in the screenshot attached! :)

In the formula l=P•r•t what does r stand for

Answers

Answer:

It stands for rate

Step-by-step explanation:

Rate: the percent that interest is paid annually as a decimal.

Find the value of x in the isosceles triangle shown below.
5
4

Answers

Answer:

x = √29

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = 4/2 = 2

           b = 5

           c = x

plugin values into the formula:

2² + 5² = x²

x = √(2² + 5²)

x = √29

The length of the side x of the isosceles triangle is x = √29 units

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

The measure of side AB = AC = x

The measure of BC = 4 units

Now , let AD be the perpendicular bisector of the triangle and AD = 5 units

where the measure of BD = measure of CD

And , right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the measure of x = √ ( AD )² + ( BD )²

x = √ ( 25 ) + ( 4 )

x = √29 units

Hence , the length of side of triangle is x = √29 units

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i am a number between 40 and 50. when divided by 8, i have a remainder of 3. what number am i?

Answers

Answer:

43

Step-by-step explanation:

43 divided by 8 is 5.375!

Write the equation for line L in point-slope form and slope-intercept form
L is perpendicular to y=2x

Answers

The equation of the line in slope intercept form is y = - 1 / 2 x - 5

The equation of the line in point slope form is (y + 4) = - 1 / 2 (x + 2)

How to represent equation in slope intercept form and point slope form?

The equation in a slope intercept form is represented as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's find the equation of the line L in slope intercept form.

The line L is perpendicular to y = 2x

Hence,

m₁m₂ = -1

2m₂ = -1

m₂ = -1 / 2

Therefore,

y = - 1 / 2 x + b

let's find b using (-2, -4)

-4 = - 1 / 2 (-2) + b

b = -4 - 1

b = -5

Hence, the equation of the line in slope intercept form is as follows:

y = - 1 / 2 x - 5

The equation of the line in point slope form is represented as follows:

(y - y₁) = m(x - x₁)

where

m = slopex₁ and y₁ are the coordinates

Therefore, using (-2, -4),

(y + 4) = - 1 / 2 (x + 2)

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If you have an equation 2/7m= 14, what is the quickest way to get rid of the fraction?
A. Multiply by which means to multiply by 2 and divide by 7
B. Subtract 2/7
C.Divide by 2/7
D. Multiply by which means to multiply by 7 and divide by 2

Answers

A I think it seems reasonable
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