Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion.




a∥b, Converse of the Same-Side Interior Angles Theorem

a∥b, Converse of the Alternate Interior Angles Theorem

a∥b, Converse of the Corresponding Angles Theorem

not enough information to make a conclusion

Given 414, Which Lines, If Any, Must Be Parallel Based On The Given Information? Justify Your Conclusion.ab,

Answers

Answer 1

Answer:

I think It would be B

Step-by-step explanation:

Answer 2

There is a∥b, Converse of the Alternate Interior Angles Theorem, which is the correct answer that would be an option (B).

What are Interior Angles?

Interior angles are defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles.

Given ∠4≅∠14, which lines,

If a transversal connects two parallel lines, we know that the corresponding angles and vertically opposed angles are equivalent.

Therefore,

⇒ ∠15 = ∠3 ...(i) [Corresponding angles]

⇒ ∠15 = ∠13 ...(ii) [Vertically opposite angles]

From equations (i) and (ii), we get

⇒ ∠3 = ∠13    [Alternate interior angles]

Similarly,

⇒ ∠4 = ∠14

Hence, it is proven.

Therefore, we conclude that a∥b, Converse of the Alternate Interior Angles Theorem.

Hence, the correct answer would be an option (B).

Learn more about the Interior Angles here:

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Related Questions

Graph.
y−5=4/3(x−5)
Please help fast

Answers

Answer:

Slope = 4/3

Y-intercept = (0, -5/3)

Step-by-step explanation:

CAN YOU GUYS HELP ME I WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

1 and 2 are corresponding angles, it's B because corresponding angles are always congruent.

In this little picture i drew up 1 and 2 are corresponding. meaning they're in the same places where the transversal crosses both parellel lines. the same goes for angles 3 and 4, 8 and 5, 7 and 6

Angles 3 and 6 are consecutive exterior angles, and those are supplementary, meaning that they add up to 180 degrees. 1 and 5 are the same way

Angles 2 and 8 are consecutive interior angles, and those are also supplementary. angles 7 and 4 are the same way.

Angles 7 and 2 and 8 and 4 you can see those are crossing on the inside, those are called alternate interior angles, and these angles are congruent to one another. meaning that 7 and 2 are congruent to one another, and 8 and 4 are also congruent, or equal to one another

Angles 3 and 5 and 1 and 6 are what as known as Alternate Exterior Angles. Those angles are on the outside part of the intersection and they are congruent if cut by a transversal. meaning that 3 and 5 are equal to one another and so is 1 and 6.

Hope this helped clear it up a bit more. Sorry if i just made you more confused

At Clemmons Middle School, there are 400 students in sixth grade. The ratio of girls to boys is 4:1. How many boys are in the sixth grade?

Answers

Answer:100

Step-by-step explanation: not sure hope it helps

A football player can run an average of 40 yarfs in 5 seconds what is the Unit rate of speed of the football player

Answers

Answer:

8 yards per sec

Step-by-step explanation:

brainliest plz

The temperature increased 18°F between 6 a.m. and 3 p.m. The temperature at 3 p.m. was 75°F. What was the temperature at 6 a.m.?

Answers

Answer:

57

Step-by-step explanation:

A pair of Air Force 1 shoes went from $40 to $48. What is the percent increase for these shoes?

Answers

Answer:

Hi, the price went up by 20%

Hope this helps

Elevator 1 moved up 15 feet from the ground level. Its position is labeled as +15. Elevator 2 moved down 6 feet from the ground level. Its position is labeled as
. (Use the hyphen for negative such as -1) (4 points)

Answers

Answer:

-6

Step-by-step explanation:

if it moved 6 ft below where you started at, the only answer should be -6.

4 Write the equation of a line in slope-intercept form that has a slope of -2 and passes through the point (-1,8

Answers

Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): -2

Point: (-1, 8)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we already know the slope is -2, we can move on to finding the y-intercept. To find the y-intercept, input the values of the slope and the point into the equation format and solve for b:

y = mx + b

8 = -2(-1) + b

8 = 2 + b

6 = b

The y-intercept is 6.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x + 6

WILL MARK BRANIEST: If the magnitude of the block's acceleration is 1.5 m/s2, what is the mass of the block? Show your work. (This is using the block from #22).

Answers

Answer:Answer:

F = 0.84 [N]

Explanation:

In order to solve this problem we must take into account Newton's second law, which tells us that the sum of all forces applied on a body must be equal to the product of the mass of the body by its acceleration.

F = m*a

where:

F = force [N]

a = acceleration = 1.4[m/s^2]

m = mass = 0.6 [kg]

F = 0.6*1.4

F = 0.84 [N]

PLEASE HELP ME THIS IS DUE SOONNN. ILL MAKE IT A LOT OF POINTS AND IF U ANSWER BOTH CORRECTLY ILL GIVE YOU BRAINLIEST PLEASE

Meg receives 10% commission on her first $5000 in sales. She receives 20% commission on any sales beyond the first $5000. (Answer the chart pls)

Bonus: Do the amount of sales and Megs commission form a proportional relationship? Why or why not?

Answers

Answer:

Step-by-step explanation:

3000   600

5000   1000

6000   1200

7500   1500

No it doesn't form a proportional relationship because yes, the ratio is constant AFTER the 5,000, you do need to hit the 5,000 first, and then it changes. So no, it's not proportional because it isn't constant throughout the entirety of the relationship. If you're just going based on the table in question, then yes it will be proportional since it doesn't have the 5,000 in it but if you're looking at it in it's entirety, no it's not.

How many 1/4 cup servings are in 2/3 cup of ice cream

Answers

Answer:

tbh i think u just add 1/4+2/3 so yw

Step-by-step explanation:

hope it helped

CAN SOMEONE PLEASE HELP

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

All of the offered answer choices are dilations. When a figure is dilated about the origin, every individual coordinate is multiplied by the dilation factor.

So, the dilation factor can be found by dividing an image coordinate by the pre-image coordinate.

  I'x/Ix = -3/-2 = 1.5

The dilation is 1.5 about the origin.  . . .  matches C


Solve for x.
Help please

Answers

Answer:

x=10

Step-by-step explanation:

Answer:

I can't give an exact answer but...

Step-by-step explanation:

Try adding all three equations together and make them equal to 180. Then see what X.

So 3x + 11 + 7x - 5 + 9x - 16 = 180

What is the slope- intercept
3x+8y=56

Answers

-3/8x is the slope of the problem. y= -3/8x + 7

PLEASE HELP WILL MARK BRAINLEST

Answers

Answer: B

Step-by-step explanation: Im almost 90%sure, Hope this helps!

Find the area, in square feet, of the smallest square. A-169% A-144/12
A. 5
B. 12
C. 25
D. 125

Answers

The answer should be b

What equation makes this true -3(x-4)+x =2x-12

Answers

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]-3(x - 4) + x = 2x - 12[/tex]

[tex](-3 * x) + (-3 * -4) + x = 2x - 12[/tex]

[tex](-3x) + (12) + x = 2x - 12[/tex]

Step 2:  Combine like terms

[tex](-3x) + (12) + x = 2x - 12[/tex]

[tex](-3x + x) + 12 = 2x - 12[/tex]

[tex](-2x) + 12 = 2x - 12[/tex]

Step 3:  Add 12 to both sides

[tex](-2x) + 12 + 12 = 2x - 12 + 12[/tex]

[tex](-2x) + 24 = 2x[/tex]

Step 4:  Add 2x to both sides

[tex](-2x + 2x) + 24 = 2x + 2x[/tex]

[tex]24 = 4x[/tex]

Step 5:  Divide both sides by 4

[tex](24 / 4) = (4x / 4)[/tex]

[tex](6) = x[/tex]

Answer:  [tex]x = 6[/tex]

If m∠XWY = 20, m∠XWZ = 40, and XY = 16, what is the value of YZ? Three rays extend out from W through X, Y, and Z. Segments are drawn to connect the rays, creating 2 right triangles.

Answers

Answer:

YZ=16

Explanation:

XWY=20 XWZ=40, XWY is half of XWZ, which means ZWY =20. Now you can say that the triangles are congruent through the AAS postulate, so you know that YZ-16 because of CPCTC

The measure of the line segment is 16 units after applying the concept of congruence.

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

m∠XWY = 20, m∠XWZ = 40, and XY = 16

Triangle XWY and Triangle ZWY are congruent triangles

Angle X = Angle Z = 90 degrees

Angle XWY = 20 degrees

Angle YWZ = 20 degrees

Angle Y = Angle Y (By AAA)

XY = YZ

16 = YZ

Thus, the measure of the line segment is 16 units after applying the concept of congruence.

Learn more about the triangle here:

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Write a recursive sequence for the following:
23, 38, 53, 68

Answers

Answer:

11.5,19,26.5,34

Step-by-step explanation:

so here were simplifying the numbers to repeat them,example: 23÷2=11.5

Answer:

An=a+nd

Step-by-step explanation:

23, 38, 53, 68

First term a=23

d=a2-a1

=38-23=15

For n term

An=a+(n-1)d

For n+1 term

An=a+nd

There are 8 boxes, which contain a total of 64 sweaters, In a store warehouse. If the store needs 48 sweaters, how many boxes should they take.​

Answers

Answer:

6 boxes

Step-by-step explanation:

64 sweaters ---------> 8 boxes

48 sweaters ---------> 8 * 48/64 boxes

48 sweaters ---------> 6 boxes.

Hope it helps!!!

Answer:

6 boxes

Step-by-step explanation:

Divide the total number of sweaters by the number of boxes there are. The answer lets us know how many sweaters are in each box.

64 / 8 = 8

Now, we can divide 48 sweaters by how many sweaters are in each box. This answer lets us know how many boxes they should take.

48 / 8 = 6

In a reunion 80 people have Canadian passports, 95 have US passports and 15 do
not have any passport. If here are 140 people in the reunion, how many of them
have dual passports (US and Canadian?) Solve the problem by first formulating an
equation
Please enter the numerical value of your answer with two decimal digits. Do not
enter any other symbols.

Answers

The answer would be 45.3! Hope this helps you!

If m_1= 53°, what is mz3?

Answers

Answer:

143°

Step-by-step explanation:

m<1 = 53°

m<2 = 180 - 53 - 90 = 180 - 143 = 37°

So, m<3 = 180 - 37 = 143°

The transfer of heat by direct contact is called 1 vibrating molecules 2 kinetic energy 3 conduction 4 radiation​

Answers

Answer:

3- conduction

Step-by-step explanation:

Please help!!!!!!!!!

Answers

A) you’re flipping the triangle over the y axis... so you would the same shape just flipped

B) reflection (I think)

ill give brainliest to the first person who answers correctly
How many solutions does this equation have?

–5d + 6 = 6 − 5d

Answers

Answer:

Infinite

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

its 0 beacause there is no solution

I will give a Step by step solution to this equation

Let's solve your equation step-by-step.

−5d + 6 = 6 −5d

Step 1: Simplify both sides of the equation.

−5d + 6 = 6 −5d

−5d + 6 = 6 + −5d

−5d + 6 = −5d + 6

Step 2: Add 5d to both sides.

−5d + 6 + 5d = −5d + 6 + 5d

6 = 6

Step 3: Subtract 6 from both sides.

6 − 6 = 6 − 6

0 = 0

Answer:

0

At Will's Swimwear, 25% of the 24 swimsuit styles are bikinis. How many bikini styles are there?

Answers

Answer:42

Step-by-step explanation:

Answer:

6 bikini styles

Step-by-step explanation:

I divided 24 by 4.

A ski hat is on sale for $15 with 25% off. What is the
discounted price of the ski hat?

Answers

$3.75 would be the answer. Also if you want to find percentages just put the dollar amount into a calculator and then multiply it by 0. And then the number of the percentage

hello! what is the GCF of 65 and 75?? I need the answer ASAP as I'm currently doing a quiz! If you answer it would mean a lot :)

Answers

Answer:

its 5?

Step-by-step explanation:

Plz help me with this!!!!!!

Answers

Answer: scalene right

Step-by-step explanation:

Which of the following represents the probability of 3 successes in 5 trials?
a. 3C5P(S)*P(775
c. 3C5P(S)?P(A15
b. 5C3P(S)3P(F2
d. 5C3P(S)3P(F)5

Answers

Answer: option B: 5C3P(S)3P(F)2

Step-by-step explanation:

correct on Edge 2020

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