Given ABC=65 and BCD=105. Is it possible that Line AB intersects line CD​

Answers

Answer 1

Given:

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

To find:

Whether it is possible that Line AB intersects line CD​.

Solution:

We have,

[tex]m\angle ABC=65^\circ[/tex]

[tex]m\angle BCD=105^\circ[/tex]

The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.

If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.

[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]

[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]

[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]

So, the lines AB and CD are not parallel to each other.

Therefore, the intersection of lines AB and CD is possible.


Related Questions

HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM

Answers

Answer:

17.6 miles

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 3^2 = c^2

49 + 9 = c^2

c^2 = 58

sqrt rt 58 = 7.6

Perimeter = 7 + 3 + 7.6

Perimeter = 17.6

Therefore, the perimeter is 17.6

Please answer this and simplify

Answers

Answer:

volume = x(x+2)(2x+1) = 2x^3+5x^2+2x

a = 2

b = 3

c = 5

d = 2

e = 2

f = 1

Volume=x(x+2)(2x+1)=2x3+5x2+2x

A=2.

B=3

C=5

D=2

E=2

F=1

A rectangle has an area of 104 cm2 and a width
that measures 8 cm. Find the perimeter of the
rectangle.

Answers

Answer:

42 cm

Step-by-step explanation:

104/8 = 13

13 + 13 + 8 + 8 = 42 cm

What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11​

Answers

Answer:

mateweew ans is 12

The mode is the value that appears most frequently in a data set.

and 12 repeats twice other once so anw is obv 12

Answer: 12

Step-by-step explanation:

A shopkeeper marked price of a radio is rupees 5000 is sold it allowing a discount of 10% and made a profit of rupees 500 find the cost price of the radio​

Answers

the cost price of radio is Rs.4450.

Find the scale factor where the pre-image is the small triangle and the image is the large triangle.

Answers

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to pre image

scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D

Which greatest digit should replace m so that the number 10m6415 is divisible by 11

Answers

The answer is to ur question is 8

Answer:

Step-by-step explanation:

Sum of digits of rank even - sum of digits of rank odd  must be a multiple of 11

(5+4+m+1)-(1+6+0)=11*k

10+m-7=11*k

3+m=11*k

m=8

Proof: 1086415/11=98765

which of the following is equal to the rational expression when X ≠ 2 or 1?

Answers

Answer:

[tex]\frac{x+5}{x-2}[/tex]

Step-by-step explanation:

Identify the slope and y-intercept: y = -x + 13 y help mee please​

Answers

Answer:

slope : -1, y-intercept : 13

Step-by-step explanation:

-x = -1 times x

+13 = 13 = y-intercept

Answer:

This equation is in slope intercept form, y=mx+b, where m is the slope and b is the y intercept.

So, the slope is -1 and the y intercept is 13.

Hope this helps!

Find tan 0 if sin 0 = 1/2
is in the second quadrant.

Answers

sin O = 1/2 = p/h

p=1, h = 2.

by pythagoras tgeorem,

b =

[tex] \sqrt{3} [/tex]

tan0= p/b

[tex]1 \div \sqrt{3} [/tex]

PLEASE HELP ME ASAP!!​

Answers

Answer:

(0.5, 0.5)

Step-by-step explanation:

Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

The points are:

A(-2, 4)C(3, -3)

[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]

Therefore, the midpoint between A and C is located at (0.5, 0.5).

a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?

Answers

hi

it a cube so it's height,length and width are the same.

if volume is 112 so one if this measure is : 112^(1÷3) =4,82

Find the area of the triangle with sides 40, 50, and 60.

a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units

Answers

I think it’s B I don’t know that’s my guess

The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?
A.
4x – 2y = –6
B.
y = 2x – 5
C.
y = 3x + 4
D.
2x + y = –1

Answers

Answer:

i think the answer is y = 3x + 4

Step-by-step explanation:

:)

Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.

Answers

Answer: $420

Step-by-step explanation:

40% of 1st year commission

1st year commission is $1050

40% x 1050 = .40 x 1050 = 420

$420

hello! HELP NEEEDED!!!!!!!!!!!

Answers

Answer:

$2.50

Step-by-step explanation:

Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .

Set up proportion.

[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]

[tex]2.5 x = 6.25[/tex]

[tex]x = 2.5[/tex]

it takes 2 dollar and 50 cents for 1 lb of ground chuck

Answer:

$2.50

Step-by-step explanation:

In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb


What is the midpoint of PQ?

Answers

Answer:

I think it is (2,0)

Step-by-step explanation:

Because in it 2 lies in the mid of x either y

Answer: (2,0)

Explanation:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case:
((-4+8)/2, (6+(-6))/2)
= (2,0)

Hope this helps!

A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that the marble selected is blue is:

Answers

Step-by-step explanation:

the probability will be  amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.

A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.


Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723

Answers

Answer:

y = -26.059x + 722.63

Step-by-step explanation:

The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.

How to illustrate the equation?

It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.

To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.

Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.

In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.

Learn more about equations on:

https://brainly.com/question/13763238

#SPJ2

Write the sentence as an equation.

351 is 59 subtracted from m

Answers

Is means equal to.

59 subtracted from m would be m-59

Answer: 351 = m - 59

It takes 5 minutes for 10 people to drink 25 pints of water. At this rate, how long would it take 15 people to drink 155 pints of water

Answers

Answer:

the time taken for the 15 people to drink 155 pints is 20.67 min.

Step-by-step explanation:

Given;

10 people took 5 mins to drink 25 pints of water

[tex]The \ rate\ for \ 10 \ people = \frac{25 \ pints }{5 \ mins} = 5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 1 \ person = \frac{5}{10} \ \frac{pints}{\min} = 0.5 \ \frac{pints}{\min} \\\\The \ rate \ for \ 15 \ people = 15( 0.5 \ \frac{pints}{\min} )= 7.5 \ \frac{pints}{\min} \\\\Time \ taken \ for \ the \ 15 \ people \ to \ drink \ 155 \ pints = \frac{155 \ pints}{7.5 \ pints/ \min} \\\\= 20.67 \min[/tex]

Therefore, the time taken for the 15 people to drink 155 pints is 20.67 min.

What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP

Answers

Answer:

(-12,-6)

Step-by-step explanation:

A translation 5 units to the left (x-5)

And 4 units down ( y-4)

(-7-5, -2-4)

(-12,-6)

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

1) x=6,    2) x=13

Step-by-step explanation:

N tells about in a math question

Answers

Answer:

N means Natural Number in Maths

Step-by-step explanation:

N=natural,Z=integer,R=real number

Correct answer gets 5 stars and brainliest

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle ,we can use the Pythagorean theorem

a^2+b^2 = c^2

a^2 + 5^2 = 13^2

a^2 +25 = 169

Subtract 25 from each side

a^2 = 169-25

a^2 = 144

Taking the square root of each side

sqrt(a^2) =sqrt(144)

a = 12

Please help I’ll give brainliest if you explain.

Answers

Answer:

B

Step-by-step explanation:

there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4

Find the value of x. Round
the nearest tenth.

Answers

Answer:

x = 13.5

Step-by-step explanation:

We need to use the law of sines

sin 27      sin 34

-------  = --------

11            x

Using cross products

x sin 27 = 11 sin 34

x = 11 sin 34/ sin 27

x=13.54901

To the nearest tenth

x = 13.5

Which equation represents a line which is parallel to the line y=7/6x−6?
7y-6x= -14
6x + 7y = 56
7x + 6y = 18
7x - 6y = -48​

Answers

Answer:

6x+7y=56

Step-by-step explanation:

In order to have an equation that is parallel to another the slopes multiplied by one another must equal -1. In this case, the first slope is [tex]\frac{7}{6}[/tex] . So [tex]\frac{7}{6}[/tex]×what = -1

Normally you can just flip the numerator and denominator and add the opposite sign. So we can do that here. [tex]-\frac{6}{7} *\frac{7}{6} =-1[/tex]. So the equation should have [tex]-\frac{6}{7}[/tex].

But none of the answers obviously have that slope. If you try the second one, which looks different from the rest and will give you a negative x when you subtract it from both sides. Then you can divide by 7, you get [tex]y=-\frac{6}{7}x +8[/tex].

HE:LPPP

5 divided by -3

Answers

Answer:

-5/3

Step-by-step explanation:

5 ➗ -3

=> 5/-3

=> -5/3 or -1.66667

5 divided by -3=1.666666666666667

Name the property shown by the statement 2a = a2

Answers

Distributive property

screenshot if you need more words. seems to be a well illustrated and compact explanation right there

Other Questions
Symbolism is ____________________a.an expression, practice, or usage of cultural characteristics.b.the likeness of someone,usually painted or sculpted.c.a memorial, a lasting remembrance, evidence by displaying another image in its place.d.the art of using symbols, or having symbolic meaning.Please select the best answer from the choices provided A city has a population of 350,000 peopleSuppose that each year the population grows by 7.75%What will the population be after 6 years Use the calculator provided and round your answer to the nearest whole number prime factorization of a 4- digit number with at least three distinct factorsNeed two examples. SHOW ALL STEPS Which of the following are structures of thelymphatic system? Check all that apply.HeartBone MarrowThymusSpleenBlood VesselsTonsilsAdenoids i need help with these questions. anyone down to help me ?please As soon as they entered the railway coach, the train streamed away. (begin no sooner) According to What Makes History Usable?, what did looking at multiple narratives help students in Detroit do? Choose the best answer. Please help!!!!! Im using Plato Need help answering this please. And thank you StartMonthly, Juan's net earnings are $6,000, and expenses are $5,500. If Juansaves the difference, how much will Juan have saved after 10 years?3-0-0 XYZ is considering two alternatives: repairing a damaged van or selling it as is and buying a comparable used van. Information related to this decision is provided below: Initial cost of the damaged van $30,000 Accumulated depreciation to date on van $18,000 Salvage value of the damaged van $ 1,000 Cost to repair damaged van $ 5,000 Cost of a comparable used van $10,000 Based on the information above, XYZ would be financially better off: Group of answer choices A4.60pf capacitor that is initially uncharged is connected in series with a 7.50kohms resistor and an emf source with E=125V and negligible internal resistance. Just after the circuit is completed, what are; a. The voltage drop across the capacitor b. The voltage drop across the resistor c. The charge on the capacitor d. The current through the resistor e. Turning a corner at a typical large intersection in a city means driving your car through a circular arc with a radius of about 25 m. if the maximum advisable acceleration of your vehicle through a turn on wet pavement is 0.40 times the free-fall acceleration, what is the maximum speed at which you should drive through this turn? What is the frequency of the graph of y = 1/3 sin(2x)? What is Reagans message in this passage from his speech? The suffering and the emotional cost of the Holocaust must be remembered. The best way to remember the Holocaust is to focus on statistics related to this time period. We must forget the survivors of the Holocaust to let them live the rest of their lives in peace. Need help on this question asap pleasee Os fatores peso, tempo, fluncia e espao esto sempre juntos nos movimentos . Olhando a imagem quais fatores voc consegue identificar? Existe o FATOR PESO? Em que momento? When there is plenty of oxygen available in the muscles, the condition is referred to as being: Your cousin has been selected to be a member of the Student Council in her school. Write a letter to your cousin, congratulating him/her and giving him/her advice on how he/she could perform his/her duties well and live up to the expectations of his /her teachers convert 2.4 milimetres into metre