If a transversal intersects two parallel lines then find the ratio of the number of pairs of alternate angles to the number of pairs of corresponding angles so formed

Answers

Answer 1
Hint: Starting with drawing a diagram using
all the information given in the question.
Assume two parallel lines as 'm' and 'n'.
And name all the angles formed by the
intersection of transverse with parallel
lines. Use the property that says that the
corresponding angles and opposite angles
are equal for a pair of parallel lines.
Combine the two hence formed equations
to get the required relationship.
Complete step-by-step answer:
Here in this problem, we are given two
parallel lines and a transversal intersects it.
Now within this situation, we need to prove
that each pair of alternate angles is equal.
Before starting with the solution to the
above problem, we must draw a figure
using all the information given to us.
Alternate angles are the two angles, other lines.
So according to the above figure, we
assumed that the two parallel lines be 'm
and 'n' with one transverse cutting both of
them at two points and forming eight
angles named as <1, <2, <3, <4, <5, <6,<7 and
<8
Here we need to prove that the pair
alternate angles, i.e. <3=<5 and <4=26
As we know that the corresponding angles
between two parallel lines are equal in
measure. A corresponding angle is the
angles that occupy the same relative
position at each intersection where a
straight line crosses two others.
i.e. <2=<6,<1= <5,43=<7 and <4=<8
•(i)
Also, the opposite angles formed in the
intersection of two lines are equal in
measure,
i.e. <1=43,42= <4,46= <8 and <5=<7
.. (11)
From relation (i) and (li), we can write two
pairs as <2=<6 and <2=<4 we can say <6=<4
Similarly, if we take two pairs from (i) and (li)
aS <1=<5
and <1=<3
From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=45 and <4=<6
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the From these above equations, we can
conclude that <3=<5
Therefore, we get the required relation
<3=25 and <4=26
Hence, we proved that the alternate angles
of two parallel lines intersected by a
transverse are equal in measure.
Note: Remember that the original problem
was to prove that the alternate angles are
equal for two parallel lines and an
intersecting transverse. We here used our
assumption of two lines 'm' and 'n' and a
transverse using a figure. Naming the
angles formed on the intersection of these
lines helped us to form the relations and
equations. Questions like this method are
always useful. An alternative approach can
be to use the theorem that says that the
sum of interior angles on the same side is
supplementary

Related Questions

-)) The green marble is closer to the target than the white marble. The purple marble is
closer to the target than the green marble, and the white marble is closer to the target than
the blue marble. The purple marble is not farther from the target than the white marble.
Which marble is farthest from the target?
the purple marble
the blue marble
the green marble
the white marble

Answers

Should be the blue marble

2th grade Student 1+1=11?!? my teacher told me that

Answers

Answer:

Not much sure if this is a joke but 1+1 is 2 not 11.

Step-by-step explanation:

I hope I helped.

Have a great day ;)

3480 divided by 29 what is the answer that its asked

Answers

120 is the correct answer to your equation have an nice day

Answer:

120

Step-by-step explanation:

To be honest I just looked it up.

Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R.

Answers

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

9c+4=-23 solve for x

Answers

9x + 4 = -23
9x = -23 - 4
9x = -27
x = -27/9
x = -3

ANSWER: x = -3
Ok done. Thank to me :>

∠HOA appears to be a right angle.
true or false

Answers

Answer:

False!

Step-by-step explanation:

Right angles are 90 degrees, for example EOA appears to be closer to a right angle but not HOA

Comparing Theater Sales
I need help A.S.A.P!!!

Answers

Step-by-step explanation:

oh come on ! you can see that with common sense : it is 2)

while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.

and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).

as I keep saying : never trust a statistic you have not falsified yourself ...

A video game that normally sells for $80 is on sale for 60 what is the percent of discount for the sale price

Answers

Answer:

20% discount

Step-by-step explanation:

HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE

Answers

60.
half of the 40 is 20 so 3/2 of the area is 60

John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease

Answers

Answer:

40 i think

Step-by-step explanation:

10 < 2 - d solve for d

Answers

10 < 2 - d

10 - 2 > -d

8 > - d. When dividing with negative the sign switches so..


d > -8

Hope this helps!
Brainliest is much appreciated!

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

Can someone plz help me?

Answers

Answer: C

Pt. C is at coordinate point (2,1)

The distance between A and C is 4 units (or boxes).

Qui est grand 0 ou -2,5

Answers

Answer:

0

Step-by-step explanation:

positive numbers are always bigger than negative numbers

The value of y varies directly with x.
When y=3, x=1.
What is the value of y when x is 4?
12
3/4
4 1/3
8

Answers

Answer:

12

Step-by-step explanation:

x = 1 y = 3, x = 2 y = 6, x = 3 y = 9, x = 4 y = 12

Answer:

12

Step-by-step explanation:

if x=1 , y =3

if x=4 then y=3×4=12

y=12

CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).

Answers

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.

1.

Solve using traditional division: 7,925 divided by 25.

Answers

It’s 317 I know that bc I got it right when I had that question

Solve x/2 - 8 = y for x

Answers

Answer:

B) x=2y + 16

Step-by-step explanation:

First, you'd multiply the x/2 by 2 to get x by itself.

You do the same throughout the whole equation.

Then isolate the x by getting rid of the -16 to the other side by adding 16

Your final answer should be:

B) x=2y + 16

The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.

What is the equation?

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

x/2 - 8 = y

Add 8 both sides,

x/2 - 8 + 8 = y + 8

x/2 = y + 8

Multiply by 2 both sides,

x/2 × 2 = (8 + y) × 2

x = 2y + 16

Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".

For more about the equation,

brainly.com/question/10413253

#SPJ2

HELP PLS!!
Adding and subtracting vectors in component form

Answers

Answers:u+v = <3,12> w+g = <7,0> g-z = <2,4> v-u = <9,4> y+v = <7,9> u+v+y = <4,13>

===================================================

Explanation:

Problem 1

If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us

u+v = <a+c,b+d>

The corresponding coordinates pair up and add together.

In this case we have

u = <-3,4>

v = <6,8>

So,

u+v = <-3+6,4+8>

u+v = <3,12>

---------------------

Problem 2

We follow the same idea as the previous problem.

w = <8,-1>

g = <-1,1>

w+g = <8+(-1),-1+1>

w+g = <7,0>

---------------------

Problem 3

Similar to addition, subtracting vectors has us subtract the corresponding coordinates.

The general template is:

u = <a,b>

v = <c,d>

u-v = <a-c,b-d>

With this in mind, we can say the following:

g = <-1,1>

z = <-3,-3>

g-z = <-1-(-3),1-(-3)>

g-z = <-1+3,1+3>

g-z = <2,4>

---------------------

Problem 4

Follow the same idea as problem 3 above.

v = <6,8>

u = <-3,4>

v-u = <6-(-3),8-4>

v-u = <6+3,8-4>

v-u = <9,4>

---------------------

Problem 5

Refer to problem 1.

y = <1,1>

v = <6,8>

y+v = <1+6,1+8>

y+v = <7,9>

---------------------

Problem 6

u = <-3,4>

h = v+y = y+v = <7,9>

u+v+y = u + h

u+v+y = <-3,4> + <7,9>

u+v+y = <-3+7,4+9>

u+v+y = <4,13>

Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.

Give the coordinates of the point P without using any new variable.​

Answers

Answer:

Step-by-step explanation:

C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).

divide 2(1+2)
No calculator, if u use something bad, will happen to u

Answers

The answer would be 6.

what is the modulus of the complex number -4+3i

Answers

The modulus of the complex number -4+3i is 5.

Complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit,

A complex number is a number of the form a + bi, where a and b are real numbers.

The modulus (z) of a complex number x + iy is given by:

z = √(x² + y²)

The modulus of the complex number -4+3i is:

[tex]z=\sqrt{(-4)^2+3^2} =\sqrt{25}=5[/tex]

Find out more on complex number at: https://brainly.com/question/2218826

help please anybody Pls​

Answers

Answer:

the 2nd one and the 3rd one

Step-by-step explanation:

hope this helps

^PLZ HELP, I NEED IT BY TODAY!!! (PART B and PART C only) PLZ THANKS

Answers

Part B (Taxi):

12 miles = 0.5 miles + (115×0.1) miles

Rate: $2.40 + (115×0.20)

         = $25.40

Total cost (with tip): $25.40 + $2

                               = $27.40

20 miles = 0.5 miles + (195×0.1) miles

Rate: $2.40 + (195×0.20)

         = $41.40

Total cost (with tip): $41.40 + $2

                               = $43.40

50 miles = 0.5 miles + (495×0.1) miles

Rate: $2.40 + (495×0.20)

         = $101.40

Total cost (with tip): $101.40 + $2

                               = $103.40

Part B (Uber):

12 miles (rate) = $1 + ($1.05×12)

                        = $13.60

Total cost (with tip): $13.60 + $2

                               = $15.60

20 miles (rate) = $1 + ($1.05×20)

                         = $22

Total cost (with tip): $22 + $2

                               = $24

50 miles (rate) = $1 + ($1.05×50)

                        = $53.50

Total cost (with tip): $53.50 + $2

                               = $55.50

Part C

Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

135

Step-by-step explanation:

bc its the right answer

Answer:

the answer is 138.57 so ur answer would be 135

Step-by-step explanation:

Which of the following is a reason to establish a good credit history?

Answers

Where are the options

Is 92.248 an integer? Yes or no

Answers

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

Solve for x
−4x+60<72 OR 14x+11<−31

Answers

Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

equivalent ratio tables​

Answers

Answer:

11, 44, 24

Step-by-step explanation:

On the right side column you are adding 11 every time you add 4 on the left side column

For example :

4:11

8:22

12:33

16:44

20:55

24:66

Hope this helps!!! :)))

Determine if the two triangles are congruent. State how you know

-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The two triangles are congruent by ~

B.) HL congruency criteria

Because each triangle have a right angle (90°), a pair of equal sides and their hypotenuse are equal as well, because they have a common hypotenuse ~

I hope it helps ~

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Which binomial is a factor of 100x2 – 49?
a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Answers

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

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