The sketch shows two parallel lines cut by a transversal. Which pair of angles are alternate interior angles?

A) Angle 1 and angle 4

B) Angle 5 and angle 4

C) Angle 6 and angle 4

D) Angle 8 and angle 4

Answer:

maybe 23

Step-by-step explanation:

Answer:

40 degrees

Step-by-step explanation:

75 + 65 = 140

The sum of all of the angles of a triangle equals 180

180-140 = 40

We are given:                                                                                                        

AB = 7x + 10

BD = 9x - 2

∠DBC = 9y - 9

∠ABC = 90°

AB = BD

Solving for x:                                                                                                          

We are given that AB = BD

7x + 10 = 9x - 2               [since AB = 7x+10 and BD = 9x-2]

10 = 2x - 2                       [subtracting 7x from both sides]

2x = 12                            [adding 2 on both sides]

x = 6                               [dividing both sides by 2]

Hence, x = 6

Solving for y:_______________________________________________  

We know that AD is a straight line,

So, ∠ABC and ∠DBC must form a linear pair

∠ABC + ∠DBC = 180°

90 + 9y-9 = 180

9y - 9 = 90             [subtracting 90 from both sides]

9y = 99                  [adding 9 on both sides]

y = 11                      [dividing both sides by 9]

Hence, y = 11

Answer:

k is 2, l=2√5, m=8√5

Step-by-step explanation:

Triangle MNO is half size of the triangle LON

Answer:

not similar bcs side are not in ratio

Answer:

area models

Step-by-step explanation:

an area modle is something to model area

Answer:

1. round

2. associative property of multiplication

3. commutative property of multiplication

4. mixed number

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer: 18

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

you do 1/1 which is 1. because the line is negative, the answer is -1

Answer:4 tacos for 3.40 dollars

Step-by-step explanation:

Answer:

Ur seriously taking Charles Geometry exam, and post the question here

Step-by-step explanation: Since ur so desperate by asking here evelyn, the answer is D since monica can only throw 75 feet and John is 70 feet away from her.

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Answer:

-6x-14 is the answer. Thx.

Step-by-step explanation:

-3(2x+4)-2

6x-4-2

6x-6

Answer:

cos a = -1.28 and 0.78

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

Hence cos a = -1.28 and 0.78

Answer:

A

Step-by-step explanation:

its the most logical one to me

Answer:

A

Step-by-step explanation:

Answer:

Ahhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Thx fa free points susta

Answer:

Step-by-step explanation:

Answer:

Im not too sure what the question is

Step-by-step explanation:

but when finding the percent of any number, 10% will always move the decimal over to the left once. So 10% of 300 is 30.0 This also works for 1%, you just move the decimal over twice. So 1% of 300 is 3

Answer:

rational

Step-by-step explanation:

This could be written as a fraction

Answer:

m=-1/3

Step-by-step explanation

y2=2,y1=5  ,  x2=10  , x1= 1

m=y2-y1/x2-x1

m=2-5/10-1

m=-1/3

3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.

Answer:

The First Graph (top left)

Step-by-step explanation:

bottom left: y = 3x

top right: y = 2x

bottom right: y = 3x

The top left is the only correct one

1. C

2. A

3.B

4.D

Step-by-step explanation:

A,B,C,D are the possible answers in order. 1,2,3,4 are the questions in order. 1. n is greater than or equal to 4 means that n's value is larger than 4 or 4. so it would be greater than with a line underneath. 2. n is less then 4. this means n's value is any real number less than 4. so it would be n is less than 4. n is less than or equal to 4 means that it can be any real number less than 4 or 4 itself, so it would be n is less than 4 with a line underneath. process of elimination leaves just 1 answer for 4

Answer:

The answer is Graph Data

Answer:

The scores are as follows:

Caroline Castways = 72

Raleigh Rockets = 24

Step-by-step explanation:

Let c be the Castways score and r be the Raleigh Rocket’s score

Then

According to given statements, the equations will be:

[tex]c+r = 96\\r = \frac{1}{3}c[/tex]

From equation 2

[tex]3r=c[/tex]

Putting c = 3r in equation 1

[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]

Putting the value of r in equation 2

[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]

Hence,

The scores are as follows:

Caroline Castways = 72

Raleigh Rockets = 24

Answer:

(0,2) and (2,5)

Step-by-step explanation: