Line l and line m intersect.
Prove: ∡1 ≅ ∡3

Line L And Line M Intersect.Prove: 1 3

Answers

Answer 1

Answer:

l & m intersect

2 & 3 are supplementary

1 & 3 are congruent

Step-by-step explanation:

Answer 2

The proof of expression"∡1 ≅ ∡3" is given below.

The complete flow chart is given in the attached image.

As per the provided diagram and the given information "Line l and line m intersect", the proof of the required statement can be done in the following steps.

Step 1:

Given: Line l and line m intersect.

Step 2:

∠1 is supplementary to ∠2

From the property of linear pair theorem.

Step 3:

∠2 is supplementary to ∠3

From the property of linear pair theorem.

Step 4:

As per the property of congruent supplements theorem,

∠1 ≅ ∠3

The complete chart is given below.

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Line L And Line M Intersect.Prove: 1 3

Related Questions

if you put 25ml of concentration in a glass, how much water should be added

Answers

Answer:

50 ml

Step-by-step explanation:

50 ml

HELP PLS 100 POINTS PLS BRAINLY IF CAN
find the domain y=[tex]\frac{2-3x}{12-|x-12|}[/tex]

Answers

Step-by-step explanation:

hope you can understand

PLS HELP ME ASAP!! TEN POINTS!!! Select each correct answer.

Answers

Answer:

It's 3

Step-by-step explanation:

if you go to desmos graphing calculator it'll help you get the solutions for these if you type it in every number and letter and for exponents type ^ its shift then type 6.

What is the value of the expression

(12+x) +
4+x


when X= 4 and y=-8?

OA) 4

OB)

OC)

OD 10

Answers

Step-by-step explanation:

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Question

Bookmark

The value of the expression x

4

−8x

3

+18x

2

−8x+2, when x=2+

3

, is:

Medium

Solution

verified

Verified by Toppr

Correct option is B)

Let f(x)=x

4

−8x

3

+18x

2

−8x+2

Substituting x=2+

3

, we get

f(2+

3

)=(2+

3

)

4

−8(2+

3

)

3

+18(2+

3

)

2

−8(2+

3

)+2

=(2+

3

)

2

((2+

3

)

2

+18)−8(2+

3

)((2+

3

)

2

+1)+2

=(7+4

3

)(4

3

+25)−8(2+

3

)(8+4

3

)+2

=175+48−128−96+2

=1

Hence, option B is correct.

Amy and Laura recorded the average gas mileage (MPG) of their vehicles each week for four weeks. What can be concluded about the relationships shown in the graph and table?

Amy and Laura recorded the same gas mileage each week.
Both Amy and Laura increased their gas mileage in the first two weeks.
Amy had greater gas mileage than Laura.
Laura had a constant gas mileage in the first four weeks of data.

Who runs fastest?

When do Andy and Berta cross paths?

Who is closest to the 1.5 mile mark after 6 minutes?

Answers

Both Amy and Laura increased their gas mileage in the first two weeks.

Option B is the correct answer.

The missing graph is attached with the answer.

What is a Graph ?

A graph is a statistical way of showing data , it is used to show relation between the points.

A graph is useful in understanding the nature of a function.

From the data given in the question

The statements that can be concluded is , Option B

Both Amy and Laura increased their gas mileage in the first two weeks.

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A boardwalk game of chance costs $1 to play. You have a 25% chance of winning $1 back, a 20% chance of winning $2
(your $1 back, plus an additional $1), and a 10% chance to win $5 (a gain of $4). What is the expected value of playing
the game if you lose your bet 45% of the time?
A. -$1.00
B. -$0.25
C.-$0.15
D. $0.15

Answers

Answer:

the answer is c

Step-by-step explanation:

find the distance around one-fifth of a circle with diameter of 14 inches

Answers

To solve this problem, you will need to know the formula to find the circumference of a circle given the diameter of a circle. After calculating the circumference, you will then divide this result by 5 to obtain the final answer needed for this problem.

Find the Circumference

The circumference of a circle is found using the formula C = 2πr.

[tex]C = 2\pi r[/tex]

We are given the diameter. The radius can be found using r = D/2.

[tex]\displaystyle r=\frac{D}{2}[/tex]

[tex]\displaystyle r=\frac{14}{2}[/tex]

[tex]r=7[/tex]

Plug in the radius to the formula for a circle's circumference: C = 2πr.

[tex]C = 2 \pi (7)[/tex]

Rearrange the equation to distribute the 7 into the 2π.

[tex]C = 7(2\pi)[/tex]

Distribute the 7.

[tex]C=14\pi[/tex]

Find One-Fifth of the Distance

To find one-fifth of the distance (formally termed the circumference) around the circle, divide the circumference by 5.

[tex]\displaystyle \frac{14\pi}{5}[/tex]

If you are looking for a simplified answer in terms of π, this will suffice. If you need an exact answer that does not reference π, continue reading.

For a solution not in terms of π, first, multiply 14 by π.

[tex]14\times\pi = 43.98229715[/tex]

Divide this value by 5.

[tex]\displaystyle \frac{43.98229715}{5} = 8.7964594[/tex]

To make this easier to present, round to the hundredths place.

[tex]8.7964594 \approx 8.80[/tex]

The final answer, dependent on the value you are asked to provide, is:

[tex]{\boxed{\displaystyle \frac{14\pi}{5} \ \text{inches}}[/tex]

[tex]\boxed{\text{approximately} \ 8.8 \ \text{inches}}[/tex]

Transportation officials tell us that 60% of drivers wear seat belts while driving. Find the probability that more than 562 drivers in a sample of 900 drivers wear seat belts.

Answers

The  probability that more than 562 drivers is 0.9328

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given: p = 0.60

n = 900

Let X denote the number of drivers that wear a seat belt,

P(X > 562)

[tex]\mu[/tex] = n*p = 900(0.60) = 540

[tex]\sigma^{2}[/tex]= n*p*(1-p)

=900*0.60*0.40

=216

P(X >562) = Pr( Z > 1.4976)

                = 0.9328

Hence, the probability that more than 562 drivers is 0.9328

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Question is the attachment

Answers

If both pipes are opened. Then the number of hours to fill up the tank fully is 100 hours.

The complete question is attached below.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Let t be the filling time.

Then we have

Time is inversely proportional to rate of filling tank.

1/20 – 1/25 = 1/t

0.05 - 0.04 = 1/t

          0.01 = 1/t

                t = 1/0.01

                t = 100 hours

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What is 6289 round off to the nearest 1000 (thousand)????

Answers

Answer:

6230 will be answer I think

Mark me as Brainliest

Answer:

Well, it's to the nearest thousand, and we know that 6289 is 6 thousand 2 hundred and 89. So, you look at the number next to the thousand which is the hundreds, and as we can see that is 2. Therefore it will be 6000, as 6289 cannot be rounded to 7000 since 2 doesn't exceed 5.

So, the answer is 6000

(I don't mind being marked brainliest for this I'd just like to help someone. :)

In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period.

PLS HELP ME

Answers

Slope of the given data is 579.88

What is Slope?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Here, given data;

            x₁ = 2009                   y₁ = 12078 burger

            x₂ = 2017                    y₂ = 16717 burger

Now, Slope = (y₂ - y₁)/(x₂ - x₁)

         Slope = (16717 - 12078) / (2017 - 2009)

         Slope = 4639 / 8

         Slope = 579.88

Thus, Slope of the given data is 579.88

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Please answer! Will give the brainliest!

Answers

It’s j (0) because if it’s nobody then it goes in the box outside the circles

Answer: K. 3

Step-by-step explanation:

There are 30 students in total. What I did is I added everything that was in the Venn diagram and subtracted that from 30.

[tex]12+5+10=27[/tex]

[tex]30-27=3[/tex]

Therefore, there are 3 students who didn't like either English or math.

I hope this helps! Pls give brainliest!! :)

Evaluate.
-|a+bl
2-c
when a = 1, b = -2, and c = -7
Enter your answer as a simplified fraction in the box.

Answers

Answer:

-9

Step-by-step explanation:

-|1-2|2+7

-|-1|9

-9×1

-9

Find the distance between the parallel lines y=x-5 and y=x+6

Answers

Answer:

11

Step-by-step explanation:

i don't know

Sid makes a graph for estimating the y-value.He wants to compare it to the table before he turns it in. Do the table and the graph represent the same function?

Answers

Answer:

No

Step-by-step explanation:

The graph and the table do not show the same function as none of the y values on the graph correspond to the y values on the table.


A school is arranging a field trip to the zoo. The school spends 737.38 dollars on passes for 44
students and 2 teachers. The school also spends 393.36 dollars on lunch for just the students.
How much money was spent on a pass and lunch for each student?

Answers

Step-by-step explanation:

since there is no other information, we have to assume that the prices for student passes and teacher passes are the same.

therefore, the pass price per person is

$737.38 / (44 + 2) = $737.38 / 46 = $16.03

and the lunch costs per student are

$393.36 / 44 = $8.94

altogether,

$16.03 + $8.94 = $24.97

was spent for each student.

List all the factors of 66 from least to greatest.

Answers

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66. Out of these factors, the greatest factor of 66. The next highest factor other than 66 is 33. A number which is three more than 33 is 33 + 3 = 36.

46. Machine A produces 500 springs a day. The number of defective springs produced by this machine each day is recorded for 60 days. Based on the distribution given below, what is the expected value of the number of defective springs produced by Machine A in any single day?

F. 0.00
G. 0.45
H. 0.70
J. 1.00
K. 1.50​

Answers

Answer:

G. 0.45

Step-by-step explanation:

To find expected value, you simply multiply the value of each outcome (the numbers in the left column) by its probability

(the numbers in the right column) and then add them all together.

0(0.7) + 1(0.2) + 2(0.05) + 3(0.05)

0 + 0.2 + 0.1 + 0.15 = 0.3 + 0.15 = 0.45

The expected value is 0.45. Thus, the correct option is G.

What is the expected value?

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

The expected value is calculated as,

E(x) = 0 x 0.70 + 1 x 0.20 + 2 x 0.05 + 3 x 0.05

E(x) = 0 + 0.20 + 0.10 + 0.15

E(x) = 0.45

Thus, the correct option is G.

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Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more daisies than roses.

how much did the roses cost?

Answers

Answer:

20

Step-by-step explanation:

Answer:

20$ For the Roses

Step-by-step explanation:

Think about it like this. For each daisy (1$), the price is double for roses (2$).

Brad has a limit of 33$. And he bought 3 more daisies than roses.

If each daisy is 1$, and he bought 3+ over roses, take away 3$ to get 30$. If he bought 10 (excluding 3+) Daisies, He must have bought 10 roses.

(10 Daisies = 10$) + (10 Roses = 20$) = 30$

30$ + (3 Daisies = 3$) = 33$

Question 4(Multiple Choice Worth 4 points)
Which of the following is a rational number?
√1. √2. √3, √5
O√1
O √2
O√3
√√5

Answers

Answer:

1

Step-by-step explanation:

The square root of 1 is 1 so it is a rational number while others are irrational

Which of the following equations would correspond to a conic section formed when a plane intersects a cone parallel to the base?

x2 + y2 = 32
x squared over 2 squared plus y squared over 3 squared equals 1
x2 = 8y
x squared over 2 squared minus y squared over 3 squared equals 1

Answers

The equation of the circle, ellipse, and hyperbola will be x² + y² = 3², x² + y² / 3² = 1, and x² / 2² - y² / 3² = 1, respectively.

What is the conic section?

The curve that is derived from the section of the cone is known as conic section.

The following equations are given below.

x² + y² = 3², this is the equation of the circle.

x² + y² / 3² = 1, this is the equation of the ellipse.

x² / 2² - y² / 3² = 1, this is the equation of the hyperbola.

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THE
^
Solve: x=4+(4x-4)
O
O
O
x = 2
x = 10
x = 2 or x = 10
Ono real solution
DONE

Answers

Answer: x=0

Step-by-step explanation:

[tex]x=4+(4x-4)\\\\x=4+4x-4\\\\x=4x\\\\3x=0\\\\\boxed{x=0}[/tex]

The solution to the equation x = 4 + (x + 4) is 0.

The correct option is "one real solution".

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Expanding the expression on the right-hand side, we have:

x = 4 + (4x - 4)

x = 4x

Subtracting 4x from both sides, we get:

x - 4x = 0

-3x = 0

Dividing both sides by -3, we get:

x = 0

Therefore, there is one solution to the equation x = 4 + (4x - 4) as the equation simplifies to 0.

So the correct answer is 0, "one real solution".

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What is the slope of the line (14,0), (2, -6)

Answers

Answer:

1/2 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:-

The slope of the line is = 0.5

Given that:-

one point is =(14,0)

other is =(2,-6)

Solution:-

We can easily solve the question by the formula of a straight line.

The slope is = 0-(-6)/(14-2)

= 1/2

When we're solving minimum or maximum problems, are we h or the constant k? looking for the constant​

Answers

In solving minimum and maximum problems, result we are looking for would be the constant, k.

What is being solved for in minimum and maximum problems?

When looking for the minimum functional value, we are looking for the constant, k because it can be thought of as the absolute minimum value.

An open parabola would then have k as the maximum functional value which means that the constant k is the value being sought.

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You are choosing between two different cell phone plans. The first plan charges a rate of
21 cents per minute. The second plan charges a monthly fee of $44.95 plus 11 cents per
minute. How many minutes would you have to use in a month in order for the second
plan to be preferable?

Answers

Answer:

at least 450 minutes

Step-by-step explanation:

Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.

Let x = number of minutes.

First plan:

cost (in dollars) = 0.21x

Second plan:

cost (in dollars) = 0.11x + 44.95

Set the expressions equal:

0.21x = 0.11x + 44.95

Subtract 0.11x from both sides.

0.1x = 44.95

Divide both sides by 0.1

x = 44.95/0.1

x = 449.5

Since you cannot have a fraction of a minute, the answer is 450 minutes.

|4x + 7| − 4 = 20
Can anyone help me with this

Answers

Answer:

x = -31/4  or x = 17/4

Step-by-step explanation:

|4x + 7| − 4 = 20

⇔ |4x + 7| − 4 + 4 = 20 + 4

⇔ |4x + 7| = 24

⇔ 4x + 7 = 24  or 4x + 7 = -24

⇔ 4x = 24 - 7 or 4x = -24 - 7

⇔ 4x = 17 or 4x = -31

⇔ x = 17/4 or x = -31/4

Answer:

x = [tex]\frac{17}{4}[/tex]    (17/4 = 4.25)

or x =  [tex]-\frac{31}{4}[/tex]  (-31/4 = -7.75)

Step-by-step explanation:

| | is notation for absolute value

absolute value - the distance that a number is from 0

> essentially, you can think of absolute value as the "positive version" of whatever is inside of the | |

if we have | x | = 20, we could really have (without the | | ) two versions of x

either | x | = 20  ; or | -x | = 20  {because a negative x inside of the | | has the same value as positive x}

we set this up as two equations:

x = 20        or         -x = 20

                                ^ {multiply by -1}

x = 20  or   x = -20

now, let's plug our understanding into the equation

|4x + 7| - 4 = 20

first, we should simplify our equation to:

|4x + 7| - 4 = 20

           + 4   + 4

 |4x + 7|   =   24

now, let's separate this absolute value equation into two separate equations:

4x + 7 = 24:

      - 7    - 7  {subtract 7 from both sides to isolate x}

4x = 17

÷4  ÷4        {divide both sides by 4 to get 1x}

x= [tex]\frac{17}{4}[/tex]

or,

4x + 7 = -24:

      - 7    -7   {subtract 7 from both sides to isolate x}

4x     =    -31

÷4           ÷4   {divide both sides by 4 to get 1x}

 x = [tex]-\frac{31}{4}[/tex]

so, we know that

x = [tex]\frac{17}{4}[/tex]    (17/4 = 4.25)

or x =  [tex]-\frac{31}{4}[/tex]  (-31/4 = -7.75)

hope this helps!!

Which of the following is the midpoint between (6, 3) and (-2, -5)

Answers

Answer:

( 2, -1)

Step-by-step explanation:

(X1 + X2)/2 , (Y1 + Y2)/2

(6-2)/2 , (3-5)/2

4/2 , -2/2

2 , -1

Answer:

(2, -1)

Step-by-step explanation:

(x1, y1)=(6, 3)

(x2, y2)=(-2, -5)

[(6+(-2))/2, (3+(-5))/2]

=(4/2, -2/2)

=(2, -1)

the funtions f(x) and g(x) are shown on the graph f(x)=x^2
what is g(x)?

Answers

Answer:

C

Step-by-step explanation:

A reflection of a graph on the x axis simply adds the opposite sign to the x^2, in this case, since f(x) = x^2 is positive, a reflection would mean that g(x) would be -x^2. As g(x) is also vertically translated down 2 units, the equation would then become g(x) = -x^2 - 2 and the correct answer would be C.

Find the GCF of 12a and 18a²

Answers

The GCF of those two numbers is 6a

Answer:

6

Step-by-step explanation:

the blue factors are all the factors 12 and 18 have in common.

What are the coordinates of point F?

On a coordinate plane, point F is 4 units to the right and 2.5 units down.
(Negative 4, Negative 2 and one-half)
(Negative 4, 2 and one-half)
(4, negative 2 and one-half)
(4, 2 and one-half)

Answers

The coordinates of point F are 4 and negative 2.5. Option C is correct.

What is the best way to understand the Cartesian coordinate plane?

A Cartesian coordinate plane is a two-dimensional plane with infinite dimensions. On an endless 2d plane, any two-dimensional figure may be drawn. A location is assigned to each point on a Cartesian plane.

It is the perpendicular distance between that point and the horizontal and vertical axes, which are commonly referred to as the x-axis and y-axis.

The location is then written as (a,b), where 'a' is the point's shortest distance from the y-axis, 'b' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x-axis.

'c' is the point's shortest distance from the x-axis, and 'c' is the point's shortest distance from the x.

The coordinates of point F are 4 and negative 2.5.

Hence, the Option C is correct.

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