Why lines e and f must be parallel

Why Lines E And F Must Be Parallel

Answers

Answer 1
Answer: B, same side interior angle theorem
The rule is that the two inner angles on the same side of the transversal should add up to 180 degrees

Related Questions

15 POINTS PLS HELP MATHEMATICS

7(2e−1)−3=6+6e

Solve for e

Answers

Answer:

e=2

Step-by-step explanation:

7(2e−1)−3=6+6e

Distribute

14e -7 -3 = 6+6e

14e -10 = 6+6e

Subtract 6e from each side

14e-6e -10 = 6+6e-6e

8e -10 =6

Add 10 to each side

8e -10+10 = 6+10

8e = 16

Divide by 8

8e/8 = 16/8

e=2

Surds see attached 20 points

Answers

Answer:

[tex]5\sqrt{2} \\45[/tex]

Step-by-step explanation:

just multiply

Answer:

a) 5√2

b) 135

Step-by-step explanation:

√5·√10 is equivalent to √50, which in turn is equivalent to √25·√2, or 5√2.

√27·√75 can be simplified by factoring:

√3·√9·√3√25, or (because √3·√3 = 3):

(3)(9)(5) = 135

a rectangle has an area of 186m2
one of the sides is 3m in length
work out the perimeter of the rectangle
seriously need help

Answers

Step-by-step explanation:

here is the ans

the perimeter= 130m

hope so this might help you

A university professor asked his class of 42 students when they had studied for his class the previous weekend. There responses were. please answer part a, b and c

Answers

ANSWERS:

a) 16 students

b) 25 students

c) 2 students

STEP BY STEP:

There are 42 students in total. This question can be solved by "Principal of Inclusion and Exclusion"

Question a)

The students that studied on Sunday in total with overlaps is 30. To figure out the students that ONLY studied on Sunday you need to first minus the overlaps in the combos:

the combos:

3, 10, 6, 2

Since the last combo included all of the other dates, we need to minus it:

1, 8, 4, 2

Now we can use the total of Sunday and minus the combos that includes Sunday:

30 - (4 + 2 + 8)  = 16 students

Question b)

To figure out all the students that only studied on ONE day, not 2 not 3, just one day. We need to figure out the students that studied for Saturday and Friday using the same method before for figuring out Sunday:

Friday: 9 - 4 - 1 -2 = 2 students

Saturday: 18 - 1 - 2- 8 = 7 students

and now add them all together: 2 + 7 + 16 = 25 students

That is the total number of students that studied on one day.

Question c)

Now for the numbers of students that didn't study... We can just use the total to minus everything else!

42 - (25 + 1 + 4 + 8 + 2) = 2 students!!!

And thats all done!  If you still don't get it, please ask!

Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete reached a distance of 24.25 feet.

Answers

Answer:

Step-by-step explanation:

first athlete =28.65

second athlete=24.25

the first athlete jump - second athlete jump

28.65-24.25

= 4.40

the first athlete long jump then the second athlete

Calculate the mean of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3

Answers

Answer:

6.22

Explanation:

add up all the numbers, then divide by how many numbers there are

Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch.

Answers

Answer:

[tex]{ \bf{formular : \: { \tt{volume = \frac{4}{3} \pi {r}^{3} }}}} \\ { \tt{volume = \frac{4}{3} \times 3.14 \times {( \frac{5}{2}) }^{3} }} \\ { \tt{volume = 65.4 \: cubic \: inches}}[/tex]

Answer:

65

Step-by-step explanation:

formula =   4/3 * 3.14* r^3

               = 4/3 * 3.14 * 2.5^3 (radius is half of the diameter)

                    = 65.44985

                     rounded to 65

Two more than four times a number.
2+4x=15

Answers

Answer:

13/4

Step-by-step explanation:

Subtract 2 from both sides. Now we have 4x=13. Divide by 4. We have our answer: x=13/4.

13/4 your welcome I hope you do good

What is the perpendicular height of a cone that has a base with a diameter of 14 cm and whose sides make an angle of 72 with the horizontal?

Answers

the answer is 21.5 cm

Ms. Patel has 24 students in her class. When she collected yesterday's homework, Ms. Patel found that 16 students completed the homework in
pencil and 8 students used a pen.
What is the probability that the first two assignments Ms. Patel collected were completed in pencil?

Answers

Answer:

Maybe

1/8 is the probability that the first two assignments Ms.patel collected were completed in pencil

write the equation of a line of a line passing through the points (3,1) and (6,3).​

Answers

Answer:

i think its 2 1

Step-by-step explanation:

Answer:

y =2/3x-1

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3-1)/ (6-3)

   = 2/3

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 2/3x +b

Using a point

3 = 2/3(6)+b

3 = 4+b

3-4 =b

-1=b

y =2/3x-1

8x+15≤51 slove.PLEASE HELP MEEEEEEEEEEEEEEE

Answers

Answer:

x≤9/2

Step-by-step explanation:

8x+15≤51

Subtract 15

8x+15-15≤51-15

8x+≤36

Divide by 8

8x/8≤36/8

x≤9/2

The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees

Answers

Given that,

The angles in a triangle are represented by x, x+10, and x+50.

We had to,

find the measure of the largest angle.

Let's start to solve,

→ x + (x+10) + (x+50) = 180°

→ x + x + x = 180° (-50 -10)

→ 3x = 180° -60

→ 3x = 120

→ x = 120/3

→ x = 40°

Then the value of x + 10,

→ x + 10

→ 40 + 10

→ 50°

Then the value of x + 50,

→ x + 50

→ 40 + 50

→ 90°

The measure of the largest angle is,

→ D. 90 degrees

Hence, option (D) is correct answer.

Step-by-step explanation:

good of you and good workings

A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P=0.006A2−0.02A+120. Find the age of a man whose normal blood pressure measures 126 mmHg.



Round your answer to the nearest year.

Answers

Answer:

33 years

Step-by-step explanation:

Given the quadratic model :

P=0.006A2−0.02A+120

P = blood pressure ; A = Age

Given a blood pressure value of 126 mmHg ; the age, A will be ;

The equation becomes :

126 = 0.006A2−0.02A+120

0.006A² - 0.02A + 120 - 126 = 0

0.006A² - 0.02A - 6 = 0

Using the quadratic formula :

-b ± (√b²-4ac) / 2a

a = 0.006 ; b = - 0.02 ; c = - 6

Using calculator :

The roots are :

a = 33.333 or a = - 30

Age cannot be negative, hence, the age, A will be 33.333

Total the nearest year ; Age = 33 years

If a concrete mix contains 1-1/2 cubic feet of gravel, 1/2 cubic foot of water,
1 cubic foot of cement, and 2 cubic feet of sand, what percentage of the mix is
sand?

Answers

Answer:

The correct answer is "50%".

Step-by-step explanation:

The given values are:

Gravel,

= [tex](1-\frac{1}{2} )[/tex]

Water,

= [tex]\frac{1}{2}[/tex]

Cement,

= 1

Sand,

= 2

Now,

The total mixture will be:

= [tex]Gravel+Water+Cement+Sand[/tex]

By substituting the values, we get

= [tex](1-\frac{1}{2} )+\frac{1}{2} +1+2[/tex]

= [tex]\frac{1}{2} +\frac{1}{2} +1+2[/tex]

= [tex]4 \ cubic \ feet[/tex]

hence,

The percentage of sand will be:

= [tex]\frac{Sand}{Total}\times 100[/tex]

= [tex]\frac{2}{4}\times 100[/tex]

= [tex]50[/tex]%

Paul baked 208 brown loaves. If the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total?
Paul baked 520
loaves.
The owner of a restaurant is placing an order for bread.
On Friday there were 300 customers in the restaurant and 100 bread rolls were served.
On Saturday he is expecting 540 customers.
What would be a good estimate of how many bread rolls should he order? I
Os 2021
A Exit
Back
✓ Mark Question
172.000
13 :
O atv
N
MacBook Air

Answers

Answer:

A. Total=520 loaves

B. Estimate= 180 rolls

Step-by-step explanation:

Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3

Answers

Answer:

Here is your answer.....

Hope it helps....

The value of given function f(x) - g(x) is 2x² + 2x + 1.

What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Given,

                  f(x) =3x² + 2x + 1

                  g(x) = x² - 6x + 3

f(x) - g(x) = ( 3x² + 2x + 1) - ( x²- 6x + 3)

              = 3x² + 2x +1 - x² + 6x - 3

              = 2x² +8x - 2

Therefore , the value of given function f(x) - g(x) is 2x² + 2x + 1.

Learn more about function brainly.com/question/11963913

#SPJ2

What is the radius of the circle if the circumference is 18 pi centimeters

Answers

Answer:

9cm

Step-by-step explanation:

Circumference formula = 2piR

To calculate radius

The equation becomes

2piR = 18pi

R = 18pi/2pi

= 9cm

What is y-3=3/4(x-5) in standard form?

Answers

Answer:

[tex]y-3=\frac{3}{4} (x-5)\\\\y-3=\frac{3}{4}x-\frac{3}{4}(5)\\\\y=\frac{3}{4} x+3-\frac{15}{4} \\\\y=\frac{3}{4} x+\frac{12}{4} -\frac{15}{4} \\\\y=\frac{3}{4} x-\frac{3}{4}[/tex]

Is this standard form? :\

Answer:

3x-4y=3

Step-by-step explanation:

Hi there!

We are given the equation y-3=[tex]\frac{3}{4}(x-5)[/tex], and we want to write it in standard form

Standard form is given as ax+by=c, where a, b, and c are integer coefficients, a CANNOT be 0 and CANNOT be negative, and b also CANNOT be 0

So let's expand the parentheses in the equation

Do the distributive property

y-3=[tex]\frac{3}{4}x-\frac{15}{4}[/tex]

Add 3 to both sides

y=[tex]\frac{3}{4}x-\frac{3}{4}[/tex]

We expanded the parentheses, but the equation is now in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

Remember that we want it in standard form, which is ax+by=c

Subtract [tex]\frac{3}{4}x[/tex] from both sides

[tex]\frac{-3}{4}x+y=\frac{-3}{4}[/tex]

Remember that the coefficients of a, b, and c need to be integers, and also that a (the coefficient in front of x) CANNOT be negative

So multiply both sides by -4

[tex]-4(\frac{-3}{4}x+y)=-4(\frac{-3}{4})[/tex]

Distribute -4 to every number

[tex]-4(\frac{-3}{4}x)+-4(y)=-4(\frac{-3}{4})[/tex]

Multiply

[tex]\frac{12}{4}x-4y=\frac{12}{4}[/tex]

Simplify

3x-4y=3

There's the equation in standard form

Hope this helps!

What is the average
number of 4th graders per
class from the table above?

Answers

Answer:

29

Step-by-step explanation:

You need to find the average number of students

Add up all the students

27+31+28+33+26

145

Divide by the number of classes

145/5

29

The average is 29

32

Step-by-step explanation:

answer of number 30 is 32

Olivia used 22 inches of ribbon as a border around her scrapbook cover. Which of these rectangles could be the shape of her scrapbook cover?

Answers

Answer:

its the first square one that says "6 inch, 5 inch"

Step-by-step explanation:

Because 6+6=12 and 5+5=10, so 12+10=22

Answer:

6 and 5 inch

Step-by-step explanation:

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50

Answers

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

7 + 18 = 25 employees, which means that [tex]N = 25[/tex]

7 over 50, which means that [tex]k = 7[/tex]

10 dismissed, which means that [tex]n = 10[/tex]

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]

0.055 = 5.5% probability that exactly 5 employees were over 50.

7(x-9y) need an answer

Answers

Answer:

7x - 63y

Step-by-step explanation:

Given

7(x - 9y) ← multiply each term in the parenthesis by 7

= 7x - 63y

the length of each side of a triangle is in the ratio 4 : 5 : 9. the length of the longest side is 27cm. Find the perimeter of the triangle.

Answers

Answer:

54 cm

Step-by-step explanation:

27:9=3

4+5+9=18

3×18=54

The average electric bill for a small electric company is $72 for the month of April with a standard deviation of $6. If the amounts of the bills are normally distributed, find the probability that the mean of the bills for 15 randomly selected residents will be less than $75

Answers

Answer:

Hence the probability that the mean of their utility bills will be less than $75 = P(X < 75) is 0.9736.

Step-by-step explanation:

Now,  

Population mean electric bill, [tex]\mu =[/tex]  $72  

Population standard deviation, [tex]\sigma =[/tex]  $6  

Standard error of the mean[tex]= \sigma / \sqrt{n} = 6 / \sqrt{15} = 1.5492[/tex]

The probability that the mean of their utility bills will be less than $75 = P(X < 75)

= P[Z < (75 - 72) / 1.5492]

= P[Z < 1.9365]

= 0.9736 (Using Z table)

Find z such that 4.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places)

Answers

Answer:

The correct answer will be "-1.66".

Step-by-step explanation:

Let z₀ be,

[tex]P(z<z_0)=4.8 \ percent[/tex]

                [tex]=0.048[/tex]

⇒ [tex]\Phi (z_0)=0.048[/tex]

Now,

⇒ [tex]\Phi (-1.6646)=0.048[/tex]

   [tex]z_0=-1.6646[/tex]

       [tex]\simeq -1.66[/tex]

Thus the above is the right answer.

Household Size Probability 1 0.04 2 0.09 3 0.14 4 0.20 5 0.29 6 0.14 7 0.08 8 0.02 a. What is the probability that there are less than 5 members in a household in India

Answers

Given:

Probability distribution table is:

Household Size :   1            2          3           4          5         6         7          8

Probability          : 0.04     0.09     0.14     0.20     0.29    0.14    0.08   0.02

To find:

The probability that there are less than 5 members in a household in India.

Solution:

Let x be the number of members in a household. The probability that there are less than 5 members in a household in India is:

[tex]P(x<5)=P(x=1)+P(x=2)+P(x=3)+P(x=4)[/tex]

[tex]P(x<5)=0.04+0.09+0.14+0.20[/tex]

[tex]P(x<5)=0.47[/tex]

Therefore, the probability that there are less than 5 members in a household in India is 0.47.

ASAP NEED HELP DESCRIBE AND GET CORRECT a) You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)a) You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)

Answers

Answer:

p = 18

Step-by-step explanation:

4(p – 7) = 44

Divide each side by 4, using the division property of equality

4(p – 7)/4 = 44/4

p-7 = 11

Add 7 to each side using the addition property of equality

p-7+7 = 11+7

p = 18

Answer:

he is right the guy above me

Step-by-step explanation:

Select the correct answer from each drop-down menu.

The given composite shape has an area of (72,78,66,84) cm2 and a perimeter of (42,47,40,33) cm.

Answers

Answer:

78 cm²

42 cm

Step-by-step explanation:

To obtain the area of the shape given :

The figure is divide into three different rectanglular parts :

Recall, area of a rectangle = Length x width :

Rectangle 1 : 9* 6 = 54 cm²

Rectangle 2 = 6 * 2 = 12 cm²

Rectangle 3 = 4 * 3 = 12 cm²

Total area = (54 + 12 + 12). = 78 cm²

Perimeter = sun of the exterior sides of the shape

Perimeter = (9 + 8 + 3 + 4 + 3 + 6 + 3 + 6) = 42 cm

Can someone please help me with this.

Answers

f(a)= -3a+2b

Hope this helps!
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