A parallelogram has been found to have diagonals which are NOT congruent and slopes which are negative reciprocals.
What kind of quadrilateral is it?

Answers

Answer 1

It is a rhombus kind of quadrilateral.

What is quadrilateral?

A quadrilateral has four sides, is two-dimensional (flat), closed (the lines join up), and has straight sides.

A rhombus is a four-sided quadrilateral with all of the features of a parallelogram.

A rhombus has three more characteristics: consecutive sides that are congruent; diagonals that bisect pairs of opposite angles; and diagonals that are perpendicular to one another.

Moving clockwise, beginning at point A in the top left corner of a hypothetical rhombus ABCD, you can see that side AB is congruent to side BC and side CD is congruent to side DA.

Additionally, you can see that diagonals AC and DB are perpendicular to one another and that the rhombus' diagonals split pairs of opposing angles.

Hence, It is a rhombus kind of quadrilateral.

To learn more about the quadrilateral visit,

https://brainly.com/question/23935806

#SPJ1


Related Questions

In the past, Jessica got paid $197,980 annually. Since switching to a new career, she has been making 35% more. How much does Jessica make now?
$
pwease

Answers

Answer:

$267,273

Step-by-step explanation:

197980 + .35(197980)

197980 + 69293

267273

Mara's age is 5 less than four times Brandy's age. Let x represent Brandy's age, and let y represent Mara's age. Which ordered pair (x, y) makes the equation y = 4x − 5 true?

Answers

The ordered pair that made the equation, y = 4x - 5 correct is (5, 15).

How to find ordered pair from a linear equation?

Mara's age is 5 less than four times Brandy's age.   Let x represent Brandy's age, and let y represent Mara's age.

Therefore, the ages can be represented linearly as follows:

y = 4x - 5

where

x = Brandy's agey = Mara's age

Therefore, the ordered pair (x, y) that makes the equation correct can be computed as follows:

y = 4x - 5

y = 4(5) - 5

y = 20 - 5

y = 15

The ordered pair is (5, 15)

learn more on equation here: https://brainly.com/question/1014750

#SPJ1

The black graph is the graph of
= f(x). Choose the equation for the
red graph.
a.
y = f(2x)
b. y=f(2)
C.
2y = f(x)
d.
½ = f(x)
Enter

Answers

The equation for the red graph is y = f(x/2).

We are given a graph. The graph shows two functions. A function connects an input to an output. It is similar to a machine with input and output. And the result is somehow connected to the input in some way. One of the functions is depicted by black lines. We need to find the equation of the function represented by the red lines.

We can see that the function represented by the red lines can be formed if the black lines are stretched horizontally. The black lines can be stretched horizontally by a factor of 2 to form the red lines. A function y = f(x) can be stretched horizontally by a factor of "k" as given below.

y = f(x/k)

Hence, the equation for the red graph is y = f(x/2).

To learn more about equations, visit :

https://brainly.com/question/10413253

#SPJ1

what is the greatest comman facter of 2 and 3

Answers

Their only possible common factor is 1

2. Janet earns money making candles. From every candle she sells, she earns $4.18. How
much money would she earn if she sold 57 candles?

Answers

Answer:

$238.26

Step-by-step explanation:

Write equations for a pair of perpendicular lines that intersect at the point at (-3, -7)

Answers

Equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

As given in the question,

Pair of equations that are perpendicular to each other and intersect at point ( -3 , -7 ) are as follow:

let us consider slope of perpendicular lines are m₁ and m₂.

Product of the slope of perpendicular lines = -1

⇒ m₁ × m₂ = -1

⇒ m₂ = -1 / m₁

Pair of perpendicular intersect at point ( -3 , -7 ) .

Required equation of perpendicular lines is given by :

For line 1:

( y - (-7)) / ( x - (-3) ) = m₁

⇒ y + 7 = m₁ (x+3)  

For line 2:

( y - (-7)) / ( x - (-3) ) = m₂

⇒ y + 7 =  m₂( x+ 3)

⇒  y + 7 =  -1 / m₁ ( x+ 3)

Therefore, equation for the given pair of lines which are perpendicular to each other and intersect at the point (-3 , -7 ) are :

( y + 7 ) = m₁ ( x + 3) and ( y + 7 ) = (-1 / m₁ )( x + 3 )

Learn more about equation here

brainly.com/question/10413253

#SPJ1

t is the solution to the linear equation?

x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x

Answers

The solution for the linear equation:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

Is x = -5/3

How to solve the linear equation?

Is hard to understand what you wanted to write, but I assume that the linear equation that we need to solve is:

x - (2/3)*x - (1/2) = (1/3) + (5/6)*x

To solve this linear equation, we need to isolate the variable x in one of the sides of the equation

To do so, we move all the terms with "x" to the left side and the terms without to the right side:

x - (2/3)*x - (5/6)*x = 1/3 + 1/2

Now we solve this:

x - (4/6)x - (5/6)x = 2/6 + 3/6

x - (9/6)*x = 5/6

We can write the "1" in the first term as 6/6

(6/6)*x - (9/6)*x = 5/6

(-3/6)*x = 5/6

-3x = 5

x = 5/-3

x = -5/3

That is the solution of the linear equation.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

You are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $36, otherwise, you lose $30. What is your expected value for the game?

Answers

$-12



In rolling a single die, there are 6 possible outcomes. To win, there are two possible outcome making the probability equal to 2/6. Moreover to loss, there are 4 possible outcomes, making the probability equal to 4/6.Calculating the cost,
(2/6)($36) - (4/6)($36) = -12
Thus, the expected value of the game is $-12.

See question in screenshot below:

Answers

The value of P is $2,000.

The value of r is 2.8%

The value of n is 4.

The amount of money that Allision will have in 8 years is  $2,500.19.

How much will he have in 8 years?

When the account is compounded quarterly, it means that the amount invested and the interest that has already been earned would increase in value four times in a year. A compound growth rate can be modelled as an exponential equation.

The equation that can be used to determine the future value with quarterly compounding is:

S(t) = P( 1 + r /n)^(n x t)

Where:

P = amount deposited r = interest rate n = number of compounding t = number of years

S(t) = 2,000 x ( 1 + 0.028 / 4)^(4 x 8)

S(t) = 2,000 x 1.007^32 = $2,500.19

To learn more about compound interest, please check: https://brainly.com/question/26367706

#SPJ1

friendly and kind personality and likes to help people but like Hyde, he becomes mysterious and violent

Answers

what’s ur question???????

helppp pls <233 i’ll make brainliest !!!

Answers

The congruent angle of Q is T

What number is halfway between 8.34 and 8.35?

Answers

Answer:

The correct answer is 8.345

Step-by-step explanation:

To find the midpoint of any two numbers, add the two numbers together and then divide the sum by two.

Addition:

8.34 + 8.35 = ?

= 16.69

Divide sum by 2:

16.69 ÷ 2 = ?

= 8.345

Hope this helps! Have an amazing rest of your day! Brainliest welcome! :)

A right triangle has a leg length of square root of 6 and a hypotenuse length of 7. Determine the length of the other leg of the right triangle.

3
36
square root of 39
square root of 43

Answers

The length of the other leg of the right triangle is square root of 43

How to find the length of the other leg of the right triangle?

Given:

A leg length = square root of 6

Hypotenuse length = 7

Let the length of the other leg of the right triangle be y

The diagram of the triangle is as shown in the image attached

Using Pythagoras' theorem:

7² = (√6)² + y²

y² = 7² - (√6)²

y² = 49-6

y² = 43

y = √43

Therefore, the other leg is square root of 43.  The 4th option is the angle

Learn more about Pythagoras' theorem on:

https://brainly.com/question/231802

#SPJ1

Answer:

D = 43

Step-by-step explanation:

I got it right on my test!

Have a great day everyone:)

Solve for x: 5x + one third(3x + 6) > 14

Answers

The value of x for 5x + 1/3(3x+6) > 14 is x > 2

What are inequality equations in algebra ?
When you first begin learning algebra, the equals sign is used to denote that two items are, in fact, equal to one another. As an illustration, consider the equations 3 = 3, 5 = 3 + 2, apple = apple, pear = pear, etc. When compared, an inequality reveals two things: first, that the objects being compared are not equal, or at the very least, they are not always equal; and second, how they are uneven.

Consider the provided inequality.

5x + 1/3(3x+6) > 14

Distributive property:

a (b +c)= ab + ac

By the distributive property.

5x + 1/3 * 3x + 1/3 * 6 > 14

5x + x + 2 > 14

Add the like terms

6x + 2 > 14

Subtract 2 from both sides.

6x > 12

Divide both sides by 6.

6x/6 > 12/6

x > 2

Hence, value of x for the given inequality equation will be greater than 2 i.e, x > 2.

To learn more about inequalities in algebra click here,
https://brainly.com/question/24372553
#SPJ1

Answer:

Nikita Knight

Nikita Knight

Step-by-step explanation:

Nikita Knight

Nikita Knight

Nikita Knight

Nikita Knight

69420

7. For the piecewise defined function {f(x)=1 x<3
{1/2x+7 x_>3
(1) 7
(2) 10
3x-1 x<3
[//x+7 _x23²)
(3) 17
(4) 27
which of the following is the value of f(6)?

Answers

Answer:

I think it's 10 idek I just search it

13. Is the function y = 2x a one-to-one function? Justify your answer.
ation becaus

Answers

Answer:

yes

Step-by-step explanation:

every x value will have at lest one y value

Consider the relationship 9r+2t=9 .



a. Write the relationship as a function r=f(t) .



Enter the exact answer.



f(t)=


b. Evaluate f(−9) .



f(−9)=


c. Solve f(t)=5 .



t=

Answers

1. The relationship as a function r = f(t) is: r = (9 - 2t)/9.

2. The numeric value at t = -9 is: f(-9) = 3.

3. The value of t for which f(t) = 5 is t = -18.

What are the desired measures?

The relationship is given as follows:

9r + 2t = 9.

To write the relationship as a function of t, we have to isolate the variable r as a function of the variable t, hence:

9r = 9 - 2t

r = (9 - 2t)/9.

To find the numeric value at t = -9, we replace the lone instance of t in the relationship by -9, hence:

r = (9 - 2(-9))/9 = 27/9 = 3.

To find when f(t) = 5, we have to find t for which f(t) = 5, hence:

9r = 9 - 2t

2t = 9 - 9r

2t = 9 - 9(5)

2t = -36

t = -36/2

t = -18.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

1.e a jupiter day is about 3/8 of an earth day. about how many hours are there is jupiter their in jupiter day

1.f on the moon a person weight is about 1/6 of their weight on earth about how many kilograms would a person weigh on the moon if their weight on earth is 54kg

Answers

The number of hours that are there in Jupiter is 9 hours.

The kilograms that a person weigh on the moon is 9kg.

How to calculate the days?

It is important to note that there are 24 hours in a day. Therefore, when Jupiter day is about 3/8 of an earth day. The number of hours will be:

= 3/8 × 24

= 9 hours

Also, a person weight is about 1/6 of their weight on Earth. The kilograms that a person weigh on the moon if their weight on earth is 54kg will be:

1/6 × 54

= 9kg

Learn more about Jupiter on:

brainly.com/question/15044627

#SPJ1

Please help me Thank you :)

Answers

Answer:

3

Step-by-step explanation:

y difference is 9 and x difference is 3 so 9/3 = 3

Answer:

slope = 3

Step-by-step explanation:

(2, 7), (5, 16)

(x₁, y₁)  (x₂, y₂)

m = slope

        y₂ - y₁         16 - 7        9

m = ------------ = ----------- = ------- = 3

        x₂ - x₁         5 - 2          3

I hope this helps!

Carlos is making goodie bags for a party. Every goodie bag has exactly the same treats in it. Carlos has 96 granola bars and 48 small popcorn balls. What is the greatest umber of identical goodie bags Carlos can make? How many of each kind of treat is in each goodie bag?

Answers

The greatest number of identical goodie bags Carlos can make is 48.

Therefore will be 2 granola bars and 1 popcorn balls in each bag.

How to calculate the value?

From the information, Carlos is making goodie bags for a party and every goodie bag has exactly the same treats in it.

Carlos has 96 granola bars and 48 small popcorn balls. It should be noted that the greatest common factor between 96 and 48 is 48.

Therefore, granola bars will be:

= 96/48

= 2 in each bag

Popcorn will be:

= 48/48

= 1 in each bag.

Learn more about factor on:

brainly.com/question/25829061

#SPJ1

What’s the correct answer answer asap for brainlist

Answers

Answer:

B

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

A chemist weighs samples obtained from a production run. The weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g. Are there any outliers?

Answers

The outlier of the data is 14.16 gram

What is Outlier?

An outlier is a data point in statistics that dramatically deviates from other observations. An outlier may reflect measurement variability or it may point to an experimental error; the latter is occasionally removed from the data set. In statistical analyses, an outlier can result in significant issues.

Given:

Weights of the samples are 13 g, 14 g, 23 g, 11 g, 15 g, 14 g, 14 g, 12 g, 13 g, 15 g, 14 g, and 12 g.

So, the outlier is

= 13 x 2 + 14 x 4 + 12 x 2 + 11 + 15 x 2+ 13 / 12

= 170 gram /12

= 14.16 gram.

Hence, the outlier of the data is 14.16 gram

Learn more about outlier here:

https://brainly.com/question/26958242

#SPJ1

The vet says that Lena's puppy will grow to be at most 20 inches tall. Lena's puppy Is currently 1 foot tall.
How many more inches will the puppy grow?

Answers

Answer:

8 inches

Step-by-step explanation:

1 foot is 12 inches

20 - 12 = n

n = 8

Answer:  The correct answer is 8 more inches.

Step-by-step explanation:

The puppys' current height is 12 inches (1 foot)

The vet's advised maximum height is 20 inches

Difference in height = 20 - 12 = 8 inches

Find the value of Z such that 0.13 of the area lies to the right of Z

Answers

Answer:

the answer will be : 1.13

During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .

Answers

The slope of the graph is 5.5.

Given:

During one hour of running, Jeff can run 5.5 miles. The number of miles Jeff runs and the number of hours are in a proportional relationship. This is represented by y=5.5x .

slope:

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant .

compare the y = 5.5x with standard equation y = mx + c

m = 5.5 and c =0

m is nothing but slope:

so slope m = 5.5

= 11/2.

Therefore The slope of the graph is 5.5.

Learn more about the slope here:

https://brainly.com/question/3605446

#SPJ1

Given m||n, find the value of x.

Answers

Answer:

x = 17

Step-by-step explanation:

(5x - 23) and (7x - 1) are same- side interior angles and sum to 180° , so

5x - 23 + 7x - 1 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

Brad wants to have $14832 available as a down payment for a house in 3 years. How much must he deposit now at
9.3% compounded monthly to reach that goal?
Round final answer to the nearest cent (2 decimal places)

Answers

Answer:

P = $11233.08

Step-by-step explanation:

Another word for deposit is the principal and the compounded monthly indicates we're working with compound interest.

The formula for compound interest is:

[tex]A(t)=P(1+\frac{r}{n} )^{rt}[/tex], where P is the principal ("deposit"), r is the rate, n is the number of compounding periods, and t is the time.

Before solving, we will need to convert the percentage to a decimal (9.3% to 0.093) and remember that n = 12, since there are 12 months in a year.

Thus, we will need to solve for P to find Brad's deposit:

[tex]14832=P(\frac{0.093}{12})(^{12*3})\\14832=P(1.00775)^{36} \\14832=1.32038641P\\11233.07532=11233.08=P[/tex]

Question content area top
Part 1
Arrivals to a bank automated teller machine​ (ATM) are distributed according to a Poisson distribution with a mean equal to per minutes. Complete parts a and b below.

Answers

The probabilities, using the Poisson distribution, are given as follows:

a) Three customers in five minutes: 0.1805 = 18.05%.

b) Fewer than two customers in ten minutes: 0.0916 = 9.16%.

What is the Poisson distribution?

The probability mass function of the Poisson distribution is presented as follows:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters of the Poisson distribution are:

x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.

The mean is of two arrivals per five minutes, hence:

[tex]\mu = 2[/tex]

The probability of exactly three arrivals in five minutes is:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-2}2^{3}}{(3)!} = 0.1805[/tex]

For ten minutes, the mean is given as follows:

[tex]\mu = 2 \times 2 = 4[/tex]

The probability of fewer than two arrivals is:

P(X < 2) = P(X = 0) + P(X = 1).

In which:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-4}4^{0}}{(0)!} = 0.0183[/tex]

[tex]P(X = 1) = \frac{e^{-4}4^{1}}{(1)!} = 0.0733[/tex]

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.0183 + 0.0733 = 0.0916 = 9.16%.

Missing Information

The complete problem is given by the image shown at the end of the answer.

More can be learned about the Poisson distribution at https://brainly.com/question/7879375

#SPJ1

Can you help on 7-9
Please this is due tomorrow

Answers

Answer:

The answer for no 7 is A. 24 in, for no 8 is C. 10 in, for no 9 is D. similar

Step-by-step explanation:

The answer for no 7 can be calculation as follows

Since both rectangles are similar, then the corresponding side are proportional, and it follows

[tex]\frac{\overline{KJ}}{\overline{AB}}=\frac{x}{\overline{AD}}[/tex]

[tex]\frac{48}{144}=\frac{x}{72}[/tex]

Where [tex]x[/tex] is the line segment [tex]\overline{MJ}[/tex]

Multiply both sides by [tex]72[/tex] to isolate [tex]x[/tex]

[tex]\frac{48}{144}\times 72=\frac{x}{72}\times 72[/tex]

[tex]\frac{48\times 72}{144}=x[/tex]

[tex]\frac{3456}{144}=x[/tex]

[tex]24=x[/tex]

Since the value of [tex]x[/tex] is [tex]24[/tex], then the length of [tex]\overline{MJ}[/tex] is [tex]24[/tex] in

The answer for no 8 can be calculation as follows

Since both rectangular frames are similar,  then the corresponding side are proportional, and it follows

[tex]\frac{w_2}{w_1}=\frac{x}{h_1}[/tex]

Where [tex]w_2[/tex] is the width of frame [tex]2[/tex], [tex]w_1[/tex] is the width of frame [tex]1[/tex], [tex]x[/tex] is the height of frame [tex]2[/tex], [tex]h_1[/tex] is the height of frame 1

Substitute [tex]8[/tex] for [tex]w_2[/tex], [tex]12[/tex] for [tex]w_1[/tex], [tex]15[/tex] for [tex]h_1[/tex]

[tex]\frac{8}{12}=\frac{x}{15}[/tex]

Multiply both sides by [tex]15[/tex] to isolate [tex]x[/tex]

[tex]\frac{8}{12}\times 15=\frac{x}{15}\times 15[/tex]

[tex]\frac{8\times 15}{12}=x[/tex]

[tex]\frac{120}{12}=x[/tex]

[tex]10=x[/tex]

Since the value of [tex]x[/tex] is [tex]10[/tex], then the height of  the second rectangular frame is [tex]10[/tex] in

The answer for no 9 can be evaluated as follows

Since two polygons are similar if and only if two conditions are satisfied

All pairs of corresponding angles are congruentAll pairs of corresponding side are proportional

Then the two polygons are similar

A commuter plane can carry 50 people per trip. At least How many times does the plane have to fly in order to carry 25,000 people? Identify the variable and answer the question. Please give details on how to set up problem. Thanks

Answers

Answer:

Step-by-step explanation:

First, since 50 people can go per trip and the plane wants to fly a lot of times to carry 25,000 people.

Second, then you have to do 25,000/50

Thirdly, you have to find the awnser

             AWNSER=500

Other Questions
A fruit seller bought oranges at rs 48 per dozen. At what price should he sell 30 oranges so as make 10%profit The event that occurs when agents in a game form an agreement about which strategies to implement. ______ Is the Egyptian code of ethics. A student used the equation below to create a table.y = 2.50xThe student used 15 as one of the values for the x. Which ordered pair could be taken from the table?O a 17.50, 15)Ob (15, 17.50)Oc 37.50, 15)Od (15,37.50) Discuss how and where the adding of variance concept is being used in the anova technique, and then discuss what is being described by the mean squares being calculated. Hannah wanted to check her solution of b=-3 for the equation 9/7 (1+b)-6/7b 1=1 . Substituting b for -3, she writes the following: A. 9/7(1+(-3))-6/7b+1=1 B. 9(1+(-3))-6(-3)-7=7 C. 9(1+(-3))+18+7=7 D. 6-18+7=7 E. -12+7=7 -5=7F. -5=7In which line did Hannah make a mistake? Choose one. x 3 = y; use x = 3, and y = 1 The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted.Identify and interpret the key features of the exponential function modeled in terms of this situation.Select each correct answer.The y-intercept represents the number of mammals when they were originally counted.The line y = 0 is an asymptote of the graph.The y-intercept.is 75.The y-intercept is 120.The asymptote indicates that the number of mammals counted when the study began was 120.The asymptote indicates that as years pass, the number of mammals will approach 0.The line x = 0 is an asymptote of the graph. the nurse is assessing a client who has been admitted to the acute care facility. the client experiences an acute onset of altered level of consciousness and recent memory loss. what does the nurse anticipate the client will be evaluated for? CAN SOMEONE HELP AS SOON AS POSSIBLE a client taking lithium therapy has a serum therapeutic level of 0.8 meq/l. what priority dietary instruction should the nurse include in the teaching plan? Due to the financial crisis of 20072008, many new laws were passed that added more layers of oversight and regulation to the banking industry. Smaller community banks have become concerned with the newly imposed regulations by the federal regulators on their bank. What is the best action the bank could take to alleviate this situation?Apply for a charter conversion from a federally-chartered bank to a credit union.Refuse to implement recommended changes made by the regulators.Apply for a charter conversion from a state-chartered bank to a federally-chartered bank.Do nothing; unfortunately, a bank has no recourse when it comes to regulations. Determine which statements are the converse, inverse, and contrapositive of the following statement.If it is after midnight, Anissa is sleeping.All rights reserIf Anissa is sleeping, it is not after midnight.If Anissa is sleeping, it is after midnight.If it is not after midnight, Anissa is sleeping.If it is not after midnight, Anissa is not sleeping.If Anissa is not sleeping, it is not after midnight.ConverseContrapositiveInverca The graph of the function, f(x) = x2 - 5x - 7 opens and has a value. Silver tarnishes as silver metal reacts with hydrogen sulfide, h2s, in the air. in this reaction, dark silver sulfide, au2s, covers the surface of silver. when silver is polished, this coating of silver sulfide can be removed from the surface. this makes the silver shiny again. enter the coefficients that balance the tarnishing reaction equation. (type 1 for no coefficient.) 2 silver dishes. photo by mgeurts ag(s) h2s(g) ag2s(s) h2(g) According to the npa sections 301. 401 - 301. 410, all of the following are required to report a nurse to the board if the nurse engages in conduct subject to reporting except. the three important ideas mendel postulated concerning the transmission of traits from parents to offspring include: What is the role of epinephrine in cell signaling? why did the house of representatives vote to impeach president johnson and why wasn't he convicted 6. Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. Shestops for half an hour. Erin then cycles home and arrives at 3pm.(a) Draw a distance-time graph to show Erin's journey.(b) What is Erin's average speed on the return part of her cycle?