HELP DUE IN 15 MINS!

In parallelogram ABCD, AE = 2x - 10 and EC = 8x - 70. Find x.

x =??

HELP DUE IN 15 MINS!In Parallelogram ABCD, AE = 2x - 10 And EC = 8x - 70. Find X.x =??

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

According to Midpoint of a segment theorem we can say that AE = EC

So,

2x - 10 = 8x - 70

=> First subtract 2x from each side of "="

-10 = 6x - 70

=> Now add 70 to both the sides.

60 = 6x

=> Lastly divide both sides of "=" by 6

10 = x

Hope this helps!


Related Questions

Left Riemann sum approximation Question...

Answers

The left Riemman sum approximation for f(x) = x^5, between x = 0 and x = 5, considering 5 intervals, is given as follows:

5.3248.

How to obtain the Riemman sum approximation?

First we must obtain the Delta value, which is the difference between the bounds of the integral, divided by the number of integrals, thus:

[tex]\Delta_x = \frac{b - a}{n} = \frac{2 - 0}{5} = 0.4[/tex]

Then the values of x at which the numeric values are calculated are obtained as follows:

[tex]x_i = a + \Delta_x(i - 1)[/tex]

Thus the values of x are of:

[tex]x_1 = 0[/tex].[tex]x_2 = 0.4[/tex][tex]x_3 = 0.8[/tex][tex]x_4 = 1.2[/tex][tex]x_5 = 1.6[/tex]

The numeric values are given as follows:

f(0) = 0^5 = 0.f(0.4) = 0.4^5 = 0.01024.f(0.8) = 0.8^5 = 0.32768.f(1.2) = 1.2^5 = 2.48832.f(1.6) = 1.6^5 = 10.48576.

Then the Riemann sum approximation for the integral is given as follows:

[tex]\sum_{i = 1}^{n} \Delta_x f(x_i)[/tex]

Thus:

0.4(0 + 0.01024 + 0.32768 + 2.48832 + 10.48576) = 5.3248.

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6. 175 is ___% of 125
7. ___is 120% of 720

Answers

Answer:

6.  175/125=x/100

Cross products  equal 125x=17500

Solve for x and you get 140%

7.  20% of 720 is 144.  You need to find 120% so add the full 720 (100%) to the 144 and you get 864 (120%)

Step-by-step explanation:

Answer:

6. 140%    7. 864

Step-by-step explanation:

Step for #1:

1.) 175 ÷ 125 = 1.4

2.) 1.0=100   0.4=40

3.) 1.4 = 140%

Answer; 140%

Step for #2:

1.) 120% × 720 = ?

2.) 120 x 720 = 86,400

3.) 86,400 ÷ 100 = 864

Answer; 864

Find the measure of the missing angle.

Answers

Answer:

its 79 k(kkkkkkkkkkkkkkkkk

Answer:

79 i think

Step-by-step explanation:

A hot air balloon is cruising at an altitude of 120 m above ground when it begins its descent the balloon descends at a rate of 4.5 m per minute explain how you would set up the equation to model when the balloon will reach an altitude of 75 m above ground then solve the equation and check your solution

Answers

The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

The balloon will reach an altitude of 75 meters above the ground.

Now, 120-75 =45 meters

Let t be the time to descends 45 meters

So, 120 - 4.5t= 75

= -4.5 t = 75-120

= -4.5t = -45

= t = -45/(-4.5)

= t = 10 minutes

Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

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Unit 1 geometry basics Homework 2
pls help! i’ll mark brainliest

Answers

The value of AB= 24 BD is congruent to BC. BD=BC

BD = 5x – 26, BC = 2x + 1, and AC = 43

How to find value of AB?From the diagram , AC=AB+BCTo find out , we need to find  BC first . For that we have to find out xWE know that BD=BC, using that we solve for x5X-26=2X+1SUBSTRACT 2X3X-26=1ADD 263x=27x=9Now we plug in 9 for x  and find out BCBC=2x+1BC=2(9)+1BC=19We know AC= 43AC=AB+BC43=AB+19subtract 19AB=24

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On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthday, how much money will be available?​

Answers

Answer:

[tex]A\simeq3250.83[/tex]

Step-by-step explanation:

The amount formula in compound interest is:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

[tex]r = 7\% = \frac{7\%}{100\%}=0.07[/tex]

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

[tex]A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83[/tex]

Totally T's is a company that makes t-shirts. Workers go on strike and the factory is closed. What will happen to the supply of t-shirts?
Answer the 3 questions below related to this scenario.
Complete sentences are not required. Please number each answer.
1. Will there be an increase or decrease?
2. Which way will the graph shift?
3. What is the determinant?

Answers

Answer:

Step-by-step explanation:
All i know is that it will decrease.












( NO LINKS ) How many edges does this prism have? *

A. 4
B. 8
C. 12

Answers

Answer:

C. 12

Step-by-step explanation:

B: 8 is the correct answer.

Name the property that i hown by each equation. A. 6a 4 = 4 6a
B. 30 60 = 15(2 4)
C. 3(8x 4) = 3(4 8x)
D. 4(6a) = (4 · 6)a

Answers

A. Commutative property of addition

B. Distributive property

C. Commutative property of addition

D. Associative property of multiplication

Commutative property of addition: The commutative property of addition says that a change in the order of the numbers being added does not affect the sum. We define a commutative property of addition as adding the numbers in any order that will give the same answer.  

                                    a + b =b + a

        Here, a and b is whole numbers, integers or decimals, or even fractions.

Distributive property: According to this property, multiplying the summation of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together. In other words, according to the distributive property, an expression of form A (B + C) can be solved as A (B+ C) = AB + AC.Associative property of multiplication:  The associative property of multiplication is defined as that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

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The complete question is:

Name the property that is shown by each equation.

A. 6a + 4 = 4 + 6a

B. 30 + 60 = 15(2 + 4)

C. 3(8x + 4) = 3(4 + 8x)

D. 4(6a) = (4 · 6)a

This is algebra 2, please help.

Answers

The vertex and axis of symmetry of the graph is shown in image.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ f (x) = 1/4 (x + 6)² - 5

Now,

Since, The function is,

⇒ f (x) = 1/4 (x + 6)² - 5

Hence, The points corresponds to x = - 2 and - 4 are;

For x = - 2;

⇒ f (x) = 1/4 (x + 6)² - 5

⇒ f (x) = 1/4 (-2 + 6)² - 5

⇒ f (x) = 1/4 (4)² - 5

⇒ f (x) = 4 - 5

⇒ f (x) = - 1

For x = - 4;

⇒ f (x) = 1/4 (x + 6)² - 5

⇒ f (x) = 1/4 (-4 + 6)² - 5

⇒ f (x) = 1/4 (2)² - 5

⇒ f (x) = 1 - 5

⇒ f (x) = - 4

Thus, The points are;

⇒ (- 2, - 1) , (- 4, - 4)

And, The vertex of the function is,

⇒ ( - 6, - 5 )

And, The axis of symmetry of the graph is,

⇒ x = - 6

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Ben wants to buy a binder and some penicals from the school store.binders coast 2.25 each of the pencials coast 0.75 each.how much will it coasg ben to buy 1 binder and P penicals

Answers

The total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Cost of a binder = 2.25

Cost of a pencil = 0.75

We have to find the total cost for Ben to buy 1 binder and P pencils.

Cost of 1 binder = 2.25

Cost of P pencils = 0.75 × P = 0.75 P

Total cost of 1 binder and P pencils = 2.25 + 0.75 P

Hence the total cost for Ben to buy 1 binder and P pencils is 2.25 + 0.75 P.

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Can some one help me with this question its hard :( down below ill give brainliest
and plz explain

Answers

x*x is x^2, because the ^2 simply means that the x is multiplying by itself

(Ex. if you had x^3, you would have x*x*x, or if you had x^4, you would have x*x*x*x and it goes the other way around as well, meaning x*x*x*x*x would be x^5)

Answer:

B. x²

Step-by-step explanation:

A number/variable multiplied by itself would be a power, in this case to the second power.

For example:

x*x*x = x³

In the diagram below, PQ is parallel to MN. If PQ, is 22 more than MP, PO=12, and MN=12, find the length of MP. Figures are not necessarily drawn to scale. State your answer in the simplest radical form, if necessary.

Answers

The measure of the length MP is equal to 6.

What are similar triangles?

Two triangles are similar triangles if they have the same corresponding angle measures and proportional side lengths.

Given is a triangle ΔOMN.

Now, ΔOMN and ΔOPQ are similar. This means that the side lengths are proportional to each other. We can write -

OP/OM = PQ/MN

12/OM = PQ/MN

12/(OP + PM) = PQ/MN

It is given that -

PQ = MP + 2

12/(OP + PM) = (MP + 2)/MN

12MN = (MP + 2)(OP + PM)

12 x 12 = (MP + 2)(MP + 12)

(MP)² + 12MP + 2MP + 24 = 144

(MP)² + 14(MP) - 120 = 0

Let MP = x, then we can write -

x² + 14x - 120 = 0

(x + 20)(x - 6) = 0

(x + 20) = 0   and    (x - 6) = 0

x = - 20   and   x = 6

x = 6      {Lengths cannot be negative}

Therefore, the measure of the length MP is equal to 6.

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What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answers

The x-coordinate of the solution of the system of equations is x = 20/3

What is the x-coordinate of the solution?

Here we have a system of equations below:

3x - y = 6

3x + y = 34

And we want to find the x-cordinate of the solution, so we need to solve this for x.

We can use the elimination method, you can see that if we add both equations we will get:

(3x - y) + (3x + y) = 6 + 34

6x = 40

x = 40/6

We can simplify that fraction to get:

x = 20/3

That is the x-coordinate of the solution.

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Ellie ha been training for the Cedar Ridge Off-Road Race. The firt week he trained, he ran 3 day and took the ame two route each day: 2. 5 mile on a path in the wood in the morning and a longer route at the park in the afternoon. By the end of the week, Ellie had run a total of 24 mile. Which equation can you ue to find how many mile, x, Ellie ran each afternoon

Answers

The Distance that Ellie ran each evening is 16.5 miles for a entirety week.

How to find the number of miles?

We can use the following equation to find how many miles, x, Ellie ran each afternoon:

x + 2.5(3) = 24

Here, x represents the number of miles Ellie ran each afternoon, 2.5 represents the number of miles she ran each morning, and 3 represents the number of days she trained. The total number of miles she ran, 24, is on the right side of the equation.

To solve for x, we can start by simplifying the left side of the equation:

x + 7.5 = 24

Then, we can subtract 7.5 from both sides:

x = 16.5

So, Ellie ran 16.5 miles each afternoon.

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Solve these for points I got a one in algebra so this would be helpful to my grade

Answers

The solution for each system of equations is given as follows:

1) x = -4, y = -8.

2) x = 5, y = -1.

3) x = -7, y = 2.

4) No solution.

5) x = 2, y = -6.

6) x = -3, y = 4.

How to solve the system of equations?

The system of equations are solved using the elimination method, writing  one variable as a function of another, replacing in the other equation, and then obtaining each variable.

For item 1, we eliminate x, as follows:

x = 12 + 2y.

Hence the solution for y is obtained as follows:

5(12 + 2y) + 3y = -44

60 + 10y + 3y = -44

13y = -104

y = -104/13

y = -8.

Then the solution for x is given as follows:

x = 12 + 2y = 12 + 2(-8) = -4.

For item 2, we have that:

y = 19 - 4x.

Hence:

7x - 2(19 - 4x) = 37

7x - 38 + 8x = 37

15x = 75

x = 5.

Hence the solution for y is of:

y = 19 - 4(5) = -1.

For item 3, we can simplify the second equation by two, hence:

-x + y = 9.

y = 9 + x.

Hence:

3x + 8(9 + x) = -5

3x + 72 + 8x = -5

11x = -77

x = -7.

Hence the solution for y is of:

y = 9 - 7 = 2.

For item 4, we have that:

x = 7 + 3y.

Hence:

2(7 + 3y) - 6y = 12

14 + 6y - 6y = 12

0y = -2. (no solution, division by zero).

For item 5, we have that:

y = -2 - 2x.

Hence:

5x + 3(-2 - 2x) = -8

5x - 6 - 6x = -8

-x = -2

x = 2.

Hence the solution for y is of:

y = -2 - 2(2)

y = -6.

For item 6, we simplify the second equation by two, hence:

2x + y = -2

y = -2 - 2x.

Replacing on the first equation, we have that:

2x + 5(-2 - 2x) = 14.

2x - 10 - 10x = 14

-8x = 24

8x = -24

x = -3.

Hence the solution for y is obtained as follows:

y = -2 - 2(-3)

y = -2 + 6

y = 4.

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upper and lower bounds question

Answers

The upper bound and lower bound of a using the equation will result to

upper bound value 136015.499

lower bound value 136014.500

How to find the upper bound and lower bound values

Evaluating the given expression a = b + 2c

where

b = 15 to 2 significant figures

c = 68 000 to 2 significant figures

solving for a

a = b + 2c

a = 15 + 2(68000)

a = 136015

The bound values

upper bond value is the largest possible vale of a

upper bond value = 136015.499

lower bound value is the lowest possible value of a

lower bound value = 136014.500

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A Chemistry book is moved 2 meters to the left and then 1 meter to the right. What is its displacement?

Answers

Answer:

1 meter to the Left

Step-by-step explanation:

Displacement is the distance between the start and ending points

By having it at first 2 meters to the left, then to move it back 1 meter to the right, you are subtracting from the initial movemnet to the left.

(2-1) = 1 meter to the Left

What is the Value of P? 9=p÷9

Answers

Answer:

p = 81

Step-by-step explanation:

9 = [tex]\frac{p}{9}[/tex]  Multiply both sides by 9

9(9) = [tex]\frac{p}{9}[/tex][tex](\frac{9}{1})[/tex]  another name for 9  is [tex]\frac{9}{1}[/tex]

81 = p

pls help with question image is linked

Answers

The kilogram of fruits sold each day are 135 kg, 110 kg and 70 kg

How to determine the amount sold each day

From the question, we have the following parameters that can be used in our computation:

Day 2 = Day 1 - 25

Day 3 = 2/7 * (Day 1 + Day 2)

Total weights = 315

Next, we use the following representations

x = Day 1, y = Day 2 and z = Day 3

So, we have the following equations

y = x - 25

z = 2/7(x + y)

x + y + z = 315

Substitute y = x - 25 in z = 2/7(x + y) and x + y + z = 315

z = 2/7(x + x - 25) = 2/7(2x - 25)

x + y + z = 315 ⇒ x + x - 25 + z = 315

So, we have

z = 2/7(2x - 25)

2x + z = 340

Substitute z = 2/7(2x - 25) in 2x + z = 340

2x + 2/7(2x - 25) = 340

So, we have

7x + 2x - 25 = 1190

Evaluate the like terms

9x = 1215

Divide by 9

x = 135

So, we have

y = x - 25 = 135 - 25 = 110

z = 2/7(x + y) = 2/7 *(135 + 110) = 70

Hence, the amounts are 135 kg, 110 kg and 70 kg

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whats the awnser i need help

Answers

answer:10

Step-by-step explanation:

the graph show it is 1 hour and shows 10 miles and it continues

Answer:

it should be that the miles are 10 times the amount of hours

Step-by-step explanation:

Considering that to bike 10 miles it took 1 hour and to bike 20 miles it took 2 hours it will continue going like that so the miles will always be 10 times the amount of hours

Please help me on this :/

Answers

Answer

8. b

9.C

10.a

11.a

12. c

13. b

brainliest pls <3

How can -6 1/3 be expressed as the sum of it's integer and fractional parts?
I'm giving 20 points for this one

Answers

Answer:

bottom left: -6 + (-1/3)

Step-by-step explanation:

hope this helps :)

It’s -6 + (-1/3) I think :)

Help please Or else I will give You A holy SLAP

Answers

Answer:

z = 450 - 135

z + 135 = 450

Step-by-step explanation:

Han's house is 450 meters from school. Lin's house is 135 meters closer than Han's house from school. So,

450 - 135 = 315 <-- equation to look for

Lin's house is 315 meters from school.

Explain how I do this please and thank you!

Answers

Answer:

Step-by-step explanation:

You need to add both of the angles you already know (1 and 2). If you add angle 1 and angle 2 you get 74. This means m < J K M would be 74°.

Answer:

74 degrees

Step-by-step explanation:

You have to add angles 1 and 2

35 +39=74

Therefore, 74 is the answer

use substitution to solve each system of equations

2. y= 4x+5
2x+y=17

6. 3x +4y= -3
x+2y= -1

8. -1=2x - y
8x-4y=-4

10. y= -4x + 11
3x + y=9

15. -5x+4y=20
10x-8y= -40

Answers

I think it's answer this .

HELP BRAINLIEST FOR FASTEST AND CORRECT NO NEED TO EXPLAIN

Answers

Answer:

The answer is 48

Step-by-step explanation:

Answer:

48 students

4*12=48

How do I do this and show work

Answers

We are given the expression:

[tex]\frac{\sqrt{2} }{3} = -\frac{2}{3} Sin\theta[/tex]

[tex]\sqrt{2}} = -2 Sin\theta[/tex]                                           [multiplying both sides by 3]

[tex]Sin\theta = \frac{\sqrt{2}}{-2}[/tex]                                                [Dividing both sides by -2]

[tex]Sin\theta = \frac{-1}{\sqrt{2}}[/tex]

which means:

[tex]\theta = Sin^{-1}(\frac{-1}{\sqrt{2}} )[/tex]

[tex]\theta = -Sin^{-1}(\frac{1}{\sqrt{2}} )[/tex]

θ = -45°                                                    [because [tex]Sin^{-1}(\frac{1}{\sqrt{2}})[/tex] = 45°]

Hence, the answer is -45° OR (360-45) = 315°

Help me please?!!!!!!!!!

Answers

I think it’s the last one but I’m not sure

Answer:

Last option: f(x) = [tex]\sqrt[5]{\frac{x}{7} }[/tex]

Hope this helps!

I need to know the steps in order to solve this math problem....Please briefly describe the steps

Answers

a) A function w(t) to represent the amount of water in the pool using the two functions is w(t) = -3t + 5.

b) The pool will leak out the water when w(t)=0.

c) It will take 1.67 hours to leak out all the water from the pool.

d) Yes, functions f(t) and d(t) will intersect on the graphs when the pool stops leaking all the water out.

e) The domain of the functions  f(t), d(t) and w(t) are 0 ≤ t ≤ 1.67.

What are functions?

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.

Subtract the amount flowing into the pool by the amount being drained out the pool to get the amount of water in the pool .

The given functions are -

Flowing: f(t) = t² + 8t + 9.

Draining: d(t) = t² + 11t + 4.

The amount of water in the pool is -

w(t) = f(t) - d(t)

w(t) = t² + 8t + 9 - t² - 11t - 4

w(t) = -3t + 5.

Therefore, the function obtained is w(t) = -3t + 5.

When the condition is w(t) = 0 then, the pool will have leaked all the water.

Plugging in the values -

-3t + 5 = 0.

3t = 5

t = 1.67.

Therefore, the pool will leak all the water in 1.67 hours.

Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked. The graph is shown below.

The domain of a function is the set that contains all input values of the function. The input is the time in the given situation, so -

Time cannot be negative, hence t ≥ 0.

When all the water has been drained, everything stops, hence t ≤ 1.67.

Therefore, the domain of the function is 0 ≤ t ≤ 1.67.

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2. Yvonne van Gennip of the Netherlands ice skated 10.0 km with an aver- age speed of 10.8 m/s. Suppose van Gennip erosses the finish line at her average speed and takes a huge bouquet of flowers handed to her by a fan. As a result, her speed drops to 10.01 m/s. If van Gennip's mass is 63.0 kg, what is the mass of the bouquet please help me babes! what did czar alexander II abolish in russia in 1861?a. serfdomb. the expansion of communismc. the use of solar energy What does the repeated use of synecdoche in thisspeech convey?O Lady Macbeth's desire to take an action that sheknows is wrongO Lady Macbeth's identification with her femininity andwomanhoodO Lady Macbeth's reluctance to convince her husbandto kill the kingO Lady Macbeth's feelings of isolation and separationfrom her husband please answersssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Which of the following is the best evidence that the American populace was disillusioned with politics following the Watergate scandal and the Vietnam War ? OA. The decision of Jimmy Carter to distance himself from the liberals in his own party B. The apathetic response to President Ford's complete pardon of Richard Nixon C. The rise of women's activist groups that opposed the Equal Rights Amendment D. The extremely low voter turnout during the presidential election of 1976 what is x and the measure of angle EHF Which of the following is NOT one of the pitfalls of a low-cost provider strategy?A. becoming too fixated on cost reductionB. overly aggressive price-cuttingC. having the basis for the firm's cost advantage undermined by cost-saving technological breakthroughs that can be readily adopted by rival firmsD. setting the industry's price ceiling to capture volume gains and achieve economies of scaleE. relying on an approach to reduce costs that can be easily copied Kindly answer this one. Thank you. The graph shows Miguel's savings over time. What is the slope of the line? Del siguiente texto: " Este libro es ms interesante que el que le el mes pasado y es muy bueno, por eso lo recomendar a mis amigos, adems su precio es barato". Escribe lo que se pide: a) adjetivo en grado positivo b) adjetivo en grado comparativo c) adjetivo en grado superlativo Write the entire chemical equation and label the reactants and products.C3H8 + 5 O2 3 CO2 + 4 H2O A wood has pine, oak and ash trees.The numbers of pine trees and oak trees are in the ratio 5:8.The numbers of oak trees and ash trees are in the ratio 2:3The total number of trees in the wood is 300. Find the number of ash trees. the detailed description that precedes maltroits spoken words has the effect of How did the titanic changed history? Which of the following cash flows is not considered when using the net present value method?a. Future cash inflows.b. Future cash outflows.c. Past cash outflows.d. Non-uniform cash inflows.e. Future year-end cash flows. how effect size and shape of ethiopia on the economic ? What was the name of the Dutch colony in Indonesia? "When the first automobile was invented in 1886, there was excitement about what this new machine meant for the future of travel, both nearand far. In 1900, cars were considered luxury items, and only 8,000 were owned in the United States. Currently, over 253 million cars are drivenon American roads. As the automobile became the main form of transportation in the United States, regulations about who could operate the carssoon followed."What is the author's point of view in the excerpt?1- third-person limited2- third-person omniscient3- first person4- second person pls help will give branliest urn the ignition switch to start and release the key immediately or you could destroy the ___________.