PLS HELP ME WITH GEOMETRY :0000

PLS HELP ME WITH GEOMETRY :0000

Answers

Answer 1

Answer:

GM = 18

Step-by-step explanation:

HJK is congruent to HKL (RHS congruency)

so, JK = KL

JK = 2

GHJ is congruent to MHL (SAS congruency)

so, GJ = LM

LM = 7

GM = 7 + 2 + 2 + 7 = 18


Related Questions

Given f(x)=1/4(5−x)2 what is the value of f(11)?

Answers

Answer:

-3

Step-by-step explanation:

Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.

Read the passage below.
You will respond by writing an informational response paragraph.
You will find specific writing directions below the passage.


GOLD IN THE SKY
By Alan E. Nourse

Chapter 1. Trouble Times Two

The sun was glowing dull red as it slipped down behind the curving horizon of Mars, but Gregory Hunter was not able to see it.

There was no viewscreen in the ship's cabin; it was too tiny for that. Greg twisted around in the cockpit that had been built just big enough to hold him, and shifted his long legs against the brace-webbing, trying to get them comfortable.

He knew he was afraid ... but nobody else knew that, not even the captain waiting at the control board on the satellite, and in spite of the fear Greg Hunter would not have traded places at this moment with anyone else in the universe.

He had worked too hard and waited too long for this moment.

He heard the count-down monitor clicking in his ears, and his hands clenched into fists. How far from Mars would he be 10 minutes from now? He didn't know. Farther than any man had ever traveled before in the space of 10 minutes, he knew, and faster. How far and how fast would depend on him alone.

"All set, Greg?" It was the captain's voice in the earphones.

"All set, Captain."

"You understand the program?"

Greg nodded. "24 hours out, 24 hours back, 90 degrees to the ecliptic1, and all the acceleration2 I can stand both ways."

Greg grinned to himself. He thought of the months of conditioning he had gone through to prepare for this run ... the hours in the centrifuge to build up his tolerance to acceleration, the careful diet, the rigorous hours of physical conditioning. It was only one experiment, one tiny step in the work that could someday give men the stars, but to Gregory Hunter at this moment it was everything.

"Good luck, then." The captain cut off, and the blastoff buzzer sounded.

He was off. His heart hammered in his throat, and his eyes ached fiercely, but he paid no attention. His finger crept to the air-speed indicator, then to the cut-off switch. When the pressure became too great, when he began to black out, he would press it.

But not yet. It was speed they wanted; they had to know how much acceleration a man could take for how long and still survive, and now it was up to him to show them.

Fleetingly, he thought of Tom ... poor old stick-in-the-mud Tom, working away in his grubby little Mars-bound laboratory, watching bacteria grow. Tom could never have qualified for a job like this. Tom couldn't even go into free-fall for 10 minutes without getting sick all over the place. Greg felt a surge of pity for his brother, and then a twinge of malicious anticipation. Wait until Tom heard the reports on this run! It was all right to spend your time poking around with bottles and test tubes if you couldn't do anything else, but it took something special to pilot an XP ship for Project Star-Jump. And after this run was over, even Tom would have to admit it....

There was a lurch, and quite suddenly the enormous pressure was gone.

Something was wrong. He hadn't pushed the cut-off button, yet the ship's engines were suddenly silent. He jabbed at the power switch. Nothing happened. Then the side-jets sputted, and he was slammed sideways into the cot.

He snapped on the radio speaker. "Control ... can you hear me? Something's gone wrong out here...."

1The great circle that is the apparent path of the Sun.

2The process of moving faster or happening more quickly.

------------------------

Now that you have read the passage, you will write an informational response paragraph to answer the following question:

How does this story create a feeling of tension or conflict?

Read the directions carefully so you know what to include in your essay.

Begin your paragraph by rephrasing the question into a topic sentence. Be sure to include the title and the author.
Include 3 or more specific examples, details, or quotes from the passage to support your answers to the prompt.
End with a conclusion sentence to wrap up your ideas.
Proofread your work before submitting.
(100 points)

Answers

Answer:

nobotty nows

Step-by-step explanation:

( I will give brainliest! ) What is the simplified expression of

4x + 2(3x + 7) - 7x?

Answers

Answer:

[tex]3x + 14[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2(3x + 7) - 7x[/tex]

[tex]4x + (2 * 3x) + (2 * 7) - 7x[/tex]

[tex]4x + 6x + 14 - 7x[/tex]

Step 2:  Combine like terms

[tex]4x + 6x + 14 - 7x[/tex]

[tex](4x + 6x - 7x) + 14[/tex]

[tex]3x + 14[/tex]

Answer:  [tex]3x + 14[/tex]

Find the product of 5 and 539.

Answers

Answer:

Step-by-step explanation:

5*539=2695

The product of 5 and 539 is 2695

What does it mean to find the product of numbers:

Finding the product of numbers simply means multiplying 2 or more numbers.

Therefore, the product of 5 and 539 can be done as follows:

5 × 539

Multiplication or product sign is denoted as ×.

Therefore,

5 × 539 = 2695

learn more on product: https://brainly.com/question/24867438?referrer=searchResults

Pleaseee HELPPPPPP HELPPPPP PLEASE

Answers

Answer:

14.6

Step-by-step explanation:

the given angle 6.2 is cleared to be wrong

so we will erase the point of decimal and times sin62 with hypotenous 16.5 that will give us 14.6 length unit as 2 triangles are symmetric as the line cut them to 2 equal triangles

An undersea explorer descends from the surface at a rate of 36 feet per minute.

What is the position of the undersea explorer relative to the surface after descending for 4 minutes?

Enter your answer in the box.

Answers

Answer:

-144 feet from the surface in 4 minutes

Step-by-step explanation:

-36 x 4

With the same rate, the position of the undersea after 4 minutes will be -144.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Rate of descends = 36 feet per minute

After 4 minutes,

36 x 4 = 144

Since it is descending so it can be said to be -144.

Hence "After 4 minutes at the same rate, the position of the undersea will be -144".

To learn more about the rate of change here,

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#SPJ2

plz help me to answer

Answers

For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x

Do the same thing for 10ft

No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.

Which of the following numbers are composite?​
6,14,25,30,52

Answers

Answer:

All of them are composite

Step-by-step explanation:

In math, composite numbers can be defined as the whole numbers that have more than two factors. Whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers.

Given f(x)=9-2x, find f(10).

A.-11
B.11
C.29
D.-29

Answers

Answer:

the answer is A

Step-by-step explanation:

9-2(10)         9-20

The given function is a linear function that decreases as the value of the

input x increases.

The value of f(10), given f(x) = 9 - 2·x is option A. -11

Reasons:

The given function is f(x) = 9 - 2·x

The output of the function is the value of f(x) for a given input x of the function.

The input value, x is substituted into the function to obtain the output value, f(x).

Given that the input, x = 10

We have;

f(10) = 9 - 2×10 = -11

Therefore, the correct option for f(10) is A. -11

Learn more about functions here:

https://brainly.com/question/10781304

Karen, Trey, and Dante have a total of 75 in their wallets. Karen has 5 more than Trey. Dante has 2 times what Karen has. How much do they have in their wallets?

Answers

Answer: Karen has 20, Trey has 15, Dante has 40

Step-by-step explanation:

Karen=x+5    Trey=x     Dante=2x+10

            x+x+5+2x+10=75

                 4x+15=75

                   4x=60

                     x=15

At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?

I need the answer like rn...

Answers

Answer:

19 students ride a bike to school

What is the 24th term in the sequence 1, 3, 5, 7

Answers

Answer:

47

Step-by-step explanation:

Each new term is the previous term +2.

1st term = 1

5th term = 9

10th term = 19

15th term = 29

20th term = 39

25th term = 49 - 2 = 47 = 24th term

Activity 3.
Direction. Name the ratio as a fraction in simplest form.
1. P5.00 to P60.00
2. 1 hour to 40 minutes
3. 2 weeks to 4 days
4. Eight out of 30 passengers are tourist. Give the ratio of tourist to passengers.
5. For every 45 passengers, 9 are foreigners. Write the ratio of foreigners to
passengers.
Please answer please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )

= [tex]\frac{1}{12}[/tex] ( in simplest form )

(2)

both quantities must have the same units

1 hour = 60 minutes , then

[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )

= [tex]\frac{3}{2}[/tex] ( in simplest form )

(3)

1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so

[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{7}{2}[/tex] ( in simplest form )

(4)

[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{15}[/tex] ( in simplest form )

(5)

[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )

= [tex]\frac{1}{5}[/tex] ( in simplest form )

Find the set of values ​​of a for which the point P (2a + 3; 3a-2) is in the fourth quarter of the coordinate plane (with this
Not located on the coordinate axes).

Answers

Answer:

  -3/2 < a < 2/3

Step-by-step explanation:

In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...

  2a +3 > 0

  3a -2 < 0

__

The first inequality has the solution ...

  2a > -3 . . . . subtract 3

  a > -3/2 . . . . divide by 2

The second inequality has the solution ...

  3a -2 < 0

  3a < 2 . . . . add 2

  a < 2/3 . . . divide by 3

The set of values of 'a' that put P in the fourth quarter is ...

  -3/2 < a < 2/3

anyone who solves this problem for me .... I really need help

Answers

a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].

b) The value of [tex]m'(5)[/tex] is approximately -0.034.

c) The value of [tex]x[/tex] is approximately 0.622.

a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:

[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)

Where:

[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-Intercept

Now we proceed to determine the linear functions:

Line 1: [tex]x \in [-1, 2)[/tex]

[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]

[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]

[tex]f(x) = 2\cdot x + 3[/tex]

Line 2: [tex]x \in [2, 8][/tex]

[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]

First, we determine the slope of function:

[tex]m = \frac{3-7}{8-2}[/tex]

[tex]m = -\frac{2}{3}[/tex]

Now we proceed to determine the intercept of the linear function:

[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]

[tex]b = \frac{25}{3}[/tex]

[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]

The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:

[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]

If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:

[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]

[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]

[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]

The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].

b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:

[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)

If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:

[tex]f(5) = 5[/tex]

[tex]f'(5) = -\frac{2}{3}[/tex]

[tex]g(5) = \sqrt{23}[/tex]

[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]

[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]

[tex]m'(5) \approx -0.034[/tex]

The value of [tex]m'(5)[/tex] is approximately -0.034.

c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:

[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]

A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.

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5x+6 ?? please help 8th grade math work

Answers

Answer:

5x + 6 = 0

5x = - 6

x = - 6/5

-6/5 is the answer

The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible

Answers

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

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1/8+1/4=? do you know what it could be!?

Answers

Answer:0.375

Step-by-step explanation:

1/8 + 1/4 = 3/ 8=0.375

It is for my final, please help!

Answers

Answer:

The answer will be the third one.

Step-by-step explanation:

Hope it helps


Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

C

Step-by-step explanation:

32 / 4  = 8

56 / 7 = 8

64 / 8 = 8

Please hurry and answer!

This graph gives growth of a plant overtime what is the slope of the line, and what does the slope mean in situation

select from the drop down menus to correctly complete the statement

The slope is blank which means that the plant blank by blank everyday

Answers

Using the slope of the linear function, it is found that:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is by how much the output y changes when the input x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

x is the time in days.y is the height in inches.

Two of the points are: (0,0) and (2,1).

The slope is given by change in y divided by change in x, hence:

[tex]m = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]

Then, applying the interpretation:

The slope is of 0.5, which means that the plant grows by 0.5 inches each day.

To learn more about slopes and linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

hes correct. the slope is 0.5 and it grows 0.5 inches everyday

Step-by-step explanation:

The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w

Answers

Answer:

-21=-4w

w=5.25

but you don’t want decimals

so- you round down

w=5

Step-by-step explanation:

You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number”  is to divide

you do the same thing to both sides

so divde each side by -4

-21/-4 = 5.25

or with it rounded down since it’s under a five

It’s 5 with the decimals removed

i hope this helps

A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?

Answers

The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula

Amount = Principal + Interest

Given the following parameters

Interest = PRTR is the rate = 7.5%T is the time in years = 5 years

Get the interest

Interest = 45,000 * 0.075 * 5 Interest = $16,875

Get the amount;

Amount = $45,000 + $16,875Amount = $61,875

Calculate the monthly payment:

Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25

Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25

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Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?

Answers

Answer:

70 likes

Step-by-step explanation:

49 likes / 7 minutes = 7 likes / minute

10 minutes * 7 likes / minute = 70 likes / 10 minutes

How do I rewrite the improper fractions as a mixture number? Please explain step by step to get marked as brainliest

Answers

Answer:

1) Divide the numerator by the denominator.

2) Write down the whole number result.

3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

Step-by-step explanation:

not sure of this will help... but hope it does!

Answer:

Explained below :)

I tried my best to explain, sorry if it doesn't make sense

Step-by-step explanation:

Example problem: 11/4 (Mixed number)

1: 11 divided by 4 = 2 (whole number) with a remainder of 3

( Numerator divided by denominator) (Don't turn the number into a decimal leave the remainder)

2: Take the remainder and put it over the denominator 3/4

3: Whole number beside the remainder over the denominator

Your answer would be 2 3/4

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

[tex]V(1,2) \to V \ ' \ (0.5,1)\\\\U(0,2) \to U \ ' \ (0,1)\\\\T(-1,0) \to T \ ' \ (-0.5, 0)\\\\W(1,-2) \to W \ ' \ (0.5,-1)\\\\[/tex]

===========================================================

Explanation:

Multiply each coordinate by 0.5, which is the same as the fraction 1/2.

This causes the preimage to shrink to a smaller image.

The rule I'm using is [tex](x,y) \to (kx,ky)[/tex] where the scale factor is k = 0.5

John finished his English assignment in 1/3 hours. Then he completed his chemistry assignment in 2/5 hours. What was the total amount of time John spent doing these two assignments?
these two assignments?

Answers

Answer: 11/15 hours

Step-by-step explanation:

Find LCD (lowest common denominator)

1/3=5/15

2/5=6/15

6/15+5/15=11/15 hours or 44 minutes

-2x^2 + (y)(x/3); use x= -3, and y = 2​

Answers

Answer:

-2(x^2+1)

Step-by-step explanation:

1. Divide The Numbers:

-2x^2+2(-3/3)

-2x^2+2(-1)

2. Multiply The Numbers:

-2x^2+2(-1)

-2x^2-2

3. Common Factor:

a. Factor by grouping

-2x^2+2(-3/3)

-2x^2-2

b. Factor by Grouping

-2x^2-2

-2(x^2+1)

-2x^2+(2)(-3/3)

Solution: -2(x^2 + 1)

3.
Which two expressions can be used to find the value of (36)(24)?
A (30-6)(30 - 6)
(30 + 6)(30 - 6)
C 30²- 6²
B
D302 - 360 +62
-
E 30² +62

Answers

Answer:

962

Step-by-step explanation: 30²- 6² is 962

Please look for the question in the picture.

Answers

Answer:

two negitives equals a positive so C none of the above

Hope This Helps!!!

Answer:

A and B

Step-by-step explanation:

Other Questions
It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60? Suzette has a history of seizures. The doctor has given her medication, which has allowed her to be seizure-free for many years. From which disorder does Suzette most likely suffer? A. Cerebral palsy B. Epilepsy C. Alzheimer's disease D. Parkinson's disease Please select the best answer from the choices provided. A B C D. Which line in these excerpts from the play Everyman implies that the common people of the time were leading a life dedicated to material gain and pleasure-seeking activities? Of ghostly sight the people be so blind, Drowned in sin, they know me not for their God. In worldly riches is all their mind: They fear not my righteousness, the sharp rod; Out of God's laws, and dreadeth not folly. He that loveth riches I will strike with my dart, His sight to blind, and from heaven to depart, Except that Almsdeeds be his good friend, For before God thou shalt answer and show Thy many bad deeds and good but a few-- How thou hast spent thy life and in what wise,\A. the corrupt nature of discretionB. the enduring nature of happinessC. the fleeting nature of earthly pleasuresD. the transient nature of summer flowersE. the delicate nature of fellowship Question 19: Your meeting a classmate fort he first time . Which of the following words/ phrases would you say first Ayudaaa necesito resolver 2 ejercicios A) x+2=x B) 3+2x-6=x What are some Goods and Bads of of the Quiz show? (Book is Out of my mind) (PHOTOGRAPHY) When your camera and computer are talking to each other during the photo transfer process, a pop-up window should appear. What will this pop-up window explain?Group of answer choiceshow to transfer your photos from your computer to your friends computerhow to transfer your photos onto the internethow to transfer your photos from your computer to your camerahow to transfer your photos from your camera to your computerPLEASE HELP!!! Why must an individual practice healthful strategies to decrease the potential negative impact of a conflict situation? Use details to support your answer. Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost? which statement best describes how the structure of these excerpts helps to develop the themes? please identify this painting i can't figure it out!!! How does the author MAINLY organize theinformation in the passage? what equation do you use to calculate force from work to distance 70 POINTSSelect the statement that best applies to the image.The force needed to move the crate is greater if it is full of items than if it is empty. The force needed to move the crate is smaller if the crate is full than if it is empty.The force needed to move the crate is the same whether it is empty or full of objects. The force needed to move the crate is smallest when there are just a few items inside it. vessels that carry blood away from the heart are called giving brainliest !! pls help Since 2000,New Mexico has become more of a ____ state Holly's salary is $80,000 per year. She contributes 10% of her salary to her 401(k) plan. Her employer contributes 5% of her salary to a profit share plan. She also contributes $2,500 per year to an IRA. Holly's savings ratio is Read this episode from A Brothers Quest and answer the question.(Lord Vanderpools study. Alexander enters.)Alexander: At last! After three weeks disguised as a servant, Ive finally got a chance to sneak in here. I know Lord Vanderpool framed Niall, and I know the proof is in this hidden study.(searches desk)Nothing! Where could he have hidden it?Someones coming!(hides)(Lord Vanderpool and his clerk enter)Lord Vanderpool: Ive just received word that Niall Westmore has confessed to stealing the kings seal. I must write to the king with my sympathy.Clerk: Yes, sir. Ill fetch paper and ink and well return to the public office.(exit)Alexander: What? This cant be right. Niall wouldnt have done that, would he? Ive got to find proof that hes been framed!(searches study)I cant find anything. Here are all of Lord Vanderpools secret dealings, but nothing about the kings seal. Niall cant have done it, but why would he confess?Based on events in this episode, how does Alexander change? A. Alexander begins to doubt Niall's innocence. B. Alexander becomes more convinced that Niall is innocent. C. Alexander begins to doubt that Lord Vanderpool framed Niall. D. Alexander becomes convinced that the hidden study contains proof of Niall's guilt. 17.42 mL of 0.1M NaOH was needed to reach the endpoint in the titration. How many moles of NaOH are in 17.42 mL of 0.1M NaOH