The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x.
A) 20
B) 30
C) 40
D) 50

Answers

Answer 1
2x+3x+4x=180
9x=180
180/9=20
therefore x= 20, so A
Answer 2

Answer:

Option A) 20 ... ... ... ✔

Step-by-step explanation:

[tex] \underline{\tt{❖ \: Given \: \: ❖}}[/tex]

interior angle of triangle 2x,3x4x

[tex] \underline{\tt{❖ \: Solution \: ❖}}[/tex]

We know that interior sum of all angle is 180°

[tex]\; \;\dashrightarrow \;\pmb {2x+3x+4x=180°}[/tex]

[tex]\; \;\dashrightarrow \;\pmb {9x=180°}[/tex]

[tex]\; \;\dashrightarrow \;\pmb {x = \dfrac{180}{9} }[/tex]

[tex] \; \;\dashrightarrow\; \; {\pmb{\underline{\boxed{\red{\frak { x = 20 }}}}}} \; \green\bigstar[/tex]


Related Questions

Identify the horizontal translation of the parent function. step by step

y=(x-4)^2

Answers

The answer to this is shift right 4.

Luis bought stock at $83.60. The next day, the price increased $15.35. This new price changed by -4 and 3/4 (mixed number) the following day. What was the final stock price? Is your answer reasonable? Explain.

Answers

After buying stock at $83.60, the price increased by $15.35 the next day, followed by a 4.75% decrease the day after. The final stock price was therefore $94.25, and this is a reasonable fluctuation in the stock market.

Luis purchased stock at an initial price of $83.60. On the next day, the stock price increased by $15.35, resulting in a new price of $83.60 + $15.35 = $98.95. The following day, the stock price experienced a decrease by 4 and 3/4 percent. To find the change in price, we multiply $98.95 by 4.75% (or 0.0475 in decimal form), which equals approximately $4.70. So, the final stock price after the decrease would be $98.95 - $4.70 = $94.25.

Is this answer reasonable? Yes, a price fluctuation in stock is common, and a change of $15.35 followed by a percentage decrease the following day is a typical scenario in the stock market.

Which expression is equivalent to 6x−2(7x−3)?

a.)17x
b.) 14x
c.)−14x+12
d.)−8x+6

Answers

the answer is d. -8x+6 is equal to 6x-2(7x-3)
if you open the bracket it will be 6x-14x+6 which simplifies to -8x+6 which is d

The two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter sides. the perimeter of the triangle is 29 m

Answers

P=a+b+c. Sub in what we know: 29=a+a+(a+5). Combine like terms: 29=3a+5. Subtract 5 from both sides: 24=3a. Divide by 3: 8=a. Short sides: A=8m, b=8m, long side: c=13m. :)

Which is greater 20 5/6 or 20.8?

Answers

20.833333 is 20 5/6 and 20.8 is basically 20.80000000 and since 3 is larger than zero 20 5/6 is larger 20 5/6 > 20.8 
20 5/6 is larger than 20.8

Maximum value of (log x)/x

Answers

y = log x / x
y ` = (( log x )` * x - (x)` * log x) / x²=
= (1/x * x - 1 * log x ) / x² =
= ( 1 - log x ) / x²
y ` = 0;
1 - log x = 0
log x = 1
x = e
The maximum value:
y max = log e / e = 1 / e

what is the least common multiple of 9, 17, and 51

Answers

306!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
LCM of 9,17 and 51 is 153


5t + 5 = 30 solve for t

Answers

5t+5=30
divide both sides by 5
t+1=6
minus 1 both sides
t=5
t=3 because 5x3+5=30

what is the lcm of 4 and 10

Answers

LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for. Type some numbers into the box to the right, and this page will find the LCM of those numbers.
LCM or least common multiple. The first number two or more numbers are a factor of. 10s multiples: 10, 20, 30, 40. 4: 4, 8, 12, 16, 20. The first similar one is 20 therefore 20 is your LCM :)

Solve this: 9x-3=5x-15

Answers

I answer you're problem.
Simplifying 9x + -3 = 5x + -15
  Reorder the terms: -3 + 9x = 5x + -15
  Reorder the terms: -3 + 9x = -15 + 5x
  Solving -3 + 9x = -15 + 5x
 Solving for variable 'x'.
 Move all terms containing x to the left, all other terms to the right.
  Add '-5x' to each side of the equation.
-3 + 9x + -5x = -15 + 5x + -5x
 Combine like terms:
 9x + -5x = 4x -3 + 4x = -15 + 5x + -5x
 Combine like terms:
 5x + -5x = 0 -3 + 4x = -15 + 0 -3 + 4x = -15
  Add '3' to each side of the equation.
 -3 + 3 + 4x = -15 + 3
  Combine like terms: -3 + 3 = 0 0 + 4x = -15 + 3
 4x = -15 + 3
 Combine like terms: -15 + 3 = -12 4x = -12
  Divide each side by '4'.
x = -3 
hope this helps you

Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?

Answers

i know this is late but the answer is 8 because your doing common factors so you you so 16 over 24 and see what number can go into both of those numbers which is 8 because 8 times 2=16 and 8 times 3= 24 so the answer is 8 again sorry i was late

Answer:

Maximum number of packets made = 8

Step-by-step explanation:

Number of pencils Rosy has = 16

Number of erasers Rosy has = 24

Now, it is given all the packets made contain equal number of pencils and erasers in each packet.

Therefore, to find the maximum number of packets : We find the HCF of both 16 and 24

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

Common factors are : 2, 2 and 2

⇒ HCF = 2 × 2 × 2

            = 8

So, 8 packets can be made from 16 pencils and 24 erasers so that each packet will contain 2 pencils and 3 erasers each.

Hence, Maximum number of packets made = 8

An audience of 450 people is seated in an auditorium. Each row contains the same number of seats and each seat in the auditorium is occupied. With three fewer seats per row, and five extra rows, the same audience could still be seated, occupying all seats. How many rows does the auditorium have? ...?

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

SR = 450 
S = 450/R 

(S - 3)(R + 5) = 450 
(450/R - 3)(R + 5) = 450 
(450 - 3R)(R + 5) = 450R 
450R + 2250 - 3R^2 - 15R = 450R 
3R^2 + 15R - 2250 = 0 
R^2 + 5R - 750 = 0 
R^2 + 30R - 25R - 750 = 0 
R(R + 30) - 25(R + 30) = 0 
(R + 30)(R - 25) = 0 
R ∈ {-30,25} 

Only positive numbers make sense in this context, therefore R = 25.

Answer with Step-by-step explanation:

Let there be r rows and s seats in every row.

An audience of 450 people is seated in an auditorium and each seat is occupied.

i.e. rs=450

or s=450/r

With three fewer seats per row, and five extra rows, the same audience could still be seated, occupying all seats.

i.e. (s-3)(r+5)=450

s(r+5)-3(r+5)=450

rs+5s-3r-15=450

450+5s-3r-15=450

Subtracting both sides by 450,we get

5s-3r-15=0

i.e. 5s-3r=15

5(450/r)-3r=15

Dividing both sides by 3 and multiplying by r, we get

750-r²=5r

r²+5r-750=0

r² + 30r - 25r - 750 = 0  

r(r + 30) - 25(r + 30) = 0  

(r + 30)(r - 25) = 0

either r+30=0 or r-25=0

either r= -30 or r=25

r can't be negative

Hence, number of rows in auditorium are:

25

1. Select the ordered pair from the choices below that is a solution to the following system of equations:

4y = 2x + 10
8x − 3y = -14

a) (-1, 2)
b) (7, 6)
c) (-3, 2)
d) (5, 5)

2. Which of the following systems of equations has no solution?
a) 9x + 5y = 1; 15y = 18x − 4
b) -7x − 7 = 3y; -14y − 8 = -6x
c) 4x − 3y = 9; 6y = 8x − 18
d) 7y = 5x − 10; 10x − 14y = 8

3. Select the ordered pair from the choices below that satisfies following system of equations:

2x − 10y = -14
-4y = -x − 5

a) (-1/2,1)
b) (-20, 3)
c) (3, 2)
d) (8, -4)

Answers

1. A. (-1,2) 
2. Sorry but i cant help you with this one
3. C. (3,2)

Hope this help! Need anything else just ask! :)

Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.
a. Write an inequality to describe how many tiles are needed to make one row of tiles across the width of the room.
b. Solve the inequality.
c. How many tiles should Jeanette buy to form one row?

Answers

Answer:

a.  The inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

b.  Solving the inequality:  [tex]x\geq 13.333...[/tex]

c.  Jeanette should buy 14 tiles to form one row.

Step-by-step explanation:

Suppose, the number of tiles needed to make one row [tex]=x[/tex]

Each square tiles measure [tex]\frac{3}{4}[/tex] ft on each side.

So, the total length of [tex]x[/tex] number of tiles [tex]=\frac{3}{4}x\ ft[/tex]

Given that, the room is 10 ft wide.

So, the inequality will be:  [tex]\frac{3}{4}x\geq 10[/tex]

Solving the above inequality.....

[tex]\frac{3}{4}x\geq 10\\ \\ 3x\geq 4(10)\\ \\ 3x\geq 40\\ \\ x\geq \frac{40}{3}\\ \\ x\geq 13.333...\\ \\ x\approx 14[/tex]

So, Jeanette should buy 14 tiles to form one row.

Solve for t. 3/4 t = 1/4

Answers

t = 1/3For more help, comment below!

Write an equation in slope-intercept form for the line that passes through (4, -4) and is parallel to 3 + 4x = 2y – 9.

Answers

3 + 4x = 2y - 9
2y = 4x + 3 + 9
2y = 4x + 12
y = 2x + 6

if it's parallel, than if y = ax + b, a = 2 and you need to find b

(4, -4)
x = 4
y = -4

-4 = 2*4 + b
-4 = 8 + b
b = -12

so an equation is:
y = 2x - 12

A regular 40-sided polygon is rotated with its center of rotation at its center.  What is the smallest degree of rotation needed to map the polygon back on to itself?

Answers

Answer:

171 degrees

Step-by-step explanation:

40-sided polygon has an interior angle equal to:

(40 - 2) (180) /40 = 171 degrees

y varies directly with x, and y = 5 when x = 4. What is the value of x when y = 8?

Please help

Answers

x - y

4 - 5 = -1

The difference between x and y is -1.

8 - 1 = 7

The answer for when y = 8, x = 7.
y = kx,,5=4k,,k=5/4,,8=(5/4)x,,x=6.4

How many months are equivalent to 4 years?

Answers

Each year has 12 months so you just need to use the formula 12 * 4 = x to get the answer. The answer is 48

Is the number 5 prime composite or neither

Answers

the number 5 is prime

Answer:

5

It's easy.

5 has only 2 factors: 1 and itself.

Therefore, it is prime:)

Step-by-step explanation:

Explain how unwrapping a present is used as an analogy for solving an equation. How do you "unwrap" with an equation?
...?

Answers

Here is an analogy comparing between unwrapping a present and unwrapping an equation. Both actions do require following a process. You cannot just skip one step in order to arrive at the answer. Just like unwrapping a present, you need to do it in order. First, you take off the ribbon, then you start to unwrap the wrapper until you see the actual gift. On the other hand, when you are unwrapping an equation, you also follow a certain step. You are given a certain formula and values. What you need to do next is to substitute, do the solution, until it is simplified. And lastly, there you have it. You can now see the actual answer. Hope this answer helps.
Final answer:

Solving an equation is likened to unwrapping a present because in both cases, you aim to uncover what's within by dealing with the outer layers systematically. Through an inverse process, you isolate the equation's variable and solve for it, just as the step-by-step unwrapping of layers reveals the gift within the package.

Explanation:

Unwrapping a present is a great way to understand the process of solving an equation. If you consider the equation itself as being 'wrapped' in different operations such as multiplication, division, addition, and subtraction, you can begin to 'unwrap' it by systematically dealing with these operations in reverse from the order of operations. This would be like when you unpack the present by undoing the tape, then the paper, then the box, or whatever other layers might be present.

To use a direct example, let's consider the equation 3x + 7 = 22. You start unwrapping by isolating for the term with the variable. This means you handle the operation that does not involve the variable first. So, subtract 7 from both sides of the equation to get 3x = 15. Next, you handle the multiplication operation by dividing both sides by 3 and solving for x, which would be 5 in this case. Just like unwrapping a present, we aim to get to the 'inside' or the root of the equation.

Learn more about Solving Equations here:

https://brainly.com/question/17595716

#SPJ12

Which of these inequalities has no solutions?


Answers

B is the one without a solution, because it states that a square root is less than a negative number. if √x is less than a negative value, then there isn't a number that you can plug into x that would make the inequality true. the square root of negative numbers creates an error (or an invisible number) so any values less than 0 plugged in for x don't satisfy the inequality. any positive numbers only give you positive square root results, so you don't get anything less than -17. for example:

√(36) < -17
6 < -17 is false.

Suppose you note that there are congruent vertical angles in the triangles. Can you now use the ASA Postulate, the AAS Theorem, or both to prove the triangles congruent?

Answers

You can use both to prove the triangle is congruent.

So either ASA or AAS Theorem.

Hope this helped! :D

#1: Jim, Jane, Ann, and Bill measure an object’s length, density, mass, and volume, respectively. Which student’s measurement might be in centimeters?

A. Bill’s

B. Jane’s

C. Jim’s

D. Ann’s


#2: How many centimeters are in 0.05 kilometers?

A. 50

B. 500

C. 5,000

D. 50,000

Answers

Answer:

Ques 1)

The student whose measurement might be in centimeters is:

                         Jim

Ques 2)

                 C.   5,000

Step-by-step explanation:

Ques 1)

We know that the standard unit centimeters or meters is used to represent the length of some object.

Here Jim measured an object's length.

Hence, he would represent his measurement in centimeters.

Ques 2)

We know that  1 m=100 cm

and 1 km=1000 m

Hence,

1 km=100000 cm

Hence,

0.05 km=0.05×100000 cm

Hence, we have:

0.05 km=5000 cm.

Hence, the correct answer is: Option: C

Answer:

#1. d. ann's

#2. 5,000

Step-by-step explanation:

use the geometric mean to find the 7th term in a geomtric sequence if the 6th term is 75 and the 8th term is 48.

Answers

The answer is 60

A geometric mean of x and y is: √(x*y)

If we take that x = 75, y = 48, then the geometric mean of 75 and 48 is:
√(75*48) = √3600 = 60

A school conducts 27 test and 36 weeks assume the school conducts test at a constant rate what is the slope of the line that represents the number of tests on the Y axis and the time in weeks on the X axis
A: 3/4
B: 4/3
C: 3
D: 4

Answers

Slope equals rise over run. Rise is referring to y values and run is referring to X values. so if they say tests are the Y axis then you use 27 as the rise and 36 as the run. once you have the fraction it is simply reducing the fraction.
27/36= 9/12 = 3/4

Answer:

3/4

Step-by-step explanation:

I got it right.

write y=2/3x+7 in standard form,

a) -2x+3y=21
b) -2x-3y=21
c) 3x-2y=21
d) -2x+3y=7

I've been trying to figure this out but for some reason my answers end up slightly off and I stg I'm doing this right. I'm kind of fed up with continually refreshing so I don't get a poor score, so I'd really appreciate the help.

Answers

I hope this helps you




y=2/3x+7.3/3.1


y=2x+21/3


3y=2x+21


3y-2x=21
The answer is: [A]: -2x + 3y = 21 .
___________________
Note that "standard form" refers to:
_______________________________
→  Ax +By =C ;
      in which "x" and "y" are variables; "A" and "B" represent the coefficients before those variables, respectively; and "C" is a number (not a variable).
_______________________________
I shall demonstrate 2 (two) methods to convert the equation given:
________________________________________
→  y = (⅔) x + 7 ;   to "standard form".).
_____________________ 
Method 1:
_______________________
→ Given: y = (⅔)x + 7 ; 
______________________
→ Subtract "y" from EACH SIDE of the equation; and subtract "7" from EACH SIDE of the equation. Doing so: 1) puts the "x" and "y' values on one side of the equation; 2) removes a numeric value from the side of the equation with the "x" and "y" values; and 3) puts a numeric value on a side of the equation that does not have any "x" or "y" values — all three of which help to convert to equation to "standard form"—that is, " Ax + By = C " ;
____________
→ y = (⅔)x + 7 ;  → y − y − 7 = (⅔)x + 7 − y − 7 ; To get:
____________
→  -7 = (⅔)x − y  ↔ Rewrite as: (⅔)x − y = -7 ;
________________________
Note:  While this very would could be an answer in"standard form"; 
 "Ax + By = C", in which A = ⅔ , B = -1; and C = -7; 
                     (Note: There is an implied "1" before the "y", since  "1*y = y; 
                                    since: y*1 = y; (anything * 1 = said number); 
                                     and the coefficient is "-1" (NEGATIVE 1); since the                                               "standard form" is: "Ax + By = C; and we have: 

                                                                             (⅔)x − y = -7 ; so the:
"− y" functions as a: PLUS "negative 1y"; in this circumstance.
_________________________________________________
However, this equation—as written—does NOT match any of the answer choices given.
___________________
→So, now we should multiply our ENTIRE equation (BOTH SIDES) by "-3"; for the sake of:  
___________________
1) getting an answer choice that matches one of the answer choices given;
AND: 
2) for the general sake of simplicity—which would include getting the "-7" changed to a "positive 21" ;
_______________________.
 → {Note: A non-zero, negative integer, when multiplied by another non-zero, negative integer; will result in a non-zero POSITIVE integer.
 As such: -7 *-3 = 21}.
_________________
We have:  (⅔)x − y = -7 ; We shall multiply EACH SIDE of the equation by "-3";     → -3 * {(⅔)x − y = -7} ;
______________________
→  Note: Start with:
   →"(-3 * (⅔)x =  -3 * ⅔ * x ;
   →   -3 * ⅔  = [tex] \frac{-3}{1} [/tex] * [tex] \frac{2}{3} [/tex]  =(-3*2)/(1*3)
= -6 / 3 = -2 ;  → Don't forget to bring down the "x":  -2 * x = -2x ; 
→ So: - 3 *(⅔)x = - 2x ;
_________________
The next term: -3 *-1y = +3y ; (Note: -3 *-1y = (-3* -1)*y = 3*y = +3y ;
____________________
The next term: -3*(-7) = +21 ;
_______________________________________
→ to get:  → -2x + 3y = 21 ; which is: 'Answer choice: [A]'.
___________________________________________________________
Method 2:
____________
Given: y = (⅔)x + 7 ; write in standard form:
_________________________
 →  Given:    y = (⅔)x + 7 ; Multiply EACH SIDE of the equation by "3", to get rid of the fraction, "(⅔)" ; 
___________________________
 → 3* { y = (⅔)x + 7 } ;  to get:
____________________________
First term: 3*y  = 3y;  

Second term: 3*((⅔)x)) = 3 * (⅔) * x ;  3 * (⅔) = (3/1)*(2/3) =(3*2)/(1*3) =
6/3 = 2; → Don't forget the "x" → 2 * x
    = 2x;
___________________
Third term: 3*7 = 21;
__________________
→To get: → 3y = 2x + 21 ; 
____________________________
 → Now, subtract "3y" and subtract "21" from EACH SIDE of the equation:
____________________________
→ 3y = 2x + 21 ;   →  3y − 21 − 3y = 2x + 21 − 3y − 21 ;
_____________________________________________
to get: →  -21 = 2x − 3y ; → Rewrite as: → 2x − 3y = -21 ;

______________________________
Note:  This would appear in "standard form" equation; "Ax + By = C"; 
                       in which A = 2; B = 3; C = -21;
___________________________________________
However,  " 2x − 3y = -21 " ;  is NOT an answer choice given.
______________________________
However, there are answer choices given with "21" {note: "positive 21"} representing the number for "C" within the "standard form" equation: 
________
→ "Ax + By = C"
_________________
 So, given our equation:
________________________
→ 2x − 3y = -21 ;
          → We can multiply the ENTIRE equation (BOTH sides) by "-1" ; to                 change the "-21" value to "21" (positive 21); and see if the equation matches any of the answer choices:
______________
→  -1 * {2x − 3y = -21} ; 
______________
First term:  -1* 2x = -2x ; 

Second term: -1 * -3y = -1 * -3 * y = +3y ; 

Third term: -1 * -21 = + 21
___________________________
→  -2x + 3y = 21 ; which is:   'Answer choice: [A]'.

At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges.

Equations
and
Answer

Answers

Let t = initial number of trees "remove 5 trees at the start of the season"  means     (t    - 5)     remain "each remaining tree made 210 oranges for a total of 41,790 oranges"    means         ( t   - 5)           *        210                  = 41790 Now, you can solve for t:        (t-5)(210) = 41790                     [just re-writing]        210t - 1050 = 41790                    [distribute]        210t = 42840                            [add 1050 to each side]          t = 204                                  [divide each side by 210] There were initially 204 trees.  After 5 were removed, the remaining 199 produced 210 oranges each for a total of 199*210 = 41790 oranges.

Answer:

Equations: f(t) = 210(t-5)

Initial number of trees(t) = 204

Step-by-step explanation:

Let  t represents the initial number of trees and f(t) represents the total number of oranges.

"Remove 5 orange trees from his farm" means (t-5)

" Each of the remaining trees produced 210 oranges" means [tex]210\cdot (t-5)[/tex]

so, the equation become [tex]f(t) = 210 \cdot (t-5)[/tex]

Also, it is given that total harvest of, 41790 oranges.

⇒f(t) = 41790

Substitute this in the above equation to get t;

[tex]41790 = 210(t-5)[/tex]

Divide both sides by 210 we get;

[tex]199 = t-5[/tex]

Add 5 both sides of an equation we get;

199 + 5 = t-5 + 5

Simplify:

204 = t

Therefore, there were initially 204 orange trees

A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The caterer cannot order partial packages. The function that models the number of rolls the caterer has is f(p)=12p+5f(p)=12p+5, where p is the number of packages the he orders.

What is the practical domain of the function?

A: all real numbers from 1 to 9, inclusive

B: {17, 29, 41, 53, 65, 77, 89, 101, 113}{17, 29, 41, 53, 65, 77, 89, 101, 113}

C: all integers from 1 to 9, inclusive

D: all real numbers

Answers

B is the practical domain of the function

The practical domain of the function f(p) = 12p + 5 is all integers from 1 to 9, inclusive.

The practical domain of the function f(p) = 12p + 5 refers to the set of all possible values that p, the number of packages of rolls, can take given the constraints of the situation described. Since the caterer cannot order partial packages and can order up to 9 packages, p must be an integer from 1 to 9 inclusive.

Moreover, these are the only values that make sense in the context of this problem since ordering 0 packages will not change the quantity of rolls they already have and ordering more than 9 packages is beyond the caterer's limit.

If the length of the rectangle is twice the width and the perimeter of the rectangle is 30 cm what is length and width of the rectangle

Answers

The length of the rectangle is 10 cm and the width of the rectangle is 5 cm because 2(10)+2(5)=30
Other Questions
Solve x2 + 14x = 24 by completing the square. What is the solution set of the equation? a. {12, 2} b. {7, 7} c. {6, 4} d. {5, 5} Which technique do authors use to develop characters?detailing the time period, culture, and placemaking a statement that is a universal truthusing figures of speech and rhetorical devicesdescribing a character by its physical appearance, actions, and dialogue The clay for this pottery was acquired by My friends and i ____________________ pepe's party. i go you come on from A restaurant offers 7appetizers and 9 main courses. In how many ways can a person order a two-course meal? Ann worked 20 hours and made $200. how much money does she make per hour? When did the French Revolution begin and when did it last until? Which ratios are in a proportional relationship? A. 2 to 5 and 4 to 16 B. 2 to 3 and 4 to 6 C. 4 to 5 and 10 to 15 D. 4 to 5 and 8 to 12 what does internal and external mean? What invention helped farmers prevent cattlemen from driving their herds through farms? spotlight windmill barbed wire split-rail fencing Using the periodic table, which of the following elements has the most properties in common with calcium (Ca)?scandium (Sc)argon (Ar)potassium (K)magnesium (Mg) what is d for 3 4d14=155d4d A large sac that stores water,salts and other materials for the cell is called a A light bulb consumes 18900 watt-hours in 5 days and 6 hours. How many watt-hours does it consume per day? What provided the ability to travel where there was not a natural waterway? turnpike railroad canal steamship _______ is the protocol suite for the current Internet. A) TCP/IP B) NCP C) UNIX D) ACM Health-related physical fitness is defined as fitness related to some aspect of health. This type of physical fitness is primarily influenced by an individual's exercise habits; thus, it is a dynamic state and may change. Physical characteristics that constitute health-related physical fitness include strength and endurance of skeletal muscles, joint flexibility, body composition, and cardiorespiratory endurance. All these attributes change in response to appropriate physical conditioning programs, and all are related to health."exercise." Britannica School. Encyclopaedia Britannica, Inc., 2013. Web. 21 Oct. 2013.How is the word constitute used in this excerpt? To show that physical characteristics of physical fitness are dynamic To describe how exercise influences health-related physical fitness To indicate which types of physical fitness can change exercise habits To introduce elements that make up health-related physical fitness Which row of Pascals triangle would you use to expand (2x 10y)15? How would the acceleration of a chain of three shopping carts compare with the acceleration of a single cart if the same force acted on both? A. 1/3 as much the single B. 1/2 as much the single C. 3 times as much the single D. 2 times as much the single 18. When does the Dancing Devils of Yare celebration take place? (1 point) on Corpus Christi on New Year's Eve on Christmas Day on the 1st of May 19. Which of the following statements about Milka Duno is NOT true? (1 point) She holds four master's degrees. She appears in a Hollywood movie. She helped fight for Venezuelan Independence. She is the world's most successful female race car driver