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vlada-n [284]
3 years ago
5

12, 3, -6, 15, ... what is the 44th term in this sequence

Mathematics
2 answers:
ale4655 [162]3 years ago
3 0

Answer:

the 44th term in this sequence is 3

Step-by-step explanation:

Ymorist [56]3 years ago
3 0
No the 44th term in the sequence is -375.
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LN bisects KLM into two congruent angles measuring (3x-4) and (4x-27). Find klm
Vanyuwa [196]
Answer:  The m ∡KLM is:  130° .
___________________________________________________________
Explanation:
__________________________________________________________
(3x − 4) = (4x − 27) ;  (Since these are "bisected, congruent angles", they are equal).

⇒ 3x − 4 = 4x − 27 ;

⇒ Subtract "4x" from  EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;

⇒    3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;

to get:

⇒  - 1x = -23 ;

⇒  Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;

⇒  -1x / -1 = -23 / -1 ;  to get:

⇒  x = 23;
___________________________________
To find m ∡KLM :

m ∡ KLM = (3x − 4) + (4x − 27) ;

{Note:  Remember:  (3x − 4) = (4x − 27) } ;

So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.

Let us start with: "(3x − 4)" . 

(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .

By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;

Let us try:

(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65.  Yes!
________________________________________________
So to find m ∡KLM:

(3x − 4) + (4x − 27) = 65 + 65 = 130° .
_______________________________________________
Alternate method:
_______________________________________________
At the point which we have:
_______________________________________________
To find m ∡KLM :

m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is:  "x = 23" ;
_______________________________________________

We can simply plug in our known value for "x" ; which is:  "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
                                                   = (69 − 4) + (92 − 7) = 65 + 65 = 130° .
_____________________________________________________________
{Note:  Using this method, we determine that each angle is equal; that is, "65° ".}.
______________________________________________________________
4 0
3 years ago
If Frances can paint 1/3 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls.
charle [14.2K]

Answer:

1/3 is 20

4 is x

C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Milan deposits $4000 in an account that pays simple interest at a rate of 5% per year. how much interest will he be paid in the
padilas [110]
I=prt
I=4,000×0.05×3
I=600
3 0
3 years ago
Find the common ratio of the following geometric sequence:<br> 4, 8, 16,....
GarryVolchara [31]
Here is the formula and answer

4 0
3 years ago
£2300 is invested for 4 years at 5% per year simple interest. Work out the total interest
Hatshy [7]

Answer: £460

Step-by-step explanation:

Use this formula to find the total interest I=\frac{P*R*T}{100}

I stands for interest, P is principal, R is rate, and T is time.

Principle = £2300

Rate = 5%

Time = 4 years

\frac{2,300*5*4}{100} =\frac{46,000}{100} =460

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)  

- Cutiepatutie ☺❀❤

6 0
3 years ago
Read 2 more answers
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