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Ira Lisetskai [31]
3 years ago
9

HELP QUICK ME QUICK PLEASE THANKS

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0
To solve this problem, we need to know the formula for the nth term of an arithmetic sequence. The formula is a_{n} = t₁ + (n-1)d, with a_{n} being the nth term, t₁ being the first term, and d being the distance between terms. Now we can substitute values to figure out what a_{n} is. When substituting, the equation becomes:

a_{n} = 12 + 29(-6)
a_{n} = -162

That means that the 30th term in this arithmetic sequence is -162. 
klemol [59]3 years ago
8 0
The answer would be D. -162
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FINDDD VALUE OF Y!!!!
solmaris [256]

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

7 0
3 years ago
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