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vovangra [49]
3 years ago
11

Find m<adc.please dhdhdhd

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0
They both are complementary angles i.e their sum must equals 90°

4x+ 31 + 6x + 39 = 90
10x + 70 = 90
10x = 90-70
10x = 20
x = 2


we have to find angle ADC
just put the value of x in that expression for that angle.

angle ADC = 6x + 39 = 6 (2)+39 = 12 + 39 = 51°

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Dont really understand how to do this
bija089 [108]

Answers:

t_{10} = -22 \ \text{ and } S_{10} = -85

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

Explanation:

t_1 = \text{first term} = 5\\t_2 = \text{first term}-3 = t_1 - 3 = 5-3 = 2

Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way

t_3 = t_2 - 3 = 2-3 = -1\\t_4 = t_3 - 3 = -1-3 = -4

and so on. This process may take a while to reach t_{10}

There's a shortcut. The nth term of any arithmetic sequence is

t_n = t_1+d(n-1)

We plug in t_1 = 5 \text{ and } d = -3 and simplify

t_n = t_1+d(n-1)\\t_n = 5+(-3)(n-1)\\t_n = 5-3n+3\\t_n = -3n+8

Then we can plug in various positive whole numbers for n to find the corresponding t_n value. For example, plug in n = 2

t_n = -3n+8\\t_2 = -3*2+8\\t_2 = -6+8\\t_2 = 2

which matches with the second term we found earlier. And,

tn = -3n+8\\t_{10} = -3*10+8\\t_{10} = -30+8\\t_{10} = \boldsymbol{-22} \ \textbf{ is the tenth term}

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

The notation S_{10} refers to the sum of the first ten terms t_1, t_2, \ldots, t_9, t_{10}

We could use either the long way or the shortcut above to find all t_1 through t_{10}. Then add those values up. Or we can take this shortcut below.

Sn = \text{sum of the first n terms of an arithmetic sequence}\\S_n = (n/2)*(t_1+t_n)\\S_{10} = (10/2)*(t_1+t_{10})\\S_{10} = (10/2)*(5-22)\\S_{10} = 5*(-17)\\\boldsymbol{S_{10} = -85}

The sum of the first ten terms is -85

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

As a check for S_{10}, here are the first ten terms:

  • t1 = 5
  • t2 = 2
  • t3 = -1
  • t4 = -4
  • t5 = -7
  • t6 = -10
  • t7 = -13
  • t8 = -16
  • t9 = -19
  • t10 = -22

Then adding said terms gets us...

5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85

This confirms that S_{10} = -85 is correct.

6 0
2 years ago
Solve for y hdgkgsydkydutskgxtisit
Feliz [49]

You said  X = (5y+1) / (y-2)

Multiply each side by (y-2):

X(y-2) = (5y+1)

Eliminate parentheses:

Xy - 2X = 5y + 1

Add  2X  to each side:

Xy = 5y + 1 + 2X

Subtract  5y  from each side:

(X-5)y = 1 + 2X

Divide each side by  (X-5):

<em>y = (1+2X) / (X-5)  </em>

7 0
3 years ago
Read 2 more answers
3 exponet 8×4+9÷1×56+57
nika2105 [10]
You would use PEMDAS

But since any number divided by 1 is the number by which it is divided by then you can eliminate that. Now your problem looks like this:
8✖️4➕9✖️56➕57

Since there are no parentheses or exponents then you would multiply.
8✖️4= 32
32➕9✖️56➕57

Then multiply the other multiplication problem.
9✖️56= 504
32➕504➕57

Now you can add all of the numbers together
32➕504=536
536➕57=593

Your answer is 593

Hope this helps! :3
4 0
3 years ago
Read 2 more answers
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Diano4ka-milaya [45]

Answer:

i cant see the link try reposting

Step-by-step explanation:

3 0
3 years ago
Which statement would be true if you evaluate the expression (560x70) ÷10
Marat540 [252]

Answer:

none

Step-by-step explanation:

No choice is correct.

The original expression has 560 x 70, the product of 560 and 70 inside the parentheses.

(560 x 70) ÷ 10 is 10 times smaller than 560 x 70

None of the choices show 560 x 70. They show 560 + 70 and 560 - 70.

Answer: none

8 0
3 years ago
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