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garik1379 [7]
2 years ago
11

Is this answer correct?

Mathematics
2 answers:
ludmilkaskok [199]2 years ago
6 0

Answer:

yes i belive so

Step-by-step explanation:

lakkis [162]2 years ago
5 0

Answer:

yes

Step-by-step explanation:

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
Lyrx [107]

Answer:

  (a, b, c) = (30°, 60°, 105°)

Step-by-step explanation:

Angle "a" and 30° are vertical angles, hence equal.

Angle "b" and angle "a" are complementary angles, so b = 90° -30° = 60°.

Angle "c" is supplementary to the one marked 75°, so is 180° -75° = 105°.

___

Angles "a" and "b" are complementary because the sum of angles in a triangle is 180° and the third angle in that triangle is 90°. Then ...

  a+b = 180°-90° = 90°

___

75° and "c" are supplementary, because they are linear angles. The angle measure of a line is 180°, so that is their total measure.

6 0
3 years ago
the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t
777dan777 [17]

Answer:

  • ratio: 2/3
  • sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

  a2 = a1·r^(2-1) = a1·r

  a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

  a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

  r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

  a2 = 18 = a1·(2/3)

  a1 = (3/2)·18 = 27

__

The sum of the first 6 terms is ...

  Sn = a1·(r^n -1)/(r -1)

  S6 = 27·((2/3)^6 -1)/(2/3 -1)

  S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

  27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0
3 years ago
What is the exact circumference of the circle?
Delicious77 [7]

For this case, we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: Is the diameter of the circle given by 2r, that is, twice the radius.

If we have a circle with a diameter equal to 8cm, then the circumference is given by:

C = \pi * 8 \ cm

ANswer:

Option C

8 \pi \ cm

8 0
3 years ago
Read 2 more answers
Can anyone help me? is it a b c or d
Nataly_w [17]

Answer: choice a

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

so it has to be in between 9 and 5

7+2=9

2+x>7

  --> x>5

however, it can't be 5 or 9

Hope this helps! <3

5 0
3 years ago
Keith’s dad is 44 years old if this is 4 years less than three times Keith’s age how old is Keith
Sergeeva-Olga [200]

Answer:

13

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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