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charle [14.2K]
3 years ago
6

Which sequence is arithmetic?

Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

11, 14, 17, 20

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Consider 2, 6, 18, 54

6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic

Consider 3, 6, 12, 24

6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic

Consider 11, 14, 17, 20

14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic

Consider 7, 11, 13, 18

11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic

The arithmetic sequence is 11, 14, 17, 20

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What is the answer I’m not sure I’m right
trasher [3.6K]

Answer:

x=0

Step-by-step explanation:

If you combine like terms it is x^2 +6x -27=-27

x^2 +6x =0

x^2=0

x=0

3 0
3 years ago
Which is the graph of the linear inequality 1/2 x-2y>-6 ?
larisa86 [58]

Answer:

<h2>Your Answer is C!!!!!!!!!</h2>

Steps:

\frac{1}{2} x-2y>-6

Add 2y to both sides:

\frac{1}{2} x-2y+2y>-6+2y

Simplify:

\frac{1}{2}x>-6+2y

Multiply both sides by 2:

2·\frac{1}{2}x>-2·6+2·2y

Simplify:

x>-12+4y

5 0
3 years ago
A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 ​hours?
jolli1 [7]

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

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6 0
3 years ago
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.​
Zielflug [23.3K]

Answer:

See Explanation

Step-by-step explanation:

For ASA

\angle R \cong \angle E

RQ \cong  EF

\angle Q \cong \angle F

\triangle PRQ \cong \triangle GEF

For AAS

\angle P \cong \angle G

\angle R \cong \angle E

RQ \cong  EF

\triangle PRQ \cong \triangle GEF

3 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures 22 2 units.
Aleonysh [2.5K]

Answer:

Option C.

Step-by-step explanation:

Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.

Let x be the length of one leg.

From the given figure it is clear that length of both legs are same.

According to the Pythagoras theorem, in a right angled triangle

(leg_1)^2+(leg_2)^2=hypotenuse^2

Substitute leg_1=leg_2=x, hypotenuse=22\sqrt{2} in the above formula.

(x)^2+(x)^2=(22\sqrt{2})^2

2x^2=(22)^2(\sqrt{2})^2

2x^2=2(22)^2

Divide both sides by 2.

x^2=(22)^2

Taking square root on both sides.

x=22

The length of one leg is 22 units.

Therefore, the correct option is C.

6 0
3 years ago
Read 2 more answers
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