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mamaluj [8]
3 years ago
15

Which of the following sequences of numbers are arithmetic sequences? Check all that apply.

Mathematics
2 answers:
Zanzabum3 years ago
7 0
In an Arithmetic sequence, the difference between two consecutive terms of the sequence remains the same. This difference is known as common difference.

If we observe the given options, we can note:
In option A, the difference between two consecutive terms is the same and is equal to 1.

In option B, the difference between two consecutive terms is the same and is equal to -2.

In option C, the difference is not the same.

In option D, the difference between two consecutive terms is the same and is equal to 5.

In option E, the difference is not the same.

So, the correct options are A,B and D
Nataliya [291]3 years ago
6 0
A, B, D
__________________
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Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
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Answer:

see below

Step-by-step explanation:

9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank

We are replacing 9 with 10 minus something

9 = 10 -1

9 x 8 = (10 x 8) - ( 1 x 8)

           80 - 8

             72

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3 kilograms of red hots and I
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△ABC is a right triangle with right angle C. Side AC¯¯¯¯¯¯¯¯ is 6 units longer than side BC¯¯¯¯¯¯¯¯. If the hypotenuse has lengt
Vladimir [108]

Given:

In △ABC is a right angle triangle.

AC is 6 units longer than side BC.

Hypotenuse=2\sqrt{17}

To find:

The length of AC.

Solution:

Let the length of BC be x.

So, Length of AC = x+6

According to the Pythagoras theorem, in a right angle triangle

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68=x^2+x^2+12x+36            [\because (a+b)^2=a^2+2ab+b^2]

Subtract 68 from both sides.

0=2x^2+12x+36-68

0=2x^2+12x-32

0=2(x^2+6x-16)

Divide both sides by 2.

x^2+6x-16=0

Splitting the middle term, we get

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(x+8)(x-2)=0

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AC=2+6

AC=8

Therefore, the length of AC is 8 units.

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In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?
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Answer: 45 degrees

Step-by-step explanation:

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