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Gre4nikov [31]
2 years ago
10

Write the next two terms in each of the following A.P's : 1. 3,6,9.... 2. -2,0,2...

Mathematics
2 answers:
hoa [83]2 years ago
8 0

soution -

3,6,9

a=3

d=6-3=3

ap series = 12 ,15

-2,0,2

a= -2

D= 0- (-2)

=2

ap series = 4,6

<h3 />

<u>I </u><u>hope </u><u>it </u><u>would </u><u>be </u><u>helpful </u><u>for </u><u>u </u>

topjm [15]2 years ago
3 0

Answer:

Below.

Step-by-step explanation:

1. The common difference is 3 so the next 2 terms are 12 and 15.

2.. The common difference is 2 so the next 2 terms are 4 and 6.

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\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

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3 years ago
What is the measure of each interior angle in a regular 24-gon?
kakasveta [241]
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Calculate the surface area of a solid box in the shape of a cube with side length 6cm.
eduard

Answer:

216 cm^2

Step-by-step explanation:

A cube has 6 congruent, square faces.

Each face has side length of 6 cm.

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SA = 6 * (6 cm)^2

SA = 6 * 36 cm^2

SA = 216 cm^2

3 0
3 years ago
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