Answer:
- 9th, 10th and 11th terms; 32, 37 and 42
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Given AP:
We observe that:
- The first term is a = - 8,
- The common difference is d = -3 - (-8) = 2 - (-3) = 5.
Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
- aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13
The following two terms are:
- aₙ₊₁ = 5n - 13 + 5 = 5n - 8
- aₙ₊₂ = 5n - 8 + 5 = 5n - 3
Their sum is 111, set an equation and solve for n:
- 5n - 13 + 5n - 8 + 5n - 3 = 111
- 15n - 24 = 111
- 15n = 135
- n = 135/15
- n = 9
The three terms are 9th, 10th and 11th terms and they are:
- 5*9 - 13 = 45 - 13 = 32
- 32 + 5 = 37
- 37 + 5 = 42
Answers are in bold and underlined below:
2 x -4 +5 = <u>3</u>
2 x -2 +5 = <u>1</u>
2 x 0 + 5 = <u>5</u>
2 x 2 + 5 = <u>9</u>
Answer: 4 m
Step-by-step explanation:
Volume = length x width x height
240 = b x 7.5 x 8
240 divided by 7.5 is 32, and 32 divided by 8 is 4, so:
4 = b
I hope this helps!
The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
<em><u>Solution:</u></em>
Given that exterior angle of triangle is 140 degrees
The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
Given that adjacent angles are congruent
Let one of the non adjacent interior angles be "x"
x + x = 140
2x = 140
x = 70
So the two interior angles are 70 degrees and 70 degrees
Let us find the third interior angle
The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees
70 + 70 + third angle = 180
third angle = 180 - 70 - 70
third angle = 180 - 140
third angle = 40 degrees
Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees
I think the answer is 1 over 2 (0.5), thats if i understand what you’re saying