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Anarel [89]
3 years ago
13

What is two consecutive integers whose sum is 35

Mathematics
1 answer:
Gelneren [198K]3 years ago
7 0

Consecutive= One after another

17 + 18 = 35

Your two consecutive numbers are 17 and 18

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Which statement is true regarding the angles in the figure below?
Nesterboy [21]

An exterior angle is an angle supplementary to one of the interior angles.  

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

8 0
3 years ago
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An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
3 years ago
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A cuboid has a square base.
padilas [110]

The length of one side of the square base is 8.5 centimeters.

<u>Given the following data:</u>

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  • Height = 12 cm

To find the length of one side of the square base:

Mathematically, the volume of a cuboid is given by the formula:

Volume = Base \; area × Height

Substituting the given values, we have:

867 = Base \; area × 12

Base\;area = \frac{867}{12}

Base area = 72.225 cm^2

Now, we can find the length by using the formula:

Area \;of\;a \;square = length^2

72.25 = length^2

Length = \sqrt{72.25}

<em>Length</em><em> = </em><em>8.5 centimeters</em>.

Therefore, the length of one side of the square base is 8.5 centimeters.

Find more information: brainly.com/question/11037225

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Alex Ar [27]
Is there a ratio? bc that doesnt look like the full question
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3 years ago
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Answer:

I've done this question: Its batch 5

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