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jarptica [38.1K]
1 year ago
7

The first three terms of a geometric sequence are 2, 7, and 24.5. What is the next term in the sequence? A 85.75 B 49 C 42D 29.

5 E 36.75
Mathematics
1 answer:
rewona [7]1 year ago
8 0

The next term is = 85.75

Detailed explanation

Step 1

Write out the sequence

2, 7, 24.5 ....

Step 2

The sequence is exponential

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If 70 is decreased by 50%, what is the new amount
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Answer:

35

Step-by-step explanation:

70 × 0.5 = 35

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70/2 = 35

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What kind of triangle has 25,15,20 degrees
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An impossible one...

Step-by-step explanation:

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Algebra Find the values for x and y in parallelogram ABCD. AE= x+5, EC=y, DE=2x+3, EB=y+2
olya-2409 [2.1K]

The values of x and y are ⇒ x = 4 and y = 9

Step-by-step explanation:

In a parallelogram

1. Each two opposite sides are equal and parallel

2. Each two opposite angles are equal

3. Its two diagonals bisect each other

In parallelogram ABCD

∵ Its diagonal AC and BD intersect each other at point E

∵ AC and DE bisect each other at E

∴ E is the mid-point of AC

∴ AE = EC

∴ E is the mid-point of BD

∴ DE = EB

∵ AE = x + 5

∵ EC = y

∵ AE = EC

∴ x + 5 = y ⇒ (1)

∵ DE = 2x + 3

∵ EB = y + 2

∵ DE = EB

∴ 2x + 3 = y + 2

- Subtract 2 from both sides

∴ 2x + 1 = y ⇒ (2)

Substitute y in equation (2) by equation (1)

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- Subtract x from both sides

∴ x + 1 = 5

- Subtract 1 from both sides

∴ x = 4

Substitute the value of x in equation (1) to find y

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The values of x and y are ⇒ x = 4 and y = 9

Learn more:

You can learn more about parallelograms in brainly.com/question/6779145

#LearnwithBrainly

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Step-by-step explanation:

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Given the diagram above, m∠Z is:
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Answer:

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This is all based on the fact there there are 360º in a quadrilateral.

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