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astra-53 [7]
3 years ago
14

Find the common ratio for this geometric sequence

Mathematics
2 answers:
RSB [31]3 years ago
7 0

<u>Answer:</u>

The correct answer option is A. 1/4.

<u>Step-by-step explanation:</u>

In a geometric sequence, the common ratio is found by dividing a term by its preceding term.

For the following given geometric sequence, we can find the common ratio by dividing the second term by the first one or by dividing the 3rd or 4th term by their respective preceding terms.

Common ratio = \frac {\frac { 1 } { 2 } } { 2 } = \frac { 1 } { 4 }

GenaCL600 [577]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The common ratio of a geometric sequence is found by dividing any term (after the first term) by the term before it.

Let's take the 2nd term, 2, and divide it by the previous term, which is 8.

So

\frac{2}{8}=\frac{1}{4}

Thus, the common ratio = 1/4

Choice A is right.

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10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to
xxTIMURxx [149]

<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>

6) AB = DE (corresponding parts of congruent triangles are equal)

4 0
2 years ago
Abc~xyz with ab=16 and xy=24 if the length of the median of the smaller triangle is 6in how long is the corresponding median of
Zigmanuir [339]

Answer:

9 inches

Step-by-step explanation:

Since the triangle are similar then the ratios of corresponding sides are equal

let x be the longer median, then

\frac{16}{24} = \frac{6}{x} ( cross- multiply )

16x = 6 × 24 = 144 ( divide both sides by 16 )

x = 9



7 0
4 years ago
What is the least common multiple of 3, 2, and 9?
saveliy_v [14]

Answer:

18 is the LCM

3 0
3 years ago
Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up
Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0
3 years ago
Find the measure of one angle of the regular polygon.​
Sedbober [7]

Answer:

3 x 180=540

540/5 =108

3 0
3 years ago
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