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4 years ago

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17

1 answer:

7 0

A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18

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Step-by-step explanation:

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2 years ago

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If you want to solve this by using equation the this would look like this:

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3 years ago

Select the correct answer.

Elis [28]

C would be the right answer

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2 years ago

Read 2 more answers

Construct a quadrilateral MINT such that MI= 5cm, IN = 6cm, NT = 7cm, TM=3cm and MN =9cm

Tems11 [23]

From the given dimensions, of MI, IN, NT, TM, and MN, the quadrilateral

MINT can be drawn as shown in the attached image.

<h3>What are the steps for the construction of MINT?</h3>

The given dimensions of the quadrilateral MINT are;

MI = 5 cm

IN = 6 cm

NT = 7 cm

TM = 3 cm

MN = 9 cm

The side MN is a diagonal of MINT, therefore;

ΔMIN, and ΔMTN are triangles with a common base = MN

The steps to construct MINT are therefore;

Step 1; Draw the line MN = 9 cm.

Step 2; Place the compass at point M and with a radius MI = 5 cm, draw an arc on one side of MN.

Step 3; Place the compass at N and with radius IN = 6 cm, draw an arc to intersect the arc dawn in step 1 above.

Step 4; Place an arc at point M and with radius TM = 3 cm draw an arc on the other side of MN.

Step 5; Place the compass at point N and with radius NT = 7 cm, draw an arc to intersect the arc drawn in step 3.

Step 6; Join the point of intersection of the arcs to points M and N to complete the quadrilateral MINT.

Please find attached the drawing (showing the construction arcs) of the

quadrilateral MINT created with MS Word.

Learn more about types of geometric construction here:

brainly.com/question/785568

brainly.com/question/8607612

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2 years ago

In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle OPQ = (9x-19)^{\circ}m∠OPQ=(9x−19) ∘ , \text{m}

kow [346]

Answer:

To find the measure of angle OPQ, we have two equations...

y+5x-17=180 because angles OPN and OPQ are supplementary...

AND

x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.

The equations...

5x+y=197

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solce the system of equations...

x=15

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Since we wanted to solve for y, 122 is the answer.

The measure of angle OPQ is 122.

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3 years ago