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Sliva [168]
3 years ago
11

Find two consecutive odd integers such that seven times the first equals five times the second.

Mathematics
1 answer:
fredd [130]3 years ago
8 0

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

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Line segment TS is tangent to circle O at point N.
garik1379 [7]

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

<em>Comment on the question and answer</em>

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

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We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

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2 years ago
A monomial of the 2nd degree with a leading coefficient of 3
Rzqust [24]

Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3

Solution:

Monomial is an algebraic expression with only one term.

Option A: 3 n^{2}-1

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It is not true.

Option B: 3 n-n^{2}

It is not a monomial because it have 2 terms.

It is not true.

Option C: 3 n^{2}

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Leading coefficient means the value before variable.

Leading coefficient = 3

It is true.

Option D: 2n^3

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