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Elodia [21]
3 years ago
9

Find the 98th term of the arithmetic sequence 14, 10, 6, ...

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

Brainliest!!!!

Step-by-step explanation:

the equation is this...

y = -4x + 14

97 x -4 = -388

-388 + 14 = -374

<em>you might wonder why I did 97... that is becuase 14 is the first term</em>

topjm [15]3 years ago
6 0

Answer:

-374

Step-by-step explanation:

We know that a₁ = 14 and the common difference = -4 so the explicit rule is aₙ = 14 + (n - 1) * (-4) = -4n + 18. a₉₈ = -4 * 98 + 18 = -374.

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Suppose KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. Prove that A is equidistant from LM and KN.
Neporo4naja [7]

Answer:

This is proved by ASA congruent rule.

 Step-by-step explanation:

Given KLMN is a parallelogram, and that the bisectors of ∠K and ∠L meet at A. we have to prove that A is equidistant from LM and KN i.e we have to prove that AP=AQ

we know that the diagonals of parallelogram bisect each other therefore the the bisectors of ∠K and ∠L must be the diagonals.

In ΔAPN and ΔAQL

∠PNA=∠ALQ    (∵alternate angles)  

AN=AL   (∵diagonals of parallelogram bisect each other)

∠PAN=∠LAQ      (∵vertically opposite angles)

∴ By ASA rule ΔAPN ≅ ΔAQL

Hence, by CPCT  i.e Corresponding parts of congruent triangles PA=AQ

Hence, A is equidistant from LM and KN.

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3 years ago
Square root of 64 by division method
weeeeeb [17]

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6 0
2 years ago
Which transformations could have been used to create A'B'C'? Choose all that apply.
Eduardwww [97]

The correct transformation is a rotation of 180° around the origin followed by a translation of 3 units up and 1 unit to the left.

<h3>Which transformation is used to get A'B'C'?</h3>

To analyze this we can only follow one of the vertices of the triangle.

Let's follow A.

A starts at (3, 4). If we apply a rotation of 180° about the origin, we end up in the third quadrant in the coordinates:

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Now if you look at A', you can see that the coordinates are:

A' = (-4, -1)

To go from (-3, -4) to (-4, -1), we move one unit to the left and 3 units up.

Then the complete transformation is:

A rotation of 180° around the origin, followed by a translation of 3 units up and 1 unit to the left.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

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2 years ago
Nine less than the quotient of two and a number x
Sati [7]
Your answer is 2/x-9
4 0
3 years ago
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120-2x=30, what’s x?
KiRa [710]

Step-by-step explanation:

-2x=30-120

-2x = -90

=x = -90/-2

=x = +45

4 0
3 years ago
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