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4 years ago

What is the general rule for the arithmetic sequence? 15, 12, 9, 6, …

1 answer:

3 0

<span>15, 12, 9, 6, …
here first term (a)= 15
common difference (d) = 12-15 = 33

The nth term is given by

$a_n=a+(n-1)d\ = 15 + (n-1)(-3)=\boxed{18-3n}$
</span>

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Julie is playing in a basketball tournament and scored 24 points in her first game. If she averages over 20 points for both game

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3 years ago

what is the geometric mean of 81 and 4 but it has to be in square root form. an example is. give the geometric mean of 3 and 4 t

Darya [45]

Geometric mean = √ab
G.M. = √81 * 4
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G.M. = 18
In short, Your Answer would be 18

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3 years ago

Prove ΔPAB is isosceles.

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Answer:

See explanation

Step-by-step explanation:

If $PX\cong PY,$ then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

$\angle 1\cong \angle 2$

and

$m\angle 1=m\angle 2$

Angles 1 and 3 are supplementary, so

$m\angle 3=180^{\circ}-m\angle 1$

Angles 2 and 4 are supplementary, so

$m\angle 4=180^{\circ}-m\angle 2$

By substitution property,

$m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3$

Hence,

$\angle 3\cong \angle 4$

Consider triangles APX and BPY. In these triangles:

$PX\cong PY$ - given;
$\angle 5\cong \angle 6$ - given;
$\angle 3\cong \angle 4$ - proven,

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Congruent triangles have congruent corresponding sides, then

$AP\cong BP$

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4 years ago

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