Answer:
We have 9 = 3^2;
Then, 9^x = (3^2)^x = 3^(2x);
We solve 3^(2x) = 3^40;
2x = 40;
x = 20 ÷ 2;
x = 10;
Step-by-step explanation:
The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.
.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5
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According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.
Answer:
Yes you would set both equal to 180
so for example
(x-24)+3x=180
Then solve for x
The price was reduced by 34%, so she paid 100-34 = 66% of the original price.
16,000 x 0.66 = 10,560
She paid $10,560
