QUADRANT 3 IS the right answer
Answer:
- Yes it is a right triangle
- The side lengths satisfy the Pythagorean theorem equation
Step-by-step explanation:
We can test these numbers to see if they satisfy the Pythagorean theorem equation:
15² = 9² + 12²
225 = 81 + 144 . . . . true
Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.
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You can recognize that the ratio of side lengths is ...
9 : 12 : 15 = 3 : 4 : 5
Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.
Answer
Find out the what was the price of the stereo .
To prove
Let us assume that the price of the stereo be x .
As given
Consumer Math The sales tax in the town where Amanda lives is 7%.
7% is written in the decimal form
= 0.07
As given
Amanda paid $35 in sales tax on a new stereo .
Than the equation becomes
x × 0.07 = 35
solving the above
x = $ 500
Therefore the price of the stereo is $ 500 .
Hence proved
Step-by-step explanation:
1/a = 1/b + 1/c
Multiply both sides by a.
1 = a/b + a/c
Multiply both sides by b.
b = a + ab/c
Multiply both sides by c.
bc = ac + ab
Subtract ab from both sides.
bc − ab = ac
Factor b.
b (c − a) = ac
Divide both sides by c − a.
b = ac / (c − a)
