Find the sum of a third of (a+b) and a fifth of (a+b)
1 answer:
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Answer:
3 : 5, 4: 5
Step-by-step explanation:
Let the common multiplier of the given ratios be x.
Therefore, lengths of the legs of right triangle would be 3x and 4x
By Pythagoras Theorem:
Answer:
C
Step-by-step explanation:
The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.
x is the hypotenuse (side opposite of 90 degree angle).
We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.
For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:
<em>Now we can use property of radical to simplify:</em>
Correct answer is C
If the 2 given points are endpoints, then we're in business. The formula for the midpoint is 
. If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows: 
which simplifies to (13/2, 8). See? It's pretty simple once you know how to do it.