A triangle weighs 3 grams, and a circle weighs 6 grams. Use this applet to help find the weight of a square.
1 answer:
Answer: 3.75 g
Step-by-step explanation:
Assume the weight of the square is x.
The hanger is in balance so the left side is equal to the right side.
Equation therefore is:
Triangle + Square + 3 * circle = 5* square + circle
3 + x + (3 * 6) = 5x + 6
3 + x + 18 = 5x + 6
5x - x = 3 + 18 - 6
4x = 15
x = 15/4
x = 3.75 g
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Answer:
The coordinates of B are (10,2)
Step-by-step explanation:
Hi there!
We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)
We want to find the coordinates of point B
The midpoint formula is , where
and
are points. In this case, the point C has the values of
, and B has the values of
We know that coordinates of M equal
In other words,
Let's plug 2 for and 10 for
So:
Multiply both sides by 2
Subtract 2 from both sides in the first equation to find the value of :
Now, for the second equation, subtract 10 from both sides to find the value of
Now substitute these values for
So the coordinates of point B are (10, 2)
Hope this helps!