Answer: x = 6
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Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6
You need to multiply 25 by 18 to find the total.
25 x 18 = 450.
There are 450 chocolate bars in the large box
Count the amount of 1 bag then you know one bag. The same amount has to be in each bag. So just multiply it by 3. The answer per bag is 10 so there are 30 blocks
Answer:
Since
and
, then the quadrilateral ABCD is a parallelogram.
Step-by-step explanation:
First, we label each point of the quadrilateral with the help of a graphing tool. If the quadrilateral ABCD is a parallelogram, then
and
. If we know that
,
,
and
, then the measure of each vector is, respectively:








Since
and
, then the quadrilateral ABCD is a parallelogram.
Answer:
the third option is the correct