We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=
. Hence CM=GC+GM=3*
. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
Hence, we calculate from this that AC^2= 28, hence AC=2*
=BC. Thus, the perimeter of the triangle is 2+4*
.
Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
The answer is b)04 I did this on my test and got it correct
