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:
y+11=-2/3(x-6)
Step-by-step explanation:
To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).
Point-slope form:
y-y1=m(x-x1) → y+11=-2/3(x-6)
m represents the slope, which is -2/3 in this situation.
y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.
x1 represents the x coordinate, which is 6 in this situation.
Answer:
Step-by-step explanation:
<u>Sum of the angles of triangle equals 180</u>
- x + 12 + 2x - 29 + x + 5 = 180
<u>Simplified</u>
Answer:
59 patients
Step-by-step explanation:
Total patients Sam saw in a week = 236
Percentage of patients near-sighted = 25%
How many of the patients Sam saw were near-sighted?
Number of patients near-sighted = 25% of 236
= 25/100 × 236
= 0.25 × 236
= 59
Number of patients near-sighted = 59 patients
The number of patients Sam saw in a week that were near-sighted is 59 patients
