<span>Because G is the centroid of the triangle, therefore
AG = 2GF
That is,
5x + 4 = 2(3x - 1)
5x + 4 = 6x - 2
4 + 2 = 6x - 5x
6 = x
Therefore
AG = 5*6 + 4 = 34
GF = 3*6 - 1 = 17
A.F = AG + GF = 34 + 17 = 51
Answer: 51</span>
According to John Locke, <u>Experience</u> is how we acquire basic knowledge.
What explains why, in many of the problems, historical data is used is; Information changes rapidly.
<h3>What is the theory of John Locke?</h3>
1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.
Thus, the missing word in the question is "Experience".
2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.
Read more about John Locke at; brainly.com/question/9634224
#SPJ1
Answer:
6 < x < 30
Step-by-step explanation:
By the Hinge Theorem, we know that
Angle BAC > Angle DAC
The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.
When we compare the two angles 48 and (2x-12), we now know that 48 is larger.
48 > 2x-12
48+12 > 2x
60 > 2x
60/2 > x
x < 30
Furthermore, angle DAC can't be negative or zero
2x - 12 > 0
2x > 12
x > 6
Answer:
the first option
Step-by-step explanation:
okay so the line passes through the 2 on the y-axis making it the y-intercept
that means you can eliminate the second and third options
now to find the slope, you can use rise over run (y2-y1/x2-x1)
3-2/3-0 = 1/3
so the slope is 1/3
all together, the equation would be:
f(x) = 1/3x + 2
so the answer is the first option
