Based on the calculations, the length of GF is equal to 26 units.
<h3>How to find the length of GF?</h3>
In Geometry, the centroid of any triangle always divides the lines in a ratio of 2:1. Thus, G divides line B F as follows:
2DG = BD
2(9x + 2) = 40
18x + 4 = 40
18x = 40 - 4
x = 36/18
x = 2.
Similarly, G divides line A F as follows:
2GF = A F
GF = A F/2
GF = (19x + 14)/2
GF = (19(2) + 14)/2
GF = 52/2
GF = 26 units.
Read more on centroid here: brainly.com/question/15015349
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Answer:
37 apples
Step-by-step explanation:
just add 5 to 32
<h3>
Answer: (4p^2+3)(p+2)</h3>
Work Shown:
I'm assuming you meant to write 4p^3+8p^2+3p+6
If so, then we would have these steps
4p^3+8p^2+3p+6
(4p^3+8p^2)+(3p+6)
4p^2(p+2)+3(p+2)
(4p^2+3)(p+2)
Answer:
n = -15 and n = 9. n = -15 is not reasonable because you can't have negative boxes or negative units of measurement.
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n^2 + 2n + 4n + 8 = 143
n^2 + 6n - 135 = 0
(n + 15)(n - 9) = 0
n + 15 = 0
n = -15
n - 9 = 0
n = 9
I got two solutions: n = -15 and n = 9. Only one is reasonable because you cannot have a negative number of boxes or negative weight.
Hope this helps!