Answer:
FH = 38
Step-by-step explanation:
Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH
The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other
thus,
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x= 10/2
x = 5
but Eg is 5x-6
and FH = 2EG
FH = 2(5x-6)
FH = 10x - 12
Substitute x = 5
FH = 10(5) -12
FH = 50-12
FH = 38
Thanks for the question!
Using the metric acronym:
King - Kilo-
Henry - Hecto-
Died - Deka-
By - Base
Drinking - deci-
Chocolate - centi-
Milk - milli-
Since hecto- is two up from base and 100 has 2 zeros. your answer is a hectoliter.
Hope this helps!