a)
FH = 102, FG = 5x + 9. HG = 9x - 5 <em>Given</em>
FG + HG = FH <em>Segment addition postulate</em>
5x + 9 + 9x - 5 = 102 <em>Substitution</em>
14x + 4 = 102 <em>Simplify (added like terms)</em>
14x = 98 <em>Subtraction property of equality</em>
x = 7 <em>Division property of equality</em>
b) FG = 5x + 9 = 5(7) + 9 = 35 + 9 = 44
c) HG = 9x - 5 = 9(7) - 5 = 63 - 5 = 58
Answers: a = 7, b = 44, c = 58
50
Step-by-step explanation:
Answer:
The volume of the square prism is 6.28 times the volume of the cylinder
Step-by-step explanation:
Volume of the square prism = cross-section * height
Volume of the cylinder = cross-section * height
Dividing one volume by the other, and replacing with data:
Volume of the square prism / Volume of the cylinder = 314/50 = 6.28
About 1/3.
Hope this helps :)
