a 120 page book has p lines to a page. if the number of lines were reduced by 3 on each page the number of pages would need to b
1 answer:
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Answer:
The answer to your question is 25 ft
Step-by-step explanation:
Data
height = 20 ft
leg = 15 ft
length of the line = ?
To solve this problem use the Pythagorean theorem.
Height = short leg = b
leg = long leg = a
length of the line = hypotenuse = c
- Substitution
c² = (20)² + (15)²
-Simplification
c² = 400 + 225
c² = 625
-Result
c =
c = 25 ft
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
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<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
