Given:
7 acres planted with peas and carrots.
peas represented by p. carrots represented by c.
p + c = 7
2,000 per acre of peas
1,000 per acre of carrots
goal income: 7,000
2000p + 1000c = 7000
The constraint in his system of equation would be: p + c = 7
Answer:
-2.41: -2.14: -2.1: -11/8: 7/50
Point and line
Explanation : Parallel lines are two or more lines that do not intersect in any point. This definition uses "point" and "line," which are two of the undefined terms in geometry.
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When the question says that triangle ABC ~ triangle DEF, that means the triangles are similar. This means that their proportions are the same.
In triangle ABC, side length AB is the equivalent of side length DE in triangle DEF.
Since the proportions must be the same, we can take the known side from triangle ABC, find the equivalent of it on triangle DEF, and find the proportions.
We already found that side length AB ~ side length DE.
Now we can divide the lengths to find the proportions.
28 / 8 = 3.5
This means that each side on triangle ABC will be 3.5 times greater than the equivalent side on triangle DEF.
The length of AC in triangle ABC is 3.5 times the length of DF in triangle DEF.
Side length DF is 10.
Multiply 3.5 by 10 to get the length of AC.
3.5 • 10 = 35
So the length of AC is 35 units.
Answer:
Side length AC in triangle ABC is 35 units.
Hope this helps!
