Answer:
n = 14
Step-by-step explanation:
7n +9 = -1+6(n+4)
Distribute
7n+9 = -1 +6n+24
Combine like terms
7n +9 = 6n +23
Subtract 6n from each side
7n -6n+9 = 6n-6n +23
n+9 = 23
Subtract 9 from each side
n+9-9=23-9
LN = 15
The arrows on the line segments indicate they are parallel.
<u>Triangle Proportionality Theorem</u>
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.
Given:
⇒ LK = JL - JK = 30 - 18 = 12
Substituting the values into the equation and solving for LN:
Factors of 539:1, 7, 11, 49, 77, 539Factors of 1540:1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
Common Factors: 1, 7, 11, 77GCF (greatest common factor) = 77
Hope this helps. :)
nearest cent is as is, but if you are rounding to the nearest dollar it would be $9