
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.



<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>


Do cross multiplication, we get

Divide by 2x on both sides, we get

Solve for x first
-6x - 42 = -4x -2
-6x = -4x + 40
- 2x = 40
X = -20
The equation has one solution
Tell whether each question can be written in the form y = mx + b
y = 8 - x^2 NO
y = 4 + x YES
y = 3 - 2x YES
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units