Answer:

Step-by-step explanation:



For the last 2 questions,
1. 9/10
2. 7/12
∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12
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
Sqrt(50) = sqrt(25*2) = sqrt(25) * sqrt(2) = 5*sqrt 2, answer is A