Question

3. From the figure, x =
[
А
90°
103
B4
-c
C
5
DX
A) 10 B/ 15
C) 12
D) 25​

Answer 1

Answer:

x=15

Step-by-step explanation:

AC/BC=DC/AC

THEN,

AC^2=BC.DC

FROM QUESTION,

$(10 \sqrt{3}) {}^{2} = {x}^{2} + 5x \\ 300 = x {}^{2} + 5x \\ x {}^{2} + 5x - 300 = 0 \\ x {}^{2} + 20x - 15x + (20)( - 15) = 0 \\ x (x + 20) - 15(x + 20) = 0 \\ (x + 20)(x - 15) \\ \\ \\ x = - 20 \\ x = 15$

x can't be negative

so x = 15