Question

WILL GIVE BRAINLIEST AND 5 STARS AND THANKS Enter the range of values for x 3 < x < ?

Answer 1

Answer:

3 < x < 7

Step-by-step explanation:

From the diagram; |AB| = |AC|

The length AB is calculated as;

$Sin\ 52^o = \frac{|BD|}{|AB|} \\\\|AB| = \frac{|BD|}{Sin\ 52^o} \\\\|AB| = \frac{12}{Sin\ 52^o} \\\\|AB| =15.228 \ m$

The length CD is calculated as;

$Sin \ 31^o = \frac{|CD|}{|AC|} \\\\|CD| = |AC| \ \times \ Sin \ 31^o \\\\|CD| = 15.228 \ \times \ 0.515\\\\|CD| = 7.84$

|CD| = 2x - 6

2x - 6  = 7.84

2x = 7.84 + 6

2x = 13.84

x = 13.84 / 2

x = 6.92

x ≅ 7

Thus, 3 < x < 7