Given the following information, find the length of the missing side. Leave your answer as a simplified radical. Answer options:

2

2√3

4√3

8√3

2√3

Step-by-step explanation:

Our focus is going to be on Triangle CDB,

BC = 4

∠DBC = 60°

Using SOH CAH TOA, we have;

Sine  60° = opposite / Hypotenus

√3/2 = CD / 4

4 *  √3/2  = CD

CD = 2 * √3

CD = 2√3

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.