PLEASE HELP! Find the value of x.

Answer Options:
A. 12
B. 11
C. 10
D. 16

Explanation:

We use the intersecting chords theorem here.

This is the idea where multiplying the pieces of each chord lead to the same product

6*x = 5*12

6x = 60

x = 60/6

x = 10

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.