What is the length of AB?

AB =12

Step-by-step explanation:

Since the base angles are the same, the sides are the same length

4x = 2x+6

subtract 2x from each side

4x-2x = 2x+6-2x

2x = 6

Divide by 2

2x/2 =6/2

x =3

AB =4x

     =4(3)

AB =12

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.