Can you help me find x please

This question is a problem under "Enlargement and Similarities"

Triangle ABC is enlarged to form triangle ADE.

This means AB is enlarged to form AD and CB is enlarged to form ED. So I'm order to find x we compare the ratio of AD and AB to CB and ED.

AB/AD =CB/ED

9/(9+6) = 3/x

=9/15 = 3/x

Multiplying through by 15x

= 9x =45

= x= 45/9

=x=5

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.

only 10/60 isn't equivalent

hope this : )