Suppose that ca = 12, cb = 20, df = 6, and fe = 10. which additional fact would guarantee that the triangles are similar? a) ab = 24 and de = 12 b) ab = 30 and de = 18 c) ab = 12 and de = 24 eliminate d) m∠a = m∠d

A) AB = 24 and DE = 12

Step-by-step explanation:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar. Then:

On the other hand:

So, the additional fact that would guarantee that the the triangles are similar is AB=24 and DE=12 given that:

So the three pairs of sides have the same ration, in consequence, the angles are also equal.

2 x t divided by n

step-by-step explanation:

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.