What else would need to be congruent to show that abc=def by the aas theorm?

A. AC≅DF

Step-by-step explanation:

The AAS theorem says that if any two angles and any non-included side of a triangle are congruent to two angles and any non-included side of other triangle then the triangles are congruent.

In the given figure we have ΔABC and ΔDEF, in which

∠A≅∠D

∠B≅∠E

To prove these triangles congruent by AAS theorem , we need one pair of non included side.

i.e. it can be AC≅DF or BC≅EF

AC≅DF is given in the option .

Hence, option A is correct.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm