Based only on the information given in the diagram which congruence theorem or postulates could be given as reasons why abc = def check all that apply

a) AAS b) SAS  d) LL  f) LA

Step-by-step explanation:

Given is a diagram containing two right triangles.

ABC, DEF are the triangles

Given that

AB=DE

AC=DF

Angle A = Angle D (right angle)

Angle B = Angle E

Hence we have for two sides, one angle so ASA

Or two legs and containing angle  hence SAS

Also right triangle, one acute and one leg so LA axiom

Besides, two legs equal in right triangle, so LL axiom

AAS  SAS   LL   LA Hope this helps :)

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the answer is mp

step-by-step explanation: