That's a Congruent Triangle question.
The first thing that we should to analize is it: What figure is EFGH? The question say for us that
and
, therefore, EFGH is a parallelogram because its parallel sides are congruents (equals).
Now, we should to proof that
. The simbol "≅" means congruence, that is,
means that the triangles EFH and GHF are equals.
Let's proof:
is a diagonal of the parallelogram EFGH. When we have a diagonal in a parallelogram, the opposite angles are congruents (look at the picture: the blue angles are congruent and the red angles are congruents too). Therefore,
and
.
Both triangle has a comum side: the diagonal
. The diagonal
is between two angles that we know that are congruents, Therefore, by the case ASA (Angle, Side, Angle), we proof that
.
KF = 8 units ( 16/2 = 8)
Angle DEK = 88 degrees ( 44 x 2 = 88)
Angle DFE = 90 degrees
I totally understand that was exactly how my life was what are the homework problems?
Multiply both sides of this fraction by i to cancel out the i in the denominator.
8 * i = 8i
3i * i = 3i^2 = -3
-(8i/3) is the simplified expression.
Answer:
0.7
Step-by-step explanation:
0.3+0.7=1.0=100%