Check the picture below.
now, an angle bisector I assume, since it intersects the opposite segment at D and then at E. An angle bisector cuts an angle in two equal halves, so if ∡CAB is 82°, that just means that ∡CAE is one of those halves, or 41°.
Answer:
2) 3/4 of the girls did not have 1 piece bathing suits
3) 4/6 were at the kiddie pool
4) 1/3 was boys
sorry if this was wrong
Answer:
divide the 32 by 4:
then the equation becomes:
8 x 9 x 5 = 360
this is the same as 32 x 9 x 5/4 = 360
Answer:
Its 60 degrees
Step-by-step explanation:
Opposite angles are equal so then CGE is the same as FGD and since angle CGB is a right angle we can subract the 30 from 90 and get a 60
Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
