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
Answer:
5
Step-by-step explanation:
86 and 94 :) supplementary angles add up to 180 degrees while complementary add up to 90 degrees
Answer:
The appropriate test for the investigation is;
E. A chi-square test of independence
Step-by-step explanation:
The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables
The chi-square test for independence is used for the analysis of contingency (frequency) table
Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence
First thing you need to do is find the slope. The slope must be opposite in sign and flipped.
