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
A^2 + 9 = 36 now solve subtract 9 from both sides to get a^2 = 27 then find the square root of 27 and that should be your answer so like 5.196 something
The answer to this question would be
OPTION B.In a conjunction, / is true when both / and / are
TRUE; otherwise, / is
FALSE.
A conjunction refers to a compound statement, developed by combining two statement often through the use of the word '
AND'. For example, the two statements, 'Roses are Red' (statement
p) .... 'Violets are Blue' (statement
q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.' When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that
in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).
Answer:
4x+7
Step-by-step explanation: