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
Step-by-step explanation:
- in order to know if the the point is on the line plug in the x coordinate to check if it gives you the y coordinate as an output.
- If you plug in the x coordinate and it gives you the given y coordinate then the point is on the given line
- Now let us plug in the value of x=-3
- now if you check plugging in the given x coordinate it does not give you the given y coordinate but -2
- therefore the point(-3,7) is not in the line but (-3,-2) is the point in the line.
Answer: 19 mile
Explanation:
Each track practice = 1 mile
And she had run 17 miles on her own.
After 2 track practices she would have run 17 mile + 2 mile = 19 mile
X - 4 is not an equation because it does not have an equal sign.
C is the answer, because 2 is prime.
