Answer:
See below.
Step-by-step explanation:
By definition the median of the triangle bisects the base of the isosceles triangle.
We need to prove that the 2 triangles formed by the median are congruent.
If the 2 triangles are ABD and ACD where BD is the median and < ABC is the angle from which BD is drawn.
BD = BD ( the common side)
AD = DC ( because BD is the median).
AB = AC ( because ABC is an isosceles triangle).
So Triangles ABD and ACD are congruent by SSS.
Therefore m < ABD = m < CBD, so BD is the bisector of < ABC.
To prove BD is also the altitude:
Triangles ABD and CBD are congruent as we have just proven. Therefore the
of measure of the base angle ABD = m < CBD . Also they are adjacent angles ( on the same line) so they add up to 180.
Therefore angles ABD and CBD are both right angles and BD is the altitude of triangle ABC.
Answer:
Yes, the student is correct
Step-by-step explanation:
Given
Required
Does it represent the x intercept
At the x intercept, the value of x is 0.
So, the function 
becomes 
can be compared to
Hence, the student is correct
Yes. If we wanted to get even more specific, -2 is an integer, which falls under the label of the real numbers. √-2, on the other hand, is an imaginary number. The square root of -1 doesn't exist in the real numbers, so we invent a new number i with the property that i² = -1. Blending real and imaginary numbers together creates <em>complex numbers, </em>numbers with a real and imaginary part. This extension of the number system is tremendously useful because it essentially makes numbers two-dimensional, allowing us to manipulate and study them through a geometric lens.
Answer: It would be 50,000
Step-by-step explanation: If it was 50,500 - 50,999 it would be : 51,000
Hope it helped out :)
