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:
6 + 3
or 6 - 3
Step-by-step explanation:
x^2 - 12x + 36 = 90
x^2 - 12x - 54 = 0
x = 
a = 1, b= -12, c= -54
6 + 3
or 6 - 3
Equation which is correct
792 × 5 = 700 × 5 + 90 × 5 + 2 × 5
The income that you can save from each biweekly paycheck is
.. $1626 -6.2%*1626 -1.45%*1626 -85 -225 -775 = $416.61
After 14 pay periods, you will have saved
.. 14*$416.61 = $5832.54
This is more than your estimated trip requirement.
c. $5833; yes
With one cup of sugar, you need five cups of water. For one cup, you divide one by five, which would be 1/5 cups of sugar.