Answer:
<h2>first blank:</h2><h2>c=sqrt(a^2+b^2)</h2><h2>second blank:</h2><h2>c=sqrt((8-2)^2+(-5-3)^2)</h2><h2 />
Step-by-step explanation:
c^2=a^2+b^2
sqrt(c^2)=sqrt(a^2+b^2)
c=sqrt(a^2+b^2)
c=sqrt((x2-x1)^2+(y2-y1)^2)
c=sqrt((8-2)^2+(-5-3)^2)
4p - 5(p + 6)
= 4p - 5p - 30
= -p - 30
-------------------------------------------------
Answer: - p - 30
-------------------------------------------------
Answer:
The regular price was $53.85
Step-by-step explanation:
78% = $42
42 ÷ 78 x 100 = 100% = $53.85 (when rounded to 2 d.p)
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.
