Answer$18.12
Step-by-step explanation:
24.99+5.25-12.12=$18.12
Answer:
A = E and B = D
Step-by-step explanation:
AAS means triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. In this, A corresponds to E and B to D. BC and CD are congruent. Therefore the triangles are congruent
The correct answer is the first option -
ninth root of x squared.
To see how I got that answer, take a look at the attachment below.
Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.
In your case, we have that every point lying on AC has the same distance from B and D.
So, in particular, we have EB=ED, because E lies on AC.
Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.
This means that triangles ABE and ADE have:
- AD=AB because ABD is isosceles
- EB=ED because AC is the perpendicular bisector of BD
- AE in common
So, their sides are all equal, and thus they are congruent.
