Answer:
B) ASA
Step-by-step explanation:
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles)
In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
Answer:
Yes
Step-by-step explanation:
They are similiar because the big triangle is a dialated version of the first one
Given that line PN is a perpendcular bisector of line AB, then angles APN and BPN are equal to 90 degrees each.
Also, given that line PN is an angle bisector to angle CPD and angle CPD measures x, then the measure of angle DPN is

.
Thus, the measure of angle DPB = angle BPN - angle DPN

Therefore,
Answer: I think it is B
Step-by-step explanation: