I and III seem to be correct, II doesn't because, for example, if x = w = z = t = 70 and y = u = 40, then all three pairs of vertical angles in the figure have equal measure and the given condition x + y = u + w stands. But it means y is not equal to w.
Since y=x+3 (given)
Put value of y in equation x+y=(-3)
x+x+3=(-3)
2x=(-6)
x=(-3)
Put x=(-3) in x+y=(-3)
(-3)+y=(-3)
y=0
So, x=(-3)
y=0
Answer:
r = 10 cm
Step-by-step explanation:
r² = 8² + 6²
r² = 64 + 36 = 100
r = 10 cm
Answer: g > 0
Step-by-step explanation:
Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !