As always, the sum of the measures of the angles in a triangle is 180°.
(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4
a) The value of x is 30.
Answer
Proof of (a)
Disagree with the ΔABD = ΔCBD by the SAS congruence postulate .
SAS congurence property
In this congurence property two sides and one angle of the two triangles are equal .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
but equal angles are not given
therefore disagree with the ΔABD = ΔCBD by the SAS congurence postulate .
Proof of (b)
SSS congurence property
In this congurence property three sides of the two triangles are equal .
In the ΔABD and ΔCBD .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
(3) AD=CD (Given )
ΔABD = ΔCBD by the SSS congurence theorem
Hence proved
you add +50 dollars in ur account then -20
Answer:
(-5,2)
Step-by-step explanation:
