Answer:
Step-by-step explanation:
In ΔABC, we have,
∠B=2∠C or ∠B=2y where ∠C=y
AD is the bisector of ∠BAC. So, Let ∠BAD=∠CAD=x
Let BP be the bisector of ∠ABC.
In ΔBPC, we have
∠CBP = ∠BCP = y ⇒ BP = PC ... (1)
Now, in ΔABP and ΔDCP, we have
∠ABP = ∠DCP = y
AB = DC [Given]
and, BP = PC [Using (1)]
So, by SAS congruence criterion, we have
Δ ABP ≅ Δ DCP
Therefore
∠BAP = ∠ CDP = 2x and AP = DP ,
So in Δ APD, AP=DP
=> ∠ADP = ∠DAP = x
In ΔABD, we have
∠ADC = ∠ABD + BAD ⇒ 3x= 2y + x
⇒ x = y
In ΔABC, we have
∠A + ∠B + ∠C = 180°
⇒ 2x + 2y + y = 180°
⇒ 5x = 180°
⇒ x = 36°
Hence, ∠BAC = 2x = 72°
Answer:
$780
Step-by-step explanation:
$13000×0.06=$780 in sales tax
Answer:
4y+32
Step-by-step explanation:
you distribute the 4 to the y and the 8
4 x y= 4y
4 x 8= 32
keep the plus sign because you can’t add a variable (4y) to a non variable (32)
Answer:
C
Step-by-step explanation:
Both are endpoints