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:
it should be 1.5 inches.....
Answer is 32 books
So i am not sure if the answer listed there are correct
But this is the way you solve it
x=number of books
change 64% percent to a decimal, 0.64
Put everyhting into equation
0.64×50=x, then solve
x=32
64% of 50 books is 32 books
Say the other number is a. The sum is a+P, which also equals 24.
Write it as, a+P=24.
Now subtract P from both sides.
you get, a = 24-P
So, the other number in terms of P is 24 - P
Answer:
3:4
Step-by-step explanation:
Before we start to deal with the ratio, we need all lengths in the same units.
The width is 18 inches.
The height is 2 feet.
Let's convert the height to inches. Then we will have both dimensions in the same units, inches.
2 ft * (12 in.)/ft = 24 in.
Now we have:
width = 18 in.
height = 24 in.
ratio of width to height = 18 in. to 24 in. = 18/24 = 3/4 = 3:4