I think its C: 2 hours. sry if its wrong
Answer:
1) x = 71°, 2) x = 27°, 3) x= 32°
Step-by-step explanation:
1) Rectangle ABCD.
∠D = 90°
From ΔABE.
∠EAB +∠ABE + ∠BEA = 180°
45 + 90 +∠BEA = 180
∠BEA = 45
∠BEA + ∠AED +∠DEC = 180 °, because ∠BEC is a straight angle
45 + x + 64 = 180
x = 71°
2) Δ XYZ is equilateral, all angles = 60°.
∠YZX = 60°.
∠YZW = 180°, because it is a straight angle.
∠YZX + ∠XZW= 180
60 + ∠XZW= 180
∠XZW = 120.
From ΔXZW
∠ZXW + ∠XWZ + WZX = 180
x + 33 + 120 = 180
x = 27°
3) In ΔPQR,
PQ = PR, so ∠PQR = ∠PRQ = 69°
∠PRQ + ∠PRS = 180, because ∠QRS = 180° as straight angle.
∠PRQ + ∠PRS = 180
69 + ∠PRS = 180
∠PRS = 111°.
From ΔPRS
∠PRS + ∠RSP + ∠SPR = 180
111 + 37 + ∠SPR = 180
111 + 37 + x= 180
x = 32
x is some whole number so 3x represents the number of apples, 5x is the number of oranges and 6x is the number of ponkans. The numbers 3x, 5x and 6x are also whole numbers as well. They add up to 256 total pieces of fruit. Solve the equation below for x
3x+5x+6x = 256
14x = 256
14x/14 = 256/14
x = 18.29
since x is not a whole number, there is something wrong with the initial problem. Please double check to make sure there isn't a typo.
Answer:
3628800
Step-by-step explanation:
The class has a total number of 10 students.
4men + 6women = 10 pupils
No two students scored the same score
Therefore, this implies that there would be 10! Scores
10! = 3628800
But if the men ranked amongst themselves and the women too amongst themselves we would have
(6!)(4!) = 17280