Answer:
A,
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + b^2 = 9^2
64 + b^2 = 81
b^2 = 17
b =
Answer:
is the answer it's was helpful to you
Answer: a) 83, b) 28, c) 14, d) 28.
Step-by-step explanation:
Since we have given that
n(B) = 69
n(Br)=90
n(C)=59
n(B∩Br)=28
n(B∩C)=20
n(Br∩C)=24
n(B∩Br∩C)=10
a) How many of the 269 college students do not like any of these three vegetables?
n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)
n(B∪Br∪C)=
So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83
b) How many like broccoli only?
n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))
n(only Br)=
c) How many like broccoli AND cauliflower but not Brussels sprouts?
n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)
n(Br∩C-B)=
d) How many like neither Brussels sprouts nor cauliflower?
n(B'∪C')=n(only Br)= 28
Hence, a) 83, b) 28, c) 14, d) 28.
Answer:
Step-by-step explanation:
1)Yes
In ΔABC and ΔDCE,
AC =CE {GIVEN}
∠ACB = ∠ DCE (Veritcally opposite angles)
BC =CD {GIVEN}
ΔABC ≅ ΔDCE {Side Angle Side - SAS CONGRUENCE}
3) Yes
In ΔRST and ΔVUT,
∠RST = ∠VUT = 90°{GIVEN}
ST =TU {GIVEN}
∠RTS = ∠ VTU (Veritcally opposite angles)
ΔRST ≅ ΔVUT { Angle Side Angle - ASA CONGRUENCE}
4)Yes
In ΔDEF and ΔDHG,
ED = DH {GIVEN}
∠EDF = ∠ GDH (Veritcally opposite angles)
FD = DG {GIVEN}
ΔDEF ≅ ΔDHG {Side Angle Side - SAS CONGRUENCE}
2) NO
Answer:
10%
Step-by-step explanation: