Let ∠RTS=∠RST = a (say)
∠QUA=∠QSU= b(say)
then we know , at point S, a+40+b=180. so, a+b=140 we'll use this later.
consider trianglePQR, ∠P+∠Q+∠R=180
i.e.P+(180-2b)+(180-2a)=180
P+180+180-2(a+b)=180 ⇒P+180-2(a+b)=0 ⇒P=2(140)- 180=280-180=100
hence,answer is E
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Answer:
d = 40/7
Step-by-step explanation:
Solve for d:
0.544444 = 28/(9 d)
0.544444 = 49/90:
49/90 = 28/(9 d)
49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:
28/(9 d) = 49/90
Take the reciprocal of both sides:
(9 d)/28 = 90/49
Multiply both sides by 28/9:
Answer: d = 40/7
Answer:
231/8 simplified is 28 7/8
Step-by-step explanation:
first you have to convert all mixed fractions into improper fractions so 8 1/4 will become 33/4 and 3 1/2 will become 7/2 and then just multiply and you get 231/8 which simplified is 28 7/8
