Answer/Step-by-step explanation:
1. ∠XVR = 180 - <XVW (angle on a straight line)
∠XVR = 180 - 55°
∠XVR = 125°
2. ∠RVS = <XVW (Vertical angles are congruent)
∠RVS = 55°
3. ∠WVS = ∠XVR (vertical angles are congruent)
∠WVS = 125°
4. ∠RST = <R + <RVS (exterior angle theorem)
<RST = 55 + 55
<RST = 110°
5. ∠RSV = 180 - (<R + <RVS) (sum of triangle)
∠RSV = 180 - (55 + 55)
∠RSV = 70°
6. ∠VSU = <RST (vertical angles are congruent)
<VSU = 70°
7. ∠UST = <RSV (vertical angles)
<UST = 70°
8. ∠TUS = 180 - (<UST + <T) (sum of triangle)
<TUS = 180 - (70 + 71)
<TUS = 39°
Answer:2. Both the populations of the Candy Kingdom and the Fire Kingdom are in decline; their populations
since 2010 are given by the functions below:
Cit) 1000 - 500
F(t) = 2500 - 1000
Will their populations ever be equal? If so, when will that happen and what will that population be?
Otherwise, briefly explain why their populations will never be equal.
Step-by-step explanation:
Answer:
4 ounces of corn and 4 ounces of squash
Step-by-step explanation:
Let S be the no. of ounces of squash
Let C be the no. of ounces of corn
C》2 --> (A)
S》C --> (B)
Total protein 》 3
½C + ¼S》3 --> (C)
Solve A and C simultaneously
½(2) + ¼S = 3
¼S = 2
S = 8
C = 2, S = 8
Solve B and C simultaneously
½S + ¼S = 3
¾S = 3
S = 4
C = 4, S = 4
Three possible extreme combinations
C = 2, S = 8: Total = 10
C = 4, S = 4: Total = 8
Minimum is 8 ounces