Answer:
$100 prize = 15, $25 prize = 48
Step-by-step explanation:
Let,
$100 prize = x
$25 prize = y
=> x + y = 63 (1)
=> 100x + 25y = 2700 (2)
=> 100x/25 + 25y/25 = 2700/25
=> 4x + y = 108 (3)
On subtracting 2 and 3
=> 4x + y - (x + y) = 108 - 63
=> 4x + y - x - y = 45
=> 3x = 45
=> x = 15
=> 15 + y = 63
=> y = 63 - 15
=> y = 48
Answer:
85000$
Step-by-step explanation:
if you do 5000x5 you end up with 25000 which you add to the 60000. the outcome is your answer
Answer:
Onions- $1.20
Potatoes- $1.44
Step-by-step explanation:
.32p+.48n=
.32(4.5)+.48(2.5)=
1.44+1.2=264
Answer:
∠2 ≅ ∠B
Step-by-step explanation:
Let the triangle be ABC,
Given that,
∠A = 50°
∠C = 65°
Using angle-sum property of the triangle,
∠A + ∠B + ∠C = 180°
50° + ∠B + 65° = 180°
∵ ∠B = 65° ...(i)
A.T.Q.
Two horizontal lines are extended making 3 angles. Two angles out of them are 50° and 65°.
Since the adjacent angles comprising a straight line is equals to 180°.
so,
∠2 + 50° + 65° = 180°
∠2 + 115° = 180°
∠2 = 180° - 115°
∵ ∠2 = 65° ...(ii)
Using (i) and (ii),
∠2 ≅ ∠B
Therefore, ∠2 and ∠B are congruent to one another.