Answer:
Let x = total number of apples picked by the prince
x=44
Step-by-step explanation:
1st troll payment
x-(0.5x+2)
x-0.5x-2
0.5x-2 (that is the amount of apples left after 1st troll payment)
2nd troll payment
(0.5x-2)-(0.5(0.5x-2)+2)
Simplifying,
(0.5x-2)-(0.25x-1+2)
(0.5x-2)-(0.25x+1)
0.5x-2-0.25x-1
0.25x-3 (apples remaining after 2nd troll payment)
3rd troll payment
(0.25x-3)-(0.5(0.25x-3)+2)=2
(0.25x-3)-(0.125x-1.5+2)=2
(0.25x-3)-(0.125x+0.5)=2
0.25x-3- 0.125x-0.5=2
0.125x-3.5=2
0.125x =2+3.5
0.125x=5.5
x=5.5/0.125 (divide both sides by 0.125)
=44 apples
Therefore total number of apples picked by the prince, x=44
It’s around 450 euros right now - to figure this out you multiply the number of pounds by the current exchange rate ( which you can look up)
Answer:
x = - 1
Step-by-step explanation:
Given
- 4(3x - 7) = 40 ( divide both sides by - 4 )
3x - 7 = - 10 ( add 7 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
Answer:
Option (2)
Step-by-step explanation:
Given:
AC is an angle bisector of ∠DAB and ∠DAB
m∠BCA ≅ m∠DCA
m∠BAC ≅ m∠DAC
To Prove:
ΔABC ≅ ΔADC
Solution:
Statements Reasons
1). m∠BCA ≅ m∠DCA 1). Given
2). m∠BAC ≅ m∠DAC 2). Given
3). AC ≅ AC 3). Reflexive property
4). ΔABC ≅ ΔADC 4). ASA property of congruence
Therefore, Option (2) will be the correct option.
Answer:
Yes
Step-by-step explanation:
