Answer:
22n⁸p² / m⁶
Step-by-step explanation:
Answer:
1. 9
2. 5
Step-by-step explanation:
Answer
Proof of (a)
Disagree with the ΔABD = ΔCBD by the SAS congruence postulate .
SAS congurence property
In this congurence property two sides and one angle of the two triangles are equal .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
but equal angles are not given
therefore disagree with the ΔABD = ΔCBD by the SAS congurence postulate .
Proof of (b)
SSS congurence property
In this congurence property three sides of the two triangles are equal .
In the ΔABD and ΔCBD .
(1) BD = BD ( Common sides of the ΔABD and ΔCBD )
(2) AB =BC (B is the midpoint of the AC i.e it bisect AC in the two equal parts.)
(3) AD=CD (Given )
ΔABD = ΔCBD by the SSS congurence theorem
Hence proved
Andy and Diana both got some pocket money from their aunt.
Andy spent all his money on collector's coins, he bought 5 of them.
Diana bought 3 of such coins, and she brought home 20 dollars of change.
after they came home their sister said "hah! I bet you I can find out how much each coin costs even if you don't tell me how much money your aunt gave you, if she gave you both the same amount!"
So, how much does each coin cost?
Algebraically you could represent it like this
2*5 + x*3 + y*4 = 25 Multiply 2*5
10 + 3x + 4y = 25 Subtract 10 from both sides.
3x + 4y = 15 Now try this. Let y = 2
3x + 4*2 = 15
3x + 8 = 15 Subtract 8 from both sides.
3x = 15 - 8
3x = 7 Ordinarily you would divide by 3 but the question doesn't let you.
7 is a neat number. You could use 4 + 3
So one answer is
2 fives.
3 Fours
1 Three
You could also do
2 fives
5 threes. Nothing says you must have a four.
You can also do.
3 fives
1 four
2 threes There is nothing to say you can't have another 5
