<h3>
Answer: SSS</h3>
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Explanation:
The sides shown by the single tickmark are the same length. That's one "S" of "SSS".
The sides shown with double tickmarks are the same length. This is another "S" of "SSS".
Lastly, the third unmarked sides of each triangle overlap together perfectly. We consider this a shared side. They are the same length due to the reflexive property. This is the third "S" of "SSS".
The order of the "S" terms mentioned above doesn't matter. All that matters is that we have three pairs of congruent sides. This is enough to use the SSS congruence theorem to prove the two triangles are congruent.
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Extra info:
We don't have any information about the angles, so we cannot use ASA, SAS, or AAS.
We can't use HL because that only applies to right triangles.
1) 20x+5y=120
Stp1: 5y=120-20x
Stp2: 5y=(120/5 and -20x/5)= [y=24-4x]
finding x:
20x+5(24-4x)=120
Stp1: 5*24=120,-4x*5=-20
20x+120-20x=120
Stp2: subtract 120 on both sides of = sign
20x-20x=0
Stp3: subtract the variables:
[x=0]
finding y:
20(0)+5y=120
stp1: multiply 20*0
5y=120
stp2: divide 120 by 5
[y=24]
2) 10x+7.5y=80
Stp1: move 7.5y to other sign of =
10x=80-7.5y
Stp2: divide by 10
[x=8-.75y]
substitute x and re do original:
stp1: 10(8-.75y)+7.5y=80
stp2: 80-7.5y+7.5y=80
stp3: subtract variabled num. with variabled num. and whole num. with whole number: [y=0]
solve for x:
10x-7.5(0)=80
10x=80
[x=8]
check:
10(8)+7.5(0)=80
80+0=80
[80=80]
Yea it does because 16 will equal exactly 1 pound
5d=17.1
d=17.1÷5
d=3.42
Hopefully this is enough work shown :)
Each of the remaining fundraisers will need $135.59
