<u>SAS Criterion:</u> If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
From the diagram you can see that:
<A ≅ <F ≅ <P
AB ≅ GF ≅ PQ
AC ≅ FE ≅ PR
This means that ΔABC, ΔFGE, and ΔPQR are congruent.
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Answer:
B. CH₅N
Explanation:
The combustion reaction of a compound CₐHₓNₙ with O₂ is:
CₐHₓNₙ + O₂ → a CO₂ + X/2 H₂O + n NO₂
Where 1 mole of CₐHₓNₙ with an excess of O₂ produce a moles of CO₂, X/2 moles of H₂O and n moles of NO₂
Thus, you need to convert the mass of CO₂ and H₂O to moles to find the C:H ratio and determine a possible empirical formula thus:
Moles CO₂ (Molar mass 44g/mol):
44g ₓ (1mol / 44g) = 1 mole CO₂ = 1 mole C
Mole of H₂O (Molar mass 18g/mol):
45g ₓ (1 mol / 18g) = 2.5 moles H₂O = 5 moles H
Thus, in the compound you have 5 moles of H per mole of C, and a possible empirical formula is:
B. CH₅N
The only structure that meet this C:H ratio
To solve this question, we will need the help of the picture attached:
1. According to this, every 101010 miles from the elementary school (Assuming the school is in point 0 of the line) the property taxes decrease 0.5%.
2. We also know that the greatest value in property taxes is 4.5%, and this decreases every 101010 miles.
So, if we draw a line divided in sections of 101010 miles and taking into account the data given, we have to sum each 101010 miles section until we get to the property tax value of the house, which is 3% in this problem.
Then, the distance from the school to the house, taking into account the 0.5% decrease with the distance is:
303030 miles
Answer:
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