Asked by Anonymous
(1) Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8.
(2) Prove: If AB = CD, then AC = BD.
(2) Prove: If AB = CD, then AC = BD.
Answers
Answered by
Henry
1. AB + BC = AC.
5x + (2x-4) = 52.
7x = 52 + 4 = 56,
X = 8.
2. AB + BC = AC: Addition.
BC + CD = BD: Addition.
AB = CD: Given.
Therefore, AB + BC = BD: Substitution.
AC = BD: Quantitives that are = to the same quantitive are = to each other.
5x + (2x-4) = 52.
7x = 52 + 4 = 56,
X = 8.
2. AB + BC = AC: Addition.
BC + CD = BD: Addition.
AB = CD: Given.
Therefore, AB + BC = BD: Substitution.
AC = BD: Quantitives that are = to the same quantitive are = to each other.
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