1) IF DE = 9, find BC
1 answer:
Answer:
1. BC = 18
2. m<ABC = 80°
3. x = 5
Step-by-step explanation:
1. If DE = 9, therefore:
(based on the midsegment theorem, DE is half the length of the third side, BC)
2. m<ADE = 80°, then,
m<ABC = 80°
This is because m<ADC and m<ABC are corresponding angles. Corresponding angles are congruent.
3. DE = 2x + 7 , and BC = 7x - 1, find BC
Thus:
(midsegment theorem)
(substitution)
Solve for x
Collect like terms
Divide both sides by 3
x = 5
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When an algebraic expression is split into a sum of two or more rational expressions, then each part is called a partial fraction.
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