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1 answer:
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Answer:
See explanation
Step-by-step explanation:
We want to show that:
One way is to use the basic double angle formula:
We simplify further to get:
We simplify again to get;
This finally gives:
Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
Answer:
Step-by-step explanation:
Write down the problem;
Simplify
Convert so that the fractions have a common denominator; multiply the numerator and denominator of both fractions such that the denominators are equal;
Add the fractions;
Convert to mixed number;