Which lines must be parallel?
1 answer:
The lines that must be parallel are lines r and s. The correct option is A) r and s
<h3>Parallel lines </h3>From the question, we are to determine the lines that must be parallel to satisfy the given condition
The given condition is
∠5 ≅∠13
In the given diagram,
∠5 and ∠13 are corresponding angles
Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
In the diagram,
The transversal is line p which intersects lines r and s.
Therefore,
Lines r and s must be parallel lines
Hence, the lines that must be parallel are lines r and s. The correct option is A) r and s
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Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Step-by-step explanation:
Let,
Weight of large box = x
Weight of small box = y
According to given statement;
5x+2y=102 Eqn 1
3x+8y=153 Eqn 2
Multiyplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 17
Putting x=15 in Eqn 2
Dividing both sides by 8
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Keywords: linear equation, elimination method
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