Cailyn knows that if two angles are vertical, they are congruent. she also knows that if two angles are congruent, then they have the same measure. she is given vertical angles 1 and 2, and she concludes that m∠1 = m∠2. what law of reasoning does she use?

 Law of syllogism

Step-by-step explanation:

Since she is given that ∠1 and ∠2 are vertical angles.

⇒∠1=∠2 [ Since she knows that if two angles are vertical, they are congruent. ]

⇒ m∠1 = m∠2[Since she knows that if two angles are congruent, then they have the same measure.]

Therefore by law of syllogism, if ∠1 and ∠2 are vertical angles then m∠1 = m∠2.

The law of syllogism is a valid argument form of deductive reasoning .It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c.

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step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.