Look at the parallelogram ABCD shown below. The table below shows the steps to prove that if the quadrilateral ABCD is a paralle
logram, then its opposite sides are congruent. Statement Reasons 1 . AB is parallel to DC and AD is parallel to BC - definition of parallelogram 2 . angle 1 = angle 2, angle 3 = angle 4 - if two parallel lines are cut by a transversal then the corresponding angles are congruent 3 . BD = BD - Reflexive Property 4 . triangles ADB and CBD are congruent - if two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent by SAS postulate 5 . AB = DC, AD = BC - corresponding parts of congruent triangles are congruent Which statement is true about the table? 1. It is not correct because it provides incorrect sequence of statement 2 and statement 4. 2. It is not correct because it does not provide correct reasons for statement 2 and statement 4. 3. It is accurate because it provides the correct sequence of statements. 4. It is accurate because it provides the correct reasons for the statements.
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<u>Given</u>:
The cost for the children’s party at the rollerskating rink is a function of n, the number of people in the party. The cost function, C is given by
We need to determine the cost to have a party with 9 people and the cost to have a party with 20 people.
<u>Cost of having the party:</u>
From the given function, the cost of having the party for 9 people lies in the interval
Hence, the cost of having the party for 9 people is 150.
Also, from the function, the cost of having the party for 20 people lies in the interval
Hence, the cost of having the party for 20 people is 260.