Answer:
10
Step-by-step explanation:
32-b=3b-8
32+8=3b+b
40=4b
b=10
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The amount charge per year is
The number of members it will have at this amount is
The amount amount increase that will lead to the loss of a single member is
Generally the total amount the club would obtain from its members is mathematically represented as
Now let x denote the number of member lost
Hence
=>
=>
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero
=>
So from we have
So the amount the club should charge is
9514 1404 393
Answer:
a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)
b) no; different angles
Step-by-step explanation:
a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.
The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.
Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.
The scale factor relating the second triangle to the first is ...
NC/RL = 45/30 = 3/2
__
b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.