Over the last three evenings, Rita received a total of 91 phone calls at the call center. The third evening, she received 2 times as many calls as the first evening.
The second evening, she received 5 fewer calls than the first evening. How many phone calls did she receive each evening?

Rita received 24 phone calls on the first evening, and 19 phone calls on the second evening and 48 phone calls on the third evening at the call center.

Step-by-step explanation:

As per given details,

Rita received a total of 91 phone calls at the call center over the last three evenings.

Let us assume the number of phone calls Rita received in the first evening is X.

The second evening Rita received 5 fewer calls than the first evening

=>X-5

The third evening Rita received 2 times as any calls as the first evening

=>2X

Now as given sum of total number of calls received in the three evenings is

X + X-5 + 2X = 91

4X - 5 = 91

4X = 96

X =24.

Therefore total calls received on first evening is X = 24

On the second evening X-5 = 24-5 = 19

On the third evening 2X = 48.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft