<h3>
Answer:</h3>
A. 28
<h3>
Step-by-step explanation:</h3>
We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°
Answer:
Takeru bought 72 eggs and baked 18 soufflés .
Step-by-step explanation:
Let
e = number of eggs Takeru bought.
s = number of soufflés Takeru bought.
Then we know that Takeru bought 4 times as many eggs as he baked soufflés, therefore:

And since for every soufflés Takeru bakes he uses 3 eggs, and after backing he has 18 eggs left, we have:
<em>This says that from
eggs there are 18 eggs left after Tkeru used three eggs for each soufflé.</em>
Now we have two equations:


We put the value of e from equation (1) into equation (2) and solve for s and get:


Thus
Number of eggs Takeru bought = 72.
Number of soufflés Takeru bought = 18.
Answer:
The answer you're looking for is B. 27.55 m
Answer:
The number of combinations will she have to analyze is 10.
Step-by-step explanation:
We know that Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. We calculate the number of combinations will she have to analyze.

The number of combinations will she have to analyze is 10.
Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by

We know that the sum of 'n' consecutive natural numbers starting from 1 is

Thus from equation 'i' we can write

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.