Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
⇔
and
= 1
Substitute the values of x into 
x = 0 →
= 1 ⇒ a = 1
x = 2 →
=
=
, hence
b = 
x = 4 →
=
=
, hence
c = 
Similar triangles may or may not have equal measures
Allie's error is that Allie did not state the similarity theorem
<h3>How to determine
Allie's error </h3>
The statement JKL ~ XYZ means that:
Triangles JKL and XYZ are similar triangles
From the complete question, we have the following highlights:
- Angles J and X have equal measures of 55 degrees
- The side lengths of triangle XYZ are 3 multiplied by the corresponding side lengths of triangle JKL
The above means that, both triangles are similar by SAS or SSS
In Allie's statement, the similarity theorem is not stated
Hence, Allie's error is that Allie did not state the similarity theorem
Read more about similar triangles at:
brainly.com/question/14285697
You could say:
the product of seven and a number (w)
Answer:
60 ft
Step-by-step explanation:
Answer:
9 bottles of water
Step-by-step explanation:
Marginal benefit is a microeconomic concept that explains how much the consumer adds satisfaction to each unit consumed of a given product. Usually, the marginal benefit is decreasing, which makes logical sense, the more a customer consumes a particular good, the smaller the benefit of the next unit.
At first, the first bottle of water has a high benefit as mentioned in the exercise: 9
In the second, you are a little less thirsty, so the benefit will be 10 - 1x2 = $8
In the ninth bottle, you will have very little thirst and the benefit will be 10 - 1x9 = $1
In the tenth bottle there is no benefit, the consumer is indifferent. As a rational consumer, you will buy until the bottle is still usable, even if minimal, for 9 bottles when your benefit is $1.