An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
the monthly charge for different kilowatt-hours used.
What is the initial monthly fee charged by the electric company?
What is the initial monthly fee charged by the electric company?
1 answer:
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we are given three angles
first angle =x-4
second angle =3x
third angle =100
we can see that this is a triangle
and we know that
sum of all angles in any triangle is always 180
so,
first angle + second angle + third angle =180
now, we can plug values
and we get
now, we can solve for x
................Answer
Option D: is the inverse of the function f(x) = 4x
Explanation:
Given that the function is
We need to determine the inverse of the function.
<u>Inverse of the function h(x):</u>
The inverse of the function can be determined by interchanging the variables x and y and then solving the function for y.
Thus, the function is written as,
Interchanging the variables x and y, we have;
Dividing both sides by 4, we get;
Thus, the inverse of the function is
Hence, Option D is the correct answer.
Answer:
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
.
Substitute,
Simplify,
Cross products,
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
Inverse operations,