You need to define h(x) to find its inverse.
The general answer is to replace h(x)= with y=. Then you make x the subject of the equation so that you get x= some function of y. That function is the inverse of the original function.
Example: h(x)=2x+5. Write y=2x+5. Now solve for x: x=(y-5)/2 so h⁻¹(y)=(y-5)/2 and h⁻¹(x)=(x-5)/2 is the inverse of h(x).
Answer:
all of them are valid solutions
Step-by-step explanation:
So we plug in values of t below and get:
18 is < 107
54 is < 107
36 is < 107
27 is <107
Answer:
See explanation
Step-by-step explanation:
Statements Reasons
1.
Given
2.
As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD
3.
Given
4.
Reflexive property
5.
SAS postulate
6.
Corresponding parts of congruent triangles are congruent
7.
Inverse alternate interior angles theorem
Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.