Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
Answer:
4. 120 cm^2
5. 8x+30
Step-by-step explanation:
Option C is correct. the functions that would not be a possible function for f (x) and g(x) are f(x) =
and g(x) = x
Given the composite function

We are to look for two functions f(x) and g(x) that will not give the same function
Using trial and error,
If f(x) =
and g(x) = x
Determine the f(g(x)) for this function
f(g(x)) = f(x)
This is gotten by simply replacing x with x in f(x). This will return back the function f(x) making this the right choice.
f(g(x)) =
Since,
, hence the functions that would not be a possible function for f (x) and g(x) are f(x) =
and g(x) = x
Learn more here: brainly.com/question/3256461
Madison created two functions.For Function A, the value of y is two less than four times the value of x.
The table below represents Function B.
-3,-9
-1,5
1,-1
3,3
In comparing the rates of change, which statement about Function A and Function B is true?
A.
Function A and Function B have the same rate of change.
B.
Function A has a greater rate of change than Function B has.
C.
Function A and Function B both have negative rates of change.
D.
Function A has a negative rate of change and Function B has a positive rate of change.
C is correct
Answer: slope =
-1/2
Step-by-step explanation:
Since they are parallel, they will never intersect. The only way this is possible is if they have the same slope. All you had to do was get y by itself and find the number next to the x. Subtract the ten and the 2y and pass them to their opposite sides that way it will be x-10= -2y. After that, divide the -2 by everything on the x side. The final equation is -1/2x -10= y.