Answer:
Step-by-step explanation:
Comment
The angle supplementary to x and 3x are equal.
Supplementary angles = 180
Solution
x + 3x = 180
4x = 180 Divide by 4
4x/4 = 180/4
x = 45
The angle supplementary to x is 3x
3x = 3*45
3x = 135
This angle is vertically opposite y. Vertically opposite angles are equal. So y = 135
Answer
x = 45
y = 135

It's clear that for x not equal to 4 this function is continuous. So the only question is what happens at 4.
<span>A function, f, is continuous at x = 4 if
</span><span>

</span><span>In notation we write respectively
</span>

Now the second of these is easy, because for x > 4, f(x) = cx + 20. Hence limit as x --> 4+ (i.e., from above, from the right) of f(x) is just <span>4c + 20.
</span>
On the other hand, for x < 4, f(x) = x^2 - c^2. Hence

Thus these two limits, the one from above and below are equal if and only if
4c + 20 = 16 - c²<span>
Or in other words, the limit as x --> 4 of f(x) exists if and only if
4c + 20 = 16 - c</span>²

That is to say, if c = -2, f(x) is continuous at x = 4.
Because f is continuous for all over values of x, it now follows that f is continuous for all real nubmers 
Hey there
Lets solve this question together,
Convert 76.8% to a decimal.
0.768 * x=40.32
Multiply 0.768 by x to get 0.768x.
0.768x=40.32
Multiply each term by 1 / 0.768 and simplify.
Cancel the common factor of 0.768.
x=40.32 / 0.768
Divide 40.32 by 0.768 to get 52.5
x=52.5
Answer:
u = 1
Step-by-step explanation:
First, we can use inverse operations to help.
27 + 9u = 36
Next, we can start replacing u with numbers to find which number fits in u.
27 + 9(1) = 36
27 + 9(2) ≠ 36
27 + 9(3) ≠ 36
Now, we know that u = 1
Answer:
<u>The third option</u> 56
Step-by-step explanation:
56 is the middle number but I'm sorry if I'm wrong