Answer/Step-by-step explanation:
✔️-72 ÷ (-2)
The division of two negative numbers will give us a positive number. i.e. - ÷ - = +
Therefore:
-72 ÷ (-2) = 36
✔️-72 ÷ 2
The division of a negative number and a positive number will give us a negative number. i.e. - ÷ + = -
Therefore:
-72 ÷ 2 = -36
✔️72 ÷ (-2)
The division of a positive number and a negative number will give us a negative number. i.e. + ÷ - = -
Therefore:
72 ÷ (-2) = -36
Using the sum of interior angles equation;
(n-2)180=sum
(n-2)180=2340
n-2=2340/180
n-2=13.5
n=13.5+2
n=15.5
However, the problem is that a polygon cannot have "half" as side. Therefore, there might be a problem in the question or there is no solution to such a question.
Hope I helped :)
For b), the answer is 3^2 / 2^7
you just have to multiply the exponent of 2 with 2 and add it with 3
for c), the answer is -(3)^3
notice that the negative sign is outside the parenthesis
for d), the answer is 1
you just multiply -n with 3 and all the exponents since they all have the same base
for e), the answer is 2a^2 b
just distribute the exponent 2 to all the bases and cancel out the things that can be cancelled or just subtract exponents of the same bases if the operation is division
for f), the answer is b^4 / 2b^4
focus first on the things inside the parenthesis, then take not of the -1 exponent after
First of all, you need to recognize that ∠GHE and ∠AHD are "vertical" angles, so they are equal.
Then, you need to recognize that ∠AHD and ∠AHK are complementary angles.
Then you have
.. ∠AHD +∠AHK = 90
.. ∠GHE +∠AHK = 90
.. (60 -x) +(2x -6) = 90
Now, you have a linear equation in x that is easily solved.
.. x +54 = 90 . . . . . collect terms
.. x = 36 . . . . . . . . . subtract 54 . . . . . . . . . matches selection B*
___
* except that the answer is actually 36, not 36°. The variable x is used in an expression to which the units "degrees" are attached. x is a pure number; x° is 36°.
Answer:
You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.