a. 12 deg, b. 168 deg
We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,
x + y = 180
y = 2(90 - x ) + 12
Solving:
x + 2(90 - x) + 12 = 180
-x + 180 + 12 = 180
x = 12
12 + y = 180
y = 168
Answer:
You are transposing so
and
Step-by-step explanation:
Basically in transposing, you use reverse operations to get rid off attached or unnecessary terms till you get what you want on one side of the equal sign
You can check the web for more explanation
Answer:
Step-by-step explanation:
Let the number be x
Take away 1: x -1
Then multiply the result by 3: (x- 1) * 3 = (x-1)3 or 3x - 3
<h3>
Answer: 5/9</h3>
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Explanation:
means that the 5's go on forever because of that horizontal bar over top. So we can write it as
The three dots indicate it goes on forever following that pattern.
Let
x = 0.55555....
Multiply both sides by 10 to move the decimal point 1 spot to the right
10x = 5.55555....
Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.
After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.
Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.
Answer:
25-9m^2-m+4m^3
= 4m^3-9m^2-m+25(Standard form)
This is a cubic polynomial since the degree of the polynomial is 3
Hope this helps!