Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation:
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
1615/170
We first need to convert this into a proper fraction. Which means that the denominator must be larger than the numerator for it to be proper. Also, since 1615 is BIGGER than 170, we will end up with a mixed fraction. A mixed fraction always has a whole number.
1615 can go into 170 how many times?
9 times
170*9 = 1530
Now subtract.
1615 - 1530 = 85
Now we have our mixed fraction: 9 85/170
Now we must simplify the fraction.
85/5 = 17
170/5 = 34
17/34 is the smallest possible fraction we can get.
9 17/34
Final answer:
Answer:
You subtract 9 from both sides
Step-by-step explanation:
You have to get the variable by itself to solve so you subract 9 by 9 and they cancel each other out. Then you do -12-9 and since they are both negative you get get -21
Them you have your answer m=-21, you can check this by plugging m inot the equation