<span>The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet. </span>
Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
- 2c³ - 22c² + 48c
- 2c(c² - 11c + 24)
Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
- 2c(c² - 8c - 3c + 24) (factor each pair)
- 2c( c(c - 8) - 3(c - 8))
- 2c(c - 3)(c - 8)
Answer:
n and (n - 1) are consecutive integers.
Step-by-step explanation:
We are given 'n', a positive integer.
This 'n' can either be odd or even.
Case I:
When 'n' is odd
The n - 1 is even.
Note that the product of odd and even is always even. That is the product of n and (n - 1) is even.
Case II:
when 'n' is even
Then n - 1 is odd.
Again, using the similar logic we can say that the product of n and n - 1 should be even because here, 'n - 1' is even and 'n' is odd.
Answer:
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
Given: MN is angle bisector,
then
....... [1]
Congruent angles are two or more angles that have the same measure.
then;
by definition of congruent angles
[1]⇒ 
......[2]
By the Angle addition postulates states that if M is in the interior of ∠JMK then,
......[3]
Now, by substitution property ; substitute the equation [2] in [3] we get;
......[4]
Like terms terms whose variables are the same
Combine like terms in equation [4] we get
......[5]
Division property of equality states that you divide the same number to both sides of an equation.
Divide by 2 to both sides in equation [5] , we get
