Answer:
There is a 25% decrease in Louisiana's land area between 1932 and 2016.
Step-by-step explanation:
We are given the following in the question:
Change in land area = 4,833 square kilometers
Estimated land area of Louisiana = 19,332 square kilometers
Percentage decrease =

Putting the values, we get,

Thus, there is a 25% decrease in Louisiana's land area between 1932 and 2016.
Answer:
(Choice C) C Replace one equation with a multiple of itself
Step-by-step explanation:
Since system A has the equations
-3x + 12y = 15 and 7x - 10y = -2 and,
system B has the equations
-x + 4y = 5 and 7x - 10 y = -2.
To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).
So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)
So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.
So, choice C is the answer.
We replace one equation with a multiple of itself.
Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3
Answer:
The inequality
is true.
Step-by-step explanation:
Given

FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9

FALSE
Reason: 1 is smaller than 6/5 or (1.1)

converting mixed number to improper fraction

FALSE
Reason: 5/2 can not be less than 5/2


TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality
is true.
1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2