Answer:
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Answer:
be confident to answer any questions
66
32
29
43
Answer:
The correct answer is x = 32.
Step-by-step explanation:
To solve this problem, we must remember the concept of supplementary angles. Two angles that are supplementary together make an angle of 180 degrees (a straight line).
In this case, we can see that inside the triangle, we will have an angle of 80 degrees. We know this because the angle at the top of the triangle is supplementary with the angle measuring 100 degrees, so its measure should be 180-100 = 80 degrees.
On the lower right hand of the triangle, a similar rationale can be applied. The angle inside of the triangle must measure 68 degrees, since it is supplementary to an angle measuring 112 degrees, and 180-112=68.
Finally, to solve this problem, we must remember that the sum of the three interior angles of a triangle should be 180 degrees. This lets us set up the following equation:
80+68+x = 180
Now, we can solve this equation. Our first step is to simplify the left side of the equation by adding together the constant terms.
148 + x = 180
Next, we should subtract 148 from both sides of the equation.
x = 180-148
x = 32
Therefore, the correct answer is x = 32 degrees.
Hope this helps!
Answer:
Step-by-step explanation:
Given the equation
Find the derivative:
Substitute
then
x(x2 + 5) – 6(x2 + 5)
x2(x – 5) + 6(x – 5)
x2(x + 5) – 6(x + 5)
The answer choice which shows how to determine the factors of the expression by grouping is; Choice D; x²(x + 5) – 6(x + 5)
The given expression is; x³ + 5x² – 6x – 30.
The expression is tetranomial, hence, by grouping into 2 terms each; we have;
Ultimately, upon factorisation of each subunit of the expression, we have;
Read more on factorisation by grouping;
Answer:
D
Step-by-step explanation:
group them first :
( x3+5x2) and ( -6x-30)
then simply by gcf ( greatest common factor) :
x2(x+5) and -6(x+5)
and just add them together:
x2(x+5)-6(x+5)
bonus :
it can be written as (x2-6)(x+5)
Answer:
3 for problem
Step-by-step explanation:
milk costs $2.20 more than a bottle of water, how much does each item cost?
Answer:
bottle of water: $1.60
gallon of milk: $3.80
bag of chips: $0.80
Step-by-step explanation:
First, the amount of groceries bought can be represented as:
where represents the cost of one gallon of milk, represents the cost of a bottle of water, represents the cost of one bag of chips.
We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.
"a bottle of water costs twice as much as a bag of chips"
→
"milk costs $2.20 more than a bottle of water"
Now, substitute these into the first equation and solve for w in terms of c.
So, one bottle of water costs $1.60.
To solve for the other items, plug the solved value into the 2-variable equations.
So, one gallon of milk costs $3.80.
So, one bag of chips costs $0.80.
Answer:
Slide to the left then rotate 90° to the right then slide down then rotate 180° to the left/ right.