Together, a table and 4 chairs weigh 150.25 pounds. The table alone weighs 72.85 pounds. How many pounds does each chair weigh?
2 answers:
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When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.
If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.
Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so .
Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so .
Subtract from the first equation the second equation:.
Similarly you can prove that .
Question 1:
For this case we have the following equation:
We observe that the equation is a polynomial of the second degree.
Therefore, the equation has two possible solutions.
The variable of the equation for this case is x.
In this case, we have an open equation because we have a variable.
Rewriting the equation we have:
Answer:
open, there is a variable.
Question 2:
For this case we have the following equation:
From here, we must clear the value of x.
For this, we follow the following steps:
1) Pass the value of 8x adding:
2) Pass the value of 6 adding:
3) Add the values on the same side of equality:
4) Pass the 8 to divide:
Answer:
The value of x is given by:
Question 3:
For this case we have the following equation:
The ordered pair solution is the one that satisfies both sides of the equation.
For the point (6, 2) we have:
Substituting values we have:
We observe that both sides of the equation are equal.
Therefore, the ordered pair solution is (6, 2)
Answer:
An ordered pair that is a solution of the equation y = x-4 is:
(6, 2)
Answer:
C
Step-by-step explanation:
Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.
First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.
Let's use variables g, representing George's age and m representing Maria's age
m = 2g + 3
Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.
subtract the 3 from both sides, like so:
m - 3 = 2g
then divide 2 from both sides: (remember we're dividing the whole thing)
(m-3)/2 = g
Now we have an expression for George's age in terms of Maria's.
g = (m-3)/2 or
The answer that gives us this, is C.