<u>Given</u>:
The given figure shows the intersection of the two lines.
The angles formed by the intersection of the two lines are (3x - 8)° and (2x + 12)°
We need to determine the equation to solve for x and to find the value of x.
<u>Equation to solve for x:</u>
Since, the two angles (3x - 8)° and (2x + 12)° are vertically opposite angles and the vertical angles are always equal.
Hence, we have;
Thus, the equation to solve for x is
<u>Value of x:</u>
The value of x can be determined by solving the equation
Thus, we have;
Thus, the value of x is 20.
Answer:
13 or 14 pictures
Step-by-step explanation:
there are 27 students who has decided to be grouped in pair. pair means 2, so mathematically
27 = 2 *x 27 can't make a pair
where x is the one student is removed
number of 26 is left
pictures x = 26 \ 2
x = 27 \ 2 OR x = 13 pictures
x = 13.5
x = 14 pictures
hope it help
Answer:
The answer to your question is letter B.
Step-by-step explanation:
The correct answer is letter B because both Copper and Iron as reactants have an oxidation number of zero and when they have reacted their oxidation numbers would be different from those.
A redox reaction is a reaction that involves a transfer of electrons from one atom to another and the oxidation numbers of the reactants are different from the oxidation numbers from the products.
The general form for a line through two points (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
This is better than the slope forms because it works in the no slope case, as does the standard form.
If you haven't seen it before, it works because when (x,y)=(a,b) we get (c-a)(b-b)=(d-b)(a-a), both sides zero, and when (x,y)=(c,d) we get (c-a)(d-b)=(d-b)(c-a), clearly equal sides.
Here we have
(0 - -5)(y - 0) = (-9 - 0)(x - - 5)
5y = -9(x+5)
5y = -9x - 45
9x + 5y = -45
Ironically there are two standards for standard form; one with the constant alone on the right and one with the whole thing equal to zero. I like the constant alone.
Answer: 9x + 5y = -45
Check:
We check each point is on the line
(-5,0)
9(-5) + 5(0) = -45, good
(0, -9)
9(0) + 5(-9) = -45, good again
Answer:
x ≤ -5
Step-by-step explanation:
According to given condition:
3x + 17 ≤ 2(1 - x)
By simplifying:
3x + 17 ≤ 2 - 2x
Adding 2x - 17 on both sides we get:
3x + 2x ≤ 2 - 17
5x ≤ - 15
Dividing both sides by 5 we get:
x ≤ -5
i hope it will help you!
