A Coca-Cola bottle is roughly a cylinder, so you would do the formula below.
Let's the name the first number x and the consecutive number x + 1. The sum of both of these numbers equals to 53.
We now have our equation:
x + x + 1 = 53
Now solve for x.
x + x + 1 = 53
2x + 1 = 53 <-- Combine like terms
2x = 52 <-- Subtract 1 from each side
x = 26
So, the first number is 26 and the second number is 27.
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.
So much stuff at once...
I'm only going to give you the information needed to do this.
All of these involve the 4 main exponent laws.
1) Multiplying.
When you multiply two 'numbers' that share the same base, you add exponents and keep the base the same. (ex. 4g²(4g⁴) = 4g²⁺⁴ = 4g⁶)
2) Dividing.
When you divide two 'numbers' that share the same base, you subtract exponents and keep the base the same. (ex. 3a⁷ / 3a⁴ = 3a⁷⁻³ = 3a³)
3) To the power of 1.
Anything to the power of 1 is the same. (ex. 5a¹ = 5a)
4) To the power of 0.
Anything to the power of 0 = 1. (ex. 2d⁰ = 2(1) = 2)
This should help.
46.
3x + y = 2x +y
X+y=y
X= 0
3x + y + 2x +y = 4x+10
2y+x= 10
Y=5
