I dont understand this
2 answers:
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The basic idea is that multiplying by 10 just moves the decimal point one place to the right. It makes the number bigger.
4.8 x 10 = 48
4.8 x 10 x 10 = 48 x 10 = 480
Each time you multiply by another 10, the decimal point moves one more time.
The expression says you're going to multiply by 10 five times in a row. So that will move the decimal point 5 places to the right.
So what do you get if you move the decimal in 4.8 five places to the right?
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
<u>Subtract 4x from both sides:</u>
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
<u>Add 7 to both sides:</u>
3x - 7 + 7 = 14 + 7
3x = 21
<u>Divide both sides by 3 to completely isolate x:</u>
=
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
- breezyツ