Answer:
35 cm
Step-by-step explanation:
2m = 200cm
200cm-165cm=35cm
Answer:
The measure of each angle remains the same after each transformation. The reason is because when you undergo a reflection, a rotation, or a translation, the triangle remains the same size and shape (congruent), therefore there is no change to the angles. The only thing changing is the position of the shape.
Step-by-step explanation:
Let the initial money be x so by question,
3x/5 +1x/5+1200=x
or, 1200= x - 4x/5
or, 1200 = 1x/5
or, 6000= x
hence the initial money was 6000$
Answer:
Step-by-step explanation:
I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:
and begin by dividing both sides by 100 to get
. To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.
ln(.28) = -.0001t Now it's easy to solve for t.
and
so
t = 12729.65676 years or rounded, 12730 years.
Angle 1 = 2x - 30
angle 2 = x
2x - 30 = x
2x - x = x
x - 30 = 0
0 + 30 = 30
x = 30
