The answer is Option A.
Scale Factors
If the Scale Factor IS 1, the polygon stays the SAME.
(If an equilateral triangle has a side length of 8 and the scale factor is 1, the sides will stay at 8)
If the Scale Factor is MORE THAN 1, the polygon's sides INCREASE depending on what the scale factor is.
(If a square has a side length of 3 and the scale factor is 4, the sides will increase to 12)
If the Scale Factor is LESS THAN 1, the polygon's sides DECREASE depending on what the scale factor is.
(If a square has a side length of 5 and the scale factor is 1/2, the side lengths will decrease down to 0.5)
Therefore each side length of the new triangle is 4 times shorter than the original (Option A)
<span>c)1 + 2cot^2x + 2cscx cotx
because cosc^2x=1+cot^2x</span>
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.

Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3~Hope I helped!~
1.
The rate at which Leonard bought was 2 packs per x dollars,
that is his buying rate was (2 packs)/(x dollars)=2/x (p/$)
2.
with 1 $ Leonard buys 2/x packs
then
with 5 $ Leonard buys (2/x)*5 = 10/x packs.
Answer: 10/x packs
1. 25 minutes
2. 41 minutes
3. 21 wheels
4. 7
5. 160
6. 415 miles