Answer:
3 and 4
Step-by-step explanation:
First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

To find the distance <em>per year</em>, we'll need to find the <em>unit rate</em> of this ratio in terms of years. The word <em>unit</em> refers to the number 1 (coming from the Latin root <em>uni-</em> ); a <em>unit rate</em> involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

We have our answer: approximately
0.14 cm or
1.4 mm per year
Answer:
A.
and 
Step-by-step explanation:
Given:
Vertices of triangle RST are
and
.
Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.
Now, the co-ordinate rule for 90° rotation counter-clockwise is given as:
→ 
and
values interchange their places with
becoming negative when interchanged.
So,
→ 
→ 
→
⇒
→ 
Therefore, the image of the vertices are
and
.
Answer:
w ≤ 15
Step-by-step explanation:
A rectangle is shape with 4 sides where 2 pairs of sides are equal and form 4 perpendicular angles. 1 pair of sides is the width and is distance w. 1 pair of sides is the length and is 10 inches. The total distance around the shape is the perimeter. We know the perimeter is 50 inches or less. Add each side together and let it be less than or equal to 50. Then solve for w.
P ≥ l + l + w + w
50 ≥ 10 + 10 + w + w
50 ≥ 20 + 2w
30 ≥ 2w
15 ≥ w
The answer is 375
I got this answer as you take 807-57=750, you would then take 750 and divide it by 2 which gives you 375!