Alright, lets get started.
At the beginning of her training, she is able to run 2 miles without stopping means 2 will be in the addition when we will write the equation for her running miles.
Her goal is to increase her distance by three quarters of a mile each week.
Means in first week, she will add the distance =
miles
Suppose she runs x weeks, so shee will add distance = 
So, suppose she runs total number of miles = d, then

Where d is total numer of miles she runs
x is number of weeks : Answer
Hope it will help :)
Answer:


Step-by-step explanation:
The question is 
<em>We let
, so the equation becomes:</em>

Where 
Putting it in the quadratic formula, we have:
<u>Quadratic formula:</u> 
Substituting we have: 
<em>We let
, so x is:</em>
<em>
</em>
<em>and</em>
<em>
</em>
The solutions of the equation is
(rounded to 2 decimal places), and
(rounded to 2 decimal places)
10*0.25=2.5
2.5/10*100=25 lbs
25-10=15 lbs
Nina need to add 15 lbs of water
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.