If u were to draw this out, u would have the shape of a right triangle....with the legs being 3 miles and 4 miles......and a straight line would be the hypotenuse. So we use the pythagorean theorem.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
sqrt 25 = c
5 = c
so Jimmy is 5 miles from home
Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3)
as it is given in the question.
4)
is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:

In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore,
(By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is 
Let the number of goats be 'x'.
Therefore, the number of chicken will be 50-x
Total number of legs the goats will have= 4x (goats have 4 legs)
Total number of legs chickens will have= 2(50-x) (chickens have two legs).
4x + 2(50-x)=140
4x+100-2x=140
2x+100=140
2x=40
x=20.
There are 20 goats and 30 chickens.
D. When you do the math, the results to everything should be t=9. D is the only outlier. Therefore, D is the answer in this case.