Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Step-by-step explanation:
Part 1) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 2) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 3) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

substitute the values





Part 4) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

Part 5) we know that
If two triangles are similar
then
the ratio of their corresponding sides are equal
so
In this problem

So, we know that a^2 + b^2 = c^2. Right? That is called the Pythagorean Theorem.
In this case. We can say that 39 is a, 40 is b, and x is c.
NOTE: It doesn't really matter whether 39 is a or b. a & b are just the two legs of the right triangle.
So, if we say that 39 is a, 40 is b, and x is c. We can plug it into the Pythagorean Theorem.
39^2 + 40^2 = x^2
I'll let you take it from there.
I’m extremely sorry, I am stumped
Answer:
42
Step-by-step explanation:
The height of the pole is 4 times shorter than the length of the shadow 20÷5=4
The height of the building must be 4 times shorter than its shadow length 168÷4=42
Answer:
Gallons of water remaining = 16,962 gallons
Step-by-step explanation:
Total capacity of the pool = 17,897 gallons
Rate of leakage per day = 5 gallons
Number of days = 187 days
how many gallons of water will remain in the pool after 187 days?
Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days
= 17,897 - (5 × 187)
= 17,897 - 935
= 16,962 gallons
Gallons of water remaining = 16,962 gallons