Run is the horizontal change between points. Run in slope means the change in "x" .
Answer:
y = 
Step-by-step explanation:
Let the total numbers are n.
If the average of y numbers is x then we can form an equation
⇒ 
⇒ n = 
--------(1)
Now 30 is added to the set of numbers then average becomes (x - 5)
⇒ 
⇒ (n + 1) = 
⇒ n = - 1 ----- (2)
Now we equate the values of n from equation 1 and 2
= - 1
y(x - 5) = x(y + 30) - x(x - 5) [ By cross multiplication ]
xy - 5y = xy + 30x - x² + 5x
xy - xy - 5y = 35x - x²
-5y = 35x - x²
x² - 35x = 5y
y =
Answer:
The answer to your question is 12 ft
Step-by-step explanation:
Data
Height of the flag pole = 24
shadow of the flag pole = x
height of the man = 5 ft
shadow of the man = 2.5 ft
Process
1.- Use the Thales' theorem to solve this problem
shadow of the flag pole/height of the flag pole = shadow of the man/height
of the man
- Substitution
x/24 = 2.5/5
- Solve for x
x = 2.5(24)/5
- Simplification
x = 60/5
-Result
x = 12 ft
<span>We already know that angles ECS and TRS are congruent, because they are both right angles (given). We also know that angles CSE and RST are congruent because they are vertical angles and vertical angles are always congruent. That gives us two sets of congruent angles. We just need to know something about one pair of sides to prove the two triangles congruent to each other. I do question the order of the letters in the names of the triangles--if that's really the order the letters are written in the problem, then we would need to know that ES is congruent to RT or that CS is congruent to ST. If the order of the letters of the names of the triangles is a little different we would need to know that CS is congruent to RS or that any of the other sides that appear to match are actually congruent. </span>
Answer: A
Step-by-step explanation: I think its A because < means less than. So y is less than z. I hope that helps.
