Answer:
irrational
are the numbers like 7.55782902..where the numbers aren't repeated
Answer:
Step-by-step explanation:
Answer:
1st Answer
Step-by-step explanation:
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
<em>x = 24 </em>
Step-by-step explanation:
The corresponding sides of similar Δs are proportional.
ΔADE ~ ΔABC ⇒ 
= 
= 
AD = x + 8 ; DE = 8
AB = x ; BC = 6
= 
⇔ 8x = 6(x + 8) ⇒ <em>x = 24</em>
