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:
a) 16.66%
b) 5%
Step-by-step explanation:
a)
Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.
In this case the probability that you traveled to school that day by car would be
50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%
b)
In this case, the teacher would assume
90% ride on bicycle
0% take the bus
10% travel by car
So, in this case the probability would be
50% of 10% = (0.5)(0.1) = 0.05 = 5%
Answer:
option 2
Step-by-step explanation:
By repeatedly subtracting 360° from the given angle.
1155° - 360° = 795°
795° - 360° = 435°
435° - 360° = 75° ← coterminal angle
Answer:
The answer is √10,−√10 (award brainliest)
Step-by-step explanation:
Take the root of both sides and solve.
Exact Form: x = √10,−√10
Decimal Form: x = 3.16227766...,−3.16227766...
for more detailed explanation comment down below this post and ask
The answer is -5. Hope it helps.
