Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
Answer:
24 kilometers
Step-by-step explanation:
1.2 kilometers per minute; 12 kilometers
Step-by-step explanation:
We know that 60 minutes makes 1 hour.
Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:
72 / 60 = 1.2 kilometers per minute.
Distance is given as speed multiplied by time.
Therefore, in 10 mins, the car travels:
1.2 * 20 = 24 kilometers.
468
x 76
_____
2408
+ 321650
_________
35,168
Answer: A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.
The basic 30-60-90 triangle ratio is:
Side opposite the 30° angle: x
Side opposite the 60° angle: x*√3
Side opposite the 90° angle: 2x
Step-by-step explanation: Brainlyest please
