Answer:
"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com
Answer:
Yes, it is a right angle triangle
Step-by-step explanation:
Let leg lengths be y and z
Y = 2mm
Z = 2.1mm
Let x represent hypothenus
X = 2.9mm
To find out if it's a right angle triangle, we'll use pythagorean theorem since it's true for all right angle triangles I.e the square of the hypothenus is equal to the square of both sides(opposite and adjacent)
x² = y² + z²
x² = 2² + 2.1²
x² = 4 + 4.41
x² = 8.41
Take the square root of both sides
x = √(8.41)
x = 2.9mm
Therefore since the square of two other sides equal the square of the hypothenus, the side of the clip is a right angle triangle
Answer:
A = amount left
so i think the answer could be:
A=9-3x
Answer:
5/21.
Step-by-step explanation:
Total number of balls = 7.
Prob(Blue on first pick) = 3/7
Prob(Blue on second pick) = 2/6 = 1/3
So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.
Prob(Red on first pick) = 2/7
Prob(Red on second pick) = 1/6
So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.
Now the Probability of getting 2 white balls is the same as for the red balls
= 1/21.
Finally, the probability of 2 balls of the same colour
= 1/7 + 1/21 + 1/21
= 3/21 + 1/21 + 1/21
= 5/21.
