Pythagorean TheoremIn a right triangle, the sum of the squares of the legs equals the square of the hypotenuse."Special Triangles"<span>3-4-5
5-12-13
7-24-25
8-15-17</span>Converse of the Pythagorean ConjectureIf the lengths of a triangle satisfy the Pythagorean Theorem, then the triangle is a right triangle.Isosceles Right Triangle ConjectureIn an isosceles right triangle, if the legs have length x, then the hypotenuse has length x-root-2.30-60-90 Triangle ConjectureIn a 30-60-90 triangle, if the shorter leg has length x, then the longer leg has length x-root-3 and the hypotenuse has length 2x.Rationalizing the DenominatorEquation for a Circlea squared + b squared is less than c squaredObtuse trianglea squared + b squared is greater than c squaredAcute triangle
Answer:
(C) 1/13
Step-by-step explanation:
Since, In a pack of 52 playing cards, there are 4 jacks in total.
If patricia selects a card at random, then the probability that it will be a jack will be:
Probability it is a jack=
=
=
Which is the required probability.
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (3, 4 ) and (x₂, y₂ ) = (8, - 3 )
m = 
= 
= -
Answer:
18
Step-by-step explanation:
3/4
24 ÷ 4 = 6
Multiply the top and bottom by 6
3/4 * 6/6 = 18/24
Answer:
c =3.9375 hours
Step-by-step explanation:
The formula to determine time to finish the job together is
1/a + 1/b = 1/c
Where a and b are the times to complete the job separately and c is the time to complete the job when working together
1/7 + 1/9 = 1/c
Multiply by 63c to get rid of the fractions
63c*(1/7 + 1/9) = 1/c *63c
9c + 7c = 63
Combine like terms
16c = 63
Divide each side by 16
16c/16 = 63/16
c =3.9375 hours
