Given: the coordinates of isosceles trapezoid jklm are j(-b, c), k(b, c), l(a, 0), and m(-a, 0). prove: the diagonals of an isosceles trapezoid are congruent. as part of the proof, find the length of km

The diagonals of an isosceles trapezoid are congruent and the length of KM is   .

Step-by-step explanation:

Formula

As given

The coordinates of isosceles trapezoid JKLM are J(-b, c), K(b, c), L(a, 0), and M(-a, 0).

The diagram is shown below.

Now find out the length of the diagonal.

As the diagonal is JL .

The coordinates of the JL are J (-b,c) and L (a,o)

Putting the value in the above

(As by using the formula(a + b)² = a² + b² +2ab )

Put this in the above

Now find the length of diagonal KM .

As coordinates of K (b,c) and M (-a,0).

(As by using the formula(a + b)² = a² + b² +2ab )

As the length of the diagonal JL and KM are equal .

Thus the diagonals of an isosceles trapezoid are congruent and the length of KM is   .

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500