Which statement completes the proof that line kl is parallel to line mn?
statement |justification
∠msq ≅ ∠krq |given
∠msq + ∠psm = 180° |definition of supplementary angles
∠krq + ∠psm = 180° |substitution
∠krq + ∠lrq = 180° |definition of supplementary angles
∠krq + ∠psm = ∠krq + ∠lrq |transitive property of equality
∠psm ≅ ∠lrq |subtraction property of equality
line kl is parallel to line mn |?

here is a big fat

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.