m∥nm∠2=60° given
∠8≅∠2
m∠8=m∠2 angle congruence postulate
m∠8=60° substitution property of equality
m∠7+m∠8=180° linear pair postulate
m∠7+60°=180° substitution property of equality
m∠7=120°

subtraction property of equality
alternate interior angles theorem
division property of equality
alternate exterior angles theroem

brainliest to whoever asks

40% off the regular price is the correct answer.

step-by-step explanation:

11

step-by-step explanation:

32.50-7.50=25

225/25=11

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

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