What is the probability that the next person you meet was not born in February? No leap years.

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

a. 337/365 = approx. 92.3%

Step-by-step explanation:

Number of days in year: 365

Number of days in February: 28

Number of days in year that are not in February: 365 - 28 = 337

p(not Feb) = 337/365 = approx. 92.3%

m∠1 = 55°, m∠2= 125°, m∠3 = 125°, m∠4 = 55°,

m∠5 = 55°, m∠6 = 125°, m∠7 = 125°, m∠8 = 55°

Solution:

Given m∠1 = 55°.

∠1 and ∠4 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then vertically opposite angles are congruent.

m∠1 = m∠4

m∠4 = 55°

Sum of the adjacent angles in a straight line = 180°

m∠1 + m∠2 = 180°

55° + m∠2 = 180°

m∠2 = 125°

∠2 and ∠3 are vertically opposite angles.

m∠2 = m∠3

m∠3 = 125°

∠2 and ∠6 are corresponding angles.

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

m∠2 = m∠6

m∠6 = 125°

∠4 and ∠8 are corresponding angles.

m∠4 = m∠8

m∠8 = 55°

∠1 and ∠5 are corresponding angles.

m∠1 = m∠5

m∠5 = 55°

∠3 and ∠7 are corresponding angles.

m∠3 = m∠7

m∠7 = 125°

Hence the measure of angles are

m∠1 = 55°, m∠2= 125°, m∠3 = 125°, m∠4 = 55°,

m∠5 = 55°, m∠6 = 125°, m∠7 = 125°, m∠8 = 55°