the first one is the correct answer
Given: a | | b, m 2 = m 3
Prove: m 1 = m 3
1. a || b, m∠2 = m∠3
Given
2. m∠1 = m∠2
If lines are ||, corresponding angles are equal.
3. m∠1 = m∠3
Substitution
<u>44%</u>
Sample space is 36C4
Now, we want to know all of the combinations that have 1 digit in it.
So, we can have one here:
1XXX
X1XX
XX1X
XXX1
But we have 10 different digits to choose from. So, we need to introduce the combination term, nCr, where n is a list of all digits and r is how many we want.
Since we only want one, we will need 10C1 for the number of digits. But we need to choose three lowercases, so it becomes 10C1 × 26C3
Since it's a probability question, we need to divide that by our sample space, 36C4, and our percentage becomes 44%
#13 is 3000 because since each T-shirt is $650 and they buy 4 you multiply and get $2600 and since she received 400 dollar change then you add that value to the total cost and get 3000 that means she paid 3000
#14 is a millennium
1 year is 365 days
1 decade is 10 years
1 century is 100 years
1 millennium is 1000 years
So it has to be 1 millennium since 1000 years is the most out of the others
