Match the reasons with the statements in the proof.
given: c | | d, m 4 = m 5
prove: m 7 = m 8
1. c||d, m∠4=m∠5
substitution
2. m∠4 = m∠7
vertical angles are equal.
3. m∠5 = m∠8
if lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
given

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236

Mikes car gets an average of 28 mpg. there are 12 gallons of fuel in mikes car when he starts his trip of 140 miles. about how many gallons are left at the end of his trip?

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.