Write the letter of the property that justifies each statement in the blank. _15. If 4m + n= 7 and n = 3, then 4m + 3 = 7
A. Substitution Property _16. If a = -5, then 2a = -10
B. Addition property _17. If 3x = y, then y = 3x
c. Division Property _18. If 4w – 1 = 11, then 4w = 12
D. Reflexive Property
E. Multiplication Property _19. If a + b = c and c= d?, then a + b = d?
F. Transitive Property _20. 6y = 6y
G. Subtraction Property _21. If -8q = -56, then q = 7
H. Distribution Property _22. If 5k = -25, then 5k-1 = -25 - 1
1. Symmetric Property _23. -3(2x - 5) = -6x + 15

It is given that the quadratic equation hx²-3x+k=0, where h and k are constants, has roots [tex] \beta \: and \: 2 \beta [/tex]express h in terms of k

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Design an er diagram for keeping track of information about votes taken in the u. s. house of representatives during the current two-year congressional session. the database needs to keep track of each u. s. state's name (e. g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i. e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: