Choose the system of equations that matches the following graph:
the graph is a coordinate plane with line y equals negative 5 halves x minus 7 and line y equals 7x minus 7. they intersect at 0, negative 7
answer options:
a. 5x + 2y = −14
7x + y = 7
b. 5x + 2y = −14
7x − y = 7
c. 5x − 2y = −14
7x + y = 7
d. 5x − 2y = −14
7x − y = 7

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

i believe that the slope of the line is -5

step-by-step explanation: