Determine which statement uses an invalid argument.

a.
if it is hot outside, then theresa will not wear a scarf and hat. theresa is not wearing a scarf and hat. therefore, it is hot outside.
b.
all practicing nurses must pass the state nursing exam. jane did not pass the state nursing exam. therefore, jane is not a practicing nurse.
c.
if it is monday, then the store opens at 10 a. m. it is monday. therefore, the store opens at 10 a. m.
d.
the public pool closes at 4 p. m. it is 7 p. m. therefore, the public pool is closed.

I believe the answer to be B. However, I might be wrong...

Step-by-step explanation:

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)