-1/4x – 2/3x = -6 + 28

x= -24

Step-by-step explanation:

-1/4x-2/3x= -6+28

add -6 to 28 but since 6 is a negative its subtraction

-1/4x-2/3x=22

multiply all by 12

-3x-8x=264

add -3x to -8x

-11x=264

divide both sides by -11

x= -24

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.