1. Solve for x in the following problem. You MUST show the equation you set up to solve and the associated work to get to the final answer.

x = 5

Step-by-step explanation:

if the lines are parallel, the triangles are similar and thus proportional

set up a proportion:

22/8 = (6x+3)/12

8(6x+3) = (22)(12)

48x + 24 = 264

48x = 240

x = 5

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm