Find the Value of x using the picture below.

[See Below]

Step-by-step explanation:

✦ First you're going to need to put it in a fraction form to solve this:

  ✧ ⁷⁄₁₄ = ˣ⁄₁₅

✦ Now multiply across:

  ✧ 7 * 15 = 105

  ✧ x * 14 = 14x

✦ Now divide:

  ✧ ¹⁴ˣ⁄₁₄ = x

  ✧ ¹⁰⁵⁄₁₄ = 7.5

✦ So x would be 7.5

~Hope this helps Mate. If you need anything feel free to message me.

(Here's an image to explain in further detail on the order the problem must go in or else it would be deemed wrong)

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

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step-by-step explanation: