The triangles are similar. what is the value of x? enter your answer in the box. x =

12

Step-by-step explanation:

When you take a closer look at the triangles, you will find out that the adjacent of the larger triangle is equal to 4 multiply by the adjacent of the smaller triangle. Also, the opposite of the larger triangle is equal to 4 multiply by the opposite of the smaller triangle. So the same rule follow, the hypotenuse of the larger triangle is 4 multiply by the hypotenuse of the smaller triangle ;

6x + 28 = 25 × 4

6x + 28 =100

subtract 28 from bothside

6x + 28 -28 = 100 - 28

6x = 72

Divide bothside by 6

6x/ 6 = 72/6

x = 12

Ther value of x is 12

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.

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation: