Solve for x and y if this is what’s given to you

x=7; y=21

Step-by-step explanation:

These angles are congruent so:

7y-3=2x+4

We need to find x, and AB and DC are congruent, so:

3x+3=6x-18

Add 18 to both sides:

3x+21=6x

Subtract 3x from both sides:

3x=21

Divide by 3:

x=7

Substitute:

7y-3=2(7)+4

Simplify Like-Terms:

7y-3=18

Add 3 to both sides:

7y=21

Divide both sides by 7:

y=21

x=12 units bd= 10 units

step-by-step explanation:

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.