PLS CAN SOMEONE HELP ME

w = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

8 = 4w + 53 + 5w

Step 2: Solve for w

Combine like terms:                    8 = 9w + 53Isolate w term:                             -45 = 9wIsolate w:                                      -5 = wRewrite:                                        w = -5

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Substitute in w:                    8 = 4(-5) + 53 + 5(-5)Multiply:                                8 = -20 + 53 - 25Add:                                      8 = 33 - 25Subtract:                               8 = 8

Here we see that 8 does indeed equal 8.

∴ w = -5 is the solution to the equation.

Answer: 10pi

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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