Find the measure of angle RPF

124°

Step-by-step explanation: Notice that angles CPF and RPB are vertical <'s.

Vertical angles are two angles that share a common

endpoint and whose sides form opposite rays.

Since these angles have the same measure,

we can setup the equation 4t + 88 = 2t + 72.

Now subtract 2t from both sides and we have 2t + 88 = 72.

Now subtract 88 from both sides to get 2t = -16.

Solving from here, we find that t = -8.

Now notice that <FPB is a straight angle which

means that it measures exactly 180 degrees.

So let's substitute a 4 into the measure of angle CPF.

So we have 4(-8) + 88 or -32 + 88 which is 56°.

Since FPC and CPB are a linear pair, we know that are supplementary.

If two angles are supplementary, then the sum of their measures is 180 degrees which means we take 180 minus the measure of <CPF.

So we have 180 - 56 which is 124°.

Now since <CPB and <FPR are vertical angles

So<FPR must also measure 124°

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540