In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =

∠p= 15°  ,  ∠q = 108°   , ∠r = 57°  Is the Answer

Step-by-step explanation:

, (x -12)° + (5x-27)° + (2x + 3)° = 180°

or,  8x° -36° = 180°

Or x =

So, x = 27°

∴ ∠P = 27° -12°  = 15°

 ∠q = (5 × 27)° -27° = 108°

 ∠r = (2 × 27)° + 3° = 57°

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1