One month, a homeowner used 150 units of gas and 520 units of electric for a total cost of $84.20. the next month, 210 units of gas and 405 units of electric were used for a total cost of $82.35. find the cost per unit of gas and electric.

Let g represent the cost of gas and e represent the cost of electricity.

150g + 520e = 84.20  ⇒  7(150g + 520e = 84.20)   ⇒  1050g + 3640e = 576.80

210g + 405e = 82.35  ⇒ -5(210g + 405e = 82.35)  ⇒  -1050g - 2025e = -411.75

                                                                                                        1615e = 165.05

                                                                                                                e = 0.10

150g + 520(0.10) = 84.20

150g + 52 = 84.20

140g = 32.20

     g = 0.23

gas = $0.23, electricity = $0.10

answer:

∠HLG = 18°

Step-by-step explanation:

∠HLG + ∠HLI = 90°

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

∠HLG = 9m = 9 × 2 = 18