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Step-by-step explanation:

1.    Mathew earns each month = $5000

Mathew spent every month = $3750

so, percentage of money that Mathew spent

= (money spent ÷ total money of every month) ×100

= (3750 ÷ 5000) ×100

= 75%

hence, Mathew spent 75% every month

2. selling price of websites that Tifton sell = $3500

commission makes by Tifton on the websites = 35%

so, commission make by Tifton = percentage of commission × selling price of website

= 35% × 3500

=(35 ÷ 100) × 3500  

= $1225

so, commission make by tifton on the websites is $1225

3.  cost of 42 inch TV = $1250

sale on 42 inch TV = 15%

so, the cost of TV after sale = cost of TV - percentage of sale

                                            = 1250 - (15 ÷ 100) × 1250

                                             = 1250 - 287.5

                                              = $1062.5

now, sale tax on TV = 6.5%

so, the cost of TV after sale tax = cost of price after sale + percentage of sale tax

= 1062.5 + (6.5 × 1062.5) ÷100

= 1062.5 + (65 × 10625) ÷10000

= 1062.5 + 69.0625

= $1131.5625

hence, the final cost of TV is $1131.5625

4.  weight of metal bar = 8.15 ounces

silver bar in the metal bar = 93%

so, weight of silver = percentage of silver bar × weight of metal bar

=93% × 8.15

=(93 × 8.15) ÷ 100

= (93 × 815) ÷10000

= 75795 ÷ 10000

=7.5795

hence, 7.5795 ounces of silver bar is in the metal bar

5.  construction - draw a parallel line GF from point G to touch on EB at F

solution - now, CF║FG and CE = FG

hence , CEGF is a rectangle

so, CE = FG (l) = 20 cm

and CG = EF (b)= 10cm

therefore area of rectangle = l×b

                                             = 20×10

                                            = 200cm²

height of triangle GFB = 20 cm

and BF base of triangle = 30 -10

                                       = 20 cm

therefore, aera of ΔGFB = 1/2 ×b×h

                                        = 1/2×20×20

                                        = 1/2×10×20

                                        = 200cm²

so, area of figure = area of rectangle + area of triangle

= 200 cm² + 200 cm²

= 400cm²

1/5^2 = 7.56/45

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.