goneezy goneezy

11-04-2020
Mathematics

contestada

If DGH ~ DEF, find the value of x.

Respuesta :

annabanana08050 annabanana08050

29-03-2021

Answer:

x = 25

Step-by-step explanation:

DGH is congruent with DEF

(meaning DG is congruent with DE, GH is congruent with EF, DH is congruent with DF)

DG = 52 & DE = 91

GH = x + 3 & EF = 2x-1

in this case we can disregard DH and DF since its providing no information

write the equation as:

52 x+3

---- = -----

91 2x-1

cross multiply 52 and 2x-1 then cross multiply 91 and x+3

this should give you:

52(2x-1) = 91(x+3)

distribute:

104x - 52 = 91x + 273

then solve using algebra

13x - 52 = 263

13 = 325

x = 25

Hope this helps!!

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