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yan [13]
3 years ago
9

37=-3+5(x+6) -13=5(1+4m)-2m Show work please *

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

-3+5(x+6)=37\ \ \ \ |\text{use distributive property}\\\\-3+(5)(x)+(5)(6)=37\\\\-3+5x+30=37\\\\5x+(-3+30)=37\\\\5x+27=37\ \ \ \ |-27\\\\5x=10\ \ \ |:5\\\\\boxed{x=2}\\-------------------------------\\5(1+4m)-2m=-13\ \ \ \ |\text{use distributive property}\\\\(5)(1)+(5)(4m)-2m=-13\\\\5+20m-2m=-13\\\\5+(20m-2m)=-13\\\\5+18m=-13\ \ \ \ |-5\\\\18m=-18\ \ \ \ |:18\\\\\boxed{m=-1}

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Step-by-step explanation:

Let us revise the cases of similarity

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In triangles DEF and DRQ

∵ m∠EDF = m∠REQ ⇒ vertical opposite angles

∵ m∠E ≠ m∠R

∵ m∠F ≠ m∠Q

<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>

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