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bija089 [108]
3 years ago
10

Helppppppppppppppppp

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
FG = EH = square root (13^2 - 12^2)

= square root (169 -144)
= square root (25)
= 5


so area of rectangle = LxW = 12 x 5 = 60

answer
60 in^2 (D) last choice
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m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

<em>In parallelogram, Adjacent angles form a linear pair.</em>

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

<em>In triangle, angles opposite to equal sides are equal.</em>

m∠DFE = m∠DEF

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64° + 64° + m∠FDE = 180°

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