A field hockey field is rectangular. Its width is 54.88 meters, and its perimeter is 289.76 meters. Find the length of the field
2 answers:
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Answer: 7
<u>Step-by-step explanation:</u>
m∠ABC = 40°. Since BD is an angle bisector <em>(divides the angle into two congruent angles)</em>, then m∠ABD = 20° and m∠CBD = 20°
ABD = 20 and ABD = 3x - 1
⇒ 20 = 3x - 1
⇒ 21 = 3x
⇒ 7 = x
<u>Check: </u>
CBD = 20 and CBD = 34 - 2x
⇒ 20 = 34 - 2x
⇒ -14 = -2x
⇒ 7 = x