Answer:
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Step-by-step explanation:
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The length of q, to the nearest 10th of a centimeter is 7.6 cm.
Given in question,
In ΔOPQ,
o = 9.2 cm
p = 2.4 cm
∠Q = 37°
Cosine formula ⇒ cos θ =
Putting the values in equation,
cos 37 =
0.799 =
0.799*44.16 = 90.4 -
32.28 = 90.4 -
= 90.4 - 32.28
= 58.12
q = 7.6 cm (to nearest 10th)
Hence, length of q is 7.6 cm.
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x = 32
this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y
since we are solving for 'x' we can set up this equation:
3(2x-4) = 180
6x - 12 = 180
6x = 192