It equals 5/6 And the decimal form is 0.8333 and so on
Use Law of Cosines g^2 = f^2 + h^2 -2fhCosG f^2 = g^2 + h^2 -2ghCosF h^2 = f^2 + g^2 -2fgCosH
f^2 = 28^2 + 15^2 -2*28*15Cos87 28^2 = 31^2 + 15^2 -2*31*15CosG
f^2 = 784 + 225 - 43.96 784 = 961+225 - 930CosG
f^2 = 965.0378 784 - 1186 = -930CosG
f = 31 -402 = -930CosG Divide by -930
.432258 = CosG
Cos^-1(.432258) = G
G = 64 degrees
Angle H = 180 - 64 - 87 = 29 degrees
Side f = 31 Angle F = 87 degrees
Side g = 28 Angle G = 64 degrees
Side h = 15 Angle H =29 degrees
Answer:
<h2>x = 10</h2>
Step-by-step explanation:
ΔFGH ~ΔMNO ( given )
FG / GH = MN / NO. ( by Basic Proportionality Theorm )
so, therefore
6 / 9 = x / 15
x = 6×15 / 9
x = 90 / 9
x = 10
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