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hmae2304
17.03.2021 •
Mathematics
12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3
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Ответ:
D) 4/3
Step-by-step explanation:
12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3
IF tan Z = 3/4
Since m<Y = 90 degrees
Let the opposite side be XY
YZ be the adjacent side
and XZ is the hypotenuse
Given
tan theta = opp/adj
opp = 3 = XY
adj = 4 = YZ
Get the hypotenuse
hyp^2 = 3^2 + 4^2
hyp^2 = 9 + 16
hyp^2 = 25
hyp = √25
hyp = 5
for tanX;
Side opposite to angle X is YZ
Adjacent side = XY = 3
opposite = YZ = 4
Tan X = YZ/XY
Tan X = 4/3
Hence the prediction of Tan X is 4/3
Ответ:
80 = .5k
k = 160
y = 160*2.25
y = 360