Answer:
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Step-by-step explanation:
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<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>
Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
Answer:
25
Step-by-step explanation:
Answer:
20 units
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
P = 2( 3x+2 + 4x)
Adding like terms
P = 2( 7x+2)
We know the perimeter is 74 units
74 = 2 ( 7x+2)
Divide by 2
74/2 = 2/2 (7x+2)
37 = 7x+2
Subtract 2 from each side
37-2 = 7x+2-2
35 = 7x
Divide by 7
35/7 = 7x/7
5 =x
We want to find the length RS = PQ = 4x
RS = 4x = 4*5 = 20
