Answer:
Angle A = Angle X
Line Segment CA = Line Segment ZX
Angle Y = Angle B
Line Segment YX = Line Segment BA
Step-by-step explanation:
Both triangles are stated to be equal so we can draw two triangles and label them. One triangle has Point A, Point B, and Point C. The second triangle has Point X, Point Y, and Point Z. Make sure that Point X on the second triangle is in the same spot as Point A on the first triangle (same for points B, C, Y, and Z).
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Answer:
he can make 27 packages and will have 3 pens left over
