Line segments AC and BD intersect at point E. Find the value of z. (2 points)
B
A
1370<...
Mathematics, 12.06.2021 14:00 beverly3966
Line segments AC and BD intersect at point E. Find the value of z. (2 points)
B
A
1370
E
(3x +41)
anchor chart
Supple-
mentary
Angles
Comple-
mentary
Angles
Adjacent | Vertical
Angle Angle
Find mZBEC
mZBEC
degrees
7
x
Two adjacent Two adjacent
angles that angles that
add up to add up to
180°
90°
Two angles
that are
next to
each other
Two angles
across from each
other formed by
two intersecting
lines
Answers: 3
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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