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2 years ago

Please help soon! Thanks! Solve for x

Mathematics

1 answer:

spin [16.1K]2 years ago

5 0

Answer:

$x=27\degree$

Step-by-step explanation:

$\because AC || DE.... (given)$

$\therefore m\angle CAD= m\angle EDF\\ (corresponding \: \angle s)$

$\therefore m\angle BAD= m\angle EDF\\(\because B\in \overleftrightarrow{AC})$

$\therefore m\angle BAD= 2x\\(\because m\angle EDF=2x)$

$In\:\triangle BAD,$

$m\angle BAD+m\angle BDA+m\angle ABD= 180\degree$

$2x+2x+72\degree = 180\degree$

$4x= 180\degree -72\degree$

$4x= 108\degree$

$x= \frac {108\degree}{4}$

$x=27\degree$

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Please find the complete question in the attachment file.

$n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51$

$H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2$

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