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kristalmakhija
11.03.2020 •
Mathematics
The diagram shows a rhombus inside a regular hexagon work out the angle x
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Ответ:
x = 60°
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
So, the measure of the angle x = 60°
Ответ:
x is undefined
Step-by-step explanation:
Given the equation
2^(2x-1)-9 X 2^(x-2)+1=0
Recall that
a^x * a^y = a^x+y
Hence
2^(2x-1)-9 X 2^(x-2)+1=0
2^(2x-1)-9 + (x-2)+1 = 0
2^2x - 1 -9 + x -2 + 1 = 0
x is undefined