What is (7 x 1)+(4x1/10)+ (6x1/1000 written as a decimal in standard form
2 answers:
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When two straight lines intersect, the vertical opposite angles
intersect. the other two angles are also equal. Let the known angle be
x, then the other two adjacent angles are obtained subtracting twice of x
from 360 and dividing the result by 2.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
Answer:
(a) 0
(b) f(x) = g(x)
(c) See below.
Step-by-step explanation:
Given rational function:
<u>Part (a)</u>
Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:
Substitute x = -1 to find the limit:
Therefore:
<u>Part (b)</u>
From part (a), we can see that the simplified function f(x) is the same as the given function g(x). Therefore, f(x) = g(x).
<u>Part (c)</u>
As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero). Therefore, the quotient approaches infinity.