we know that
The measurement of the external angle is the semi-difference of the arcs it comprises.
so
Step
<u>Find the measure of the arc AJ</u>
m∠BDE=
in this problem we have
m∠BDE=
substitute in the formula
=
=
Step
<u>Find the measure of the arc FH</u>
m∠FGH=
in this problem we have
m∠FGH=
substitute in the formula
=
=
therefore
<u>the answer is</u>
the measure of the arc FH is
Answer:
see explanation
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± ( subtract 2 from both sides )
x = - 2 ±
Thus
x = - 2 - ≈ - 5.32 ( to 2 dec. places )
x = - 2 + ≈ 1.32 ( to 2 dec. places )