Respuesta :
a) the error is the first line, the angle isn't given as 90 degrees, but since the angles are bisected , they need to equal each other:
x-5 = 2x-6
add 6 to each side:
x+1 = 2x
subtract 1x from each side:
x = 1
2nd Picture:
Distance formula id subtracting X1 from X2 and Y1 from Y2, not X-y as shown.
d = √((-1 - 5)^2 + (15-16)^2)
d = √(-6^2 + -1^2)
d =√(36 +1)
d = √37 = 6.1
Bisect means to divide into 2 equal sections (not that their sum equals 90)
x - 5 = 2x - 6
-5 = x - 6 subtracted "x" from both sides
1 = x added 6 to both sides
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d = √[(x₂ - x₁)² + (y₂ - y₁)²] (not:√[ (x₁ - y₁)² + (x₂ - y₂)²])
= √[(5 - (-1))² + (16 - 15)²]
= √(6² + 1²)
= √(36 + 1)
= √37
≈ 6.1