Answer:

27 units

step-by-step explanation:chords that subtend congruent angles are congruent, so

3x -24 = x +10

2x = 34 . . . . add 24-x

x = 17 . . . . . divide by 2

using this, we can find be.

be = 3x -24 = 3·17 -24

be = 27 . . units

step-by-step explanation: 4 cause 2+2=4

Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)

(-2,3)x1 = -2 and y1 = 3

(8,2)...x2 = 8 and y2 = 2

now we sub and solve

d = sqrt ((8 - (-2)^2 + (2 - 3)^2)

d = sqrt ((8 + 2)^2 + (-1^2)

d = sqrt (10^2) + (-1^2)

d = sqrt (100 + 1)

d = sqrt 101

d = 10.05 <==

(-2,3)x1 = -2 and y1 = 3

(8,2)...x2 = 8 and y2 = 2

now we sub and solve

d = sqrt ((8 - (-2)^2 + (2 - 3)^2)

d = sqrt ((8 + 2)^2 + (-1^2)

d = sqrt (10^2) + (-1^2)

d = sqrt (100 + 1)

d = sqrt 101

d = 10.05 <==

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