A dilation with a scale factor of 1/2 is applied to the three line segments shown. the resulting images are A’B’, D’E, and R’S.
drag and drop the measures to correctly match the lengths of the images
2 answers:
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Answer:
JK = 18
Step-by-step explanation:
LK = x - 1
KJ = x + 11
LJ = LK + KJ = x - 1 + x + 11
-> LJ = 2x + 10
LM = 12
By tangent secant segment theorem:
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Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:
Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°