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The length of the dilated line segment is 80 units.
<h3>What is dilation?</h3>Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:
The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
Answer:
27.37 and 9.18
Step-by-step explanation:
(4)
Using the cosine ratio in the right triangle
cos64° = =
( multiply both sides by x )
x × cos64° = 12 ( divide both sides by cos64° )
x = ≈ 27.37 ( to the nearest hundredth )
(5)
Using the sine ratio in the right triangle
sin35° = =
( multiply both sides by 16 )
16 × sin35° = x , then
x ≈ 9.18 ( to the nearest hundredth )