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Answer:
Area of ΔDEF = 12 in²
Step-by-step explanation:
Since they are similar, we have to find the scale factor
Scale Factor =
Scale Factor = 4/2
Scale Factor = 2
<u><em>This means The area of ΔABC is 2 times the area of ΔDEF</em></u>
So,
ΔABC = 2(ΔDEF)
Where Area of ΔABC = 24 in²
24 = 2(ΔDEF)
Dividing both sides by 2
=> Area of ΔDEF = 12 in²
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Answer:
x ≈ 11.7
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos26° = =
( multiply both sides by 13 )
13 × cos26° = x , then
x ≈ 11.7 ( to the nearest tenth )