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AaronEarlMerringer
28.05.2020 •
Mathematics
Fill in the blank with the correct response.
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Ответ:
x=4
Step-by-step explanation:
Notice that the angle between side x and side 2 in the small right triangle on the left is the same angle between the sides x and (2+6 = 8) in the larger right angle triangle.
if we name the angle in question
, then we have for the small triangle on the left, the following trigonometric relationship:
because in that small triangle, the side adjacent (adj) to angle
is "2" and the hypotenuse (hyp) is "x" .
We can set some similar relationship for the larger triangle, which has a hypotenuse (hyp) of length (2+6 = 8), and that has for side adjacent (adj) to the angle
side "x":
Now, we can make both
expressions equal since they involve the same angle, and solve for "x" in the resultant formula:
therefore x is either "4" or "-4" to give 16 when squared.
We opt for the positive answer since we want a length.
Ответ:
Step-by-step explanation: