On a 1:5 scale drawing of a car one part is 8 inches how long will the actual car part be
2 answers:
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Given:
In the circle, and
.
To find:
The following measures:
(a)
(b)
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[Opposite angles of a cyclic quadrilateral]
Now,
[Opposite angles of a cyclic quadrilateral]
Therefore, and
.
For this case we must simplify the following expression
We know that, by definition:
So, rewriting the expression we have:
We add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major's sign is placed:
Answer:
