AMC 10/12 Student Practice Questions
1 answer:
Answer:
Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are of these parts in total. Because each of these parts make up
of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of parts.
The top right and bottom left have and
parts shaded, respectively, for a total of
parts.
Therefore, in total, there are parts shaded out of
total parts.
Thus, the percentage of the total area that is shaded is:
.
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Answer:
Step-by-step explanation:
If we drew an auxiliary line parallel to line and line
that intersects the vertex of
, we would form three angles, one of them being
The largest of these angles corresponds with the angle marked as .
The angle on the bottom right corresponds with the angle next to the one marked as . Therefore, its measure is
.
Since there are in a circle, we can now write the following equation:
.