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题目内容


Line $$l_1$$ is parallel with line $$l_2$$

Quantity A

AB

Quantity B

CD




A rectangle is folded in a way as the figure above shows. If ∠1=30°,then what is the angle of ∠ABC?


Quantity A

x+y

Quantity B

90






ABCD is a square.

Quantity A

$$x+90$$

Quantity B

$$u+w$$


Polygon P has n sides (n>4).

Quantity A

180 more than the sum of the degree measures of the interior angles of P

Quantity B

The sum of the degree measures of the interior angles of a polygon with n+1 sides




Quantity A: x-y

Quantity B: 20


Quantity A

∠x

Quantity B

∠y




Quantity A

$$y$$

Quantity B

115




AB∥DE

Quantity A

a+b+c

Quantity B

360°


If the measure of each interior angle of a regular polygon with n sides is between 110° and 130°, then n could be?

Indicate all such values.


In the figure shown, ABCD and EFGH are rectangles.

Quantity A

The sum of the measure of angle CPG and angle AQH

Quantity B

300°




A regular hexagon is inscribed inside the circle with a diameter of d

What is the perimeter of the hexagon?
If the perimeter of a regular hexagon inscribed inside a circle is 12, then what is the perimeter of an equilateral triangle inscribed inside the same circle?
A regular octagon is inscribed inside a square. If the perimeter of the square is 400, then what is the perimeter of the regular octagon?


AC is one of the diagonals of the regular octagon as shown above. If each side of the octagon is 1, what is the length of AC?


ABCDE is a regular pentagon.

Quantity A

x

Quantity B

36




A thin metal plate in the shape of a parallelogram has an area of 80 square inches and is cut into two pieces using two cuts. Each cut is parallel to a side of the plate, as shown, and the ratio of the length of each cut to the length of the side of the plate to which the cut is parallel is 3 to 4. What is the area, in square inches, of the piece of the plate represented by the shaded region?


In square MNOP shown, the two shaded square regions have areas in the ratio 9 to 1. If square region MNOP has area 144, what is the area of each of the two unshaded rectangular regions?
If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?


$$AB < AD$$

Quantity A

$$x$$

Quantity B

$$y$$


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