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In the figure below, what is the relationship between x, y, and z?

The figure below is a regular hexagon.

Quantity A

a

Quantity B

b



The figure shows a regular 9-sided polygon inscribed in a circle with center O.

Quantity A

The perimeter of the regular polygon

Quantity B

3 times the perimeter of triangle OAB



The figure above is a regular hexagon

Quantity A

Length of AC

Quantity B

Length of BE


Between two similar pentagons, the length of each side of the smaller pentagon is half of the larger one. If the area of the larger pentagon is $$\frac{1}{3}$$, then the area of the smaller pentagon is?

Quantity A

∠ABD

Quantity B

∠BCD + ∠CDB




Quantity A

Length of AB

Quantity B

Length of BC



Quantity A: x
Quantity B: 90

The quadrilateral ABCD shown above is a parallelogram. BD=8, AC=10

Quantity A

AB

Quantity B

BC


In triangle ABC, if ∠A=58°, ∠B=62°, then the side a, b, and c corresponding to ∠A, ∠B and ∠C, respectively, can be arranged as which of the following inequality?
If x > 0, and two sides of a certain triangle have lengths 2x+1 and 3x+4 respectively, which of the following could be the length of the third side of the triangle?
Indicate all possible lengths.

For the convex polygon above, which of the following intervals contains all possible value of x?

In a quadrilateral ABCD, AB=4, AD=7, BC=5, then the range of CD is?
What is the probability of forming a triangle when randomly selecting three numbers as three sides out of 4, 5, 7, 8, 11?
Give your answer as a fraction.
If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the area?
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 12
III. 24

Which of the following statements individually provide(s) sufficient additional information to determine the area of triangle ABC above?
Indicate all such statements.
In an isosceles triangle, the length of one of the three sides is 5, while the total length of two sides is 10.

Quantity A

The perimeter of the triangle

Quantity B

15


In an isosceles triangle △ABC, ∠A=62°

Quantity A

∠B

Quantity B

∠C



Quantity A

The perimeter of rectangular

Quantity B

The sum of the perimeter of two triangles


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