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Q:

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.

 

Q:

Given \(m\parallel n\), find the value of x.

 

Q:

 

In the figure \(\overrightarrow{BA}\) and \(\overrightarrow{BC}\) are opposite rays. \(\overrightarrow{BF}\) bisects \(\angle\text{CBE}\).

If \(m\angle\text{EBF}=6x+4\) and \(m\angle\text{CBF}=7x-2\), find \(m\angle\text{EBF}\).

Q:

A rectangular athletic field is 100 yards wide and 500 yards long. How many square yards are there in the field?

Q:

Given the points C(-1, -3) and D(5, 6), find the coordinates of the point E on directed line segment CD that partitions CD into the ratio 2 to 1.

Q:

A translation maps the point E(-3, 10) to the point E'(2,1). If the same translation maps point F to the image point F'(7, -4) then which of the following are the coordinates of F?

 

(1) F(-6, 12)

(2) F(7, 4)

(3) F(12, -13)

(4) F(2, 5)

Q:

The vertices of \(\triangle\)WED are W(5, -2), E(-3, -4), and D(1, 6).

 

True or false. After dilation with center D and scale factor of 3, the coordinates of the images are W'(15, -6), E'(-9, -12), and D'(3, 18).

Q:

Find the volume of a pyramid with a square base, where the side length is the base is 7.5 cm and the height of the pyramid is 10.2 cm. Round your answer to the nearest tenth of a cubic centimeter.

 

Q:

Find the perimeter of the composite geometric figure, which consists of three semicircles and a square. Use \(\pi\approx3.14\).(Round to the nearest hundredth.)

 

Q:

Find the height, x, of the triangle.

 

 

A 30

B 40

C 50

D 60

Q:

\(\triangle\text{ABC}\) and \(\triangle\text{DEF}\) are congruent. If \(\text{AB}=\text{DE}\)\(\text{BC}=\text{EF}\)\(\text{m}\angle\text{ABC}=37^{\circ}\), and \(\text{m}\angle\text{EDF}=39^{\circ}\), what is the measure (in degrees) of \(\angle\text{EFD}\)?

 

Q:

Find the length of the hypotenuse in the following right triangle.

 

Q:

\(\overleftrightarrow{AD}\) is the perpendicular bisector of \(\overleftrightarrow{BC}\)\(BD=5x-10\) and \(DC=3x+10\). Determine the value of x.

Q:

In the figure below, if \(m\angle\text{AXC}=10x\), then \(m\angle\text{BXD}=?\).

 



\(10x\)

\(360-10x\)

\(90-10x\)

\(180-10x\)

Q:

Triangle LMN is translated to L'M'N'. L was located at -1,3 and L' was found at -8,1. If M is at 1,3 what would be the coordinates of M' be?

Q:

Find an equation of the circle that has center (-6,4) and passes through (-1, -2).

Q:

Find the length of the missing to the nearest tenth(do not forget your units).

 

Q:

Solve for \(\text{m}\angle\text{PRS}\)

 

 

\(\angle\text{PRS}=(9x+2)^{\circ}\)

\(\angle\text{PQR}=(5x-1)^{\circ}\)

\(\angle\text{RPQ}=23^{\circ}\)

Q:

Examine the following equation and determine the y-intercept and slope: y=-x

 

a. Slope is -x and intercept is 0

b. Slope is -x and y intercept is -1

c. Slope is -1 and y intercept is 0

d. Slope is -1 and y intercept is -1

Q:

The circumference of a circle is 16\(\pi \) cm. What is the area, in square centimeters? Express your answer in terms of \(\pi \).

Q:

Calculate the area of a circle with a diameter of 10.8 centimeters.

Q:

Which of the following sets of lengths can represent the measures of the sides of a right triangle?

 

A. 4, 5,6 

B. 5, 12, 15

C. 8, 10, 17

D. 20, 21, 29

Q:

In the rectangle, if \(SQ=11x-26\) and \(PR=5x+28\), find \(PR\).

 

Q:

What is the measure of each angle of a regular 18-gon? If necessary, round to the nearest tenth.

Q:

In the figure, the radius of circle A is twice the radius of circle B and four times the radius of circle C. If the sum of the circumferences of the three circles is 42π, find the measure of AC.