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Q:

 

In the figure below, \(\mathrm{m}\overline{\mathrm{AB}}=55^{\circ}\) and \(\mathrm{m}\overline{\mathrm{CD}}=59^{\circ}\). Find \(\mathrm{m}\angle\mathrm{CED}\).

Q:

If \(\mathrm{RT}=36\), find the value of \(x\).

Q:

In the diagram below,\(\overline{PR}\) and \(\overline{QS}\) intersect at \(T\) such that \(\overline{PQ} \left |  \right |\overline{RS}\). If \(PQ=6,PT=8,TQ=7\), and \(RT=10\) then which of the following is the length of \(\overline{SR}\)?

Q:

In the diagram below, \(\overline{\mathrm{BE}}\cong\overline{\mathrm{EC}}\)\(\mathrm{m}\angle\mathrm{BEC}=54^{\circ}\) and \(\mathrm{m}\angle\mathrm{A}=40^{\circ}\). Find \(\mathrm{m}\angle\mathrm{AEB}\).

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:

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

Q:

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

Q:

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

 

 

Q:

What is the measure of each angle of a regular \(16\)-gon? If necessary, round to the nearest tenth.

Q:

A rocket is launched from a tower. The height of the rocket,y in feet,is related to the time after launch,x in seconds,by the given equation. Using this equation,find the maximum height reached by the rocket,to the nearest tenth of foot.

\(y=-16x^{2} +261x+130\)

Q:

The materials for the fence,cost \(\$14.75\) per meter,and the materials for the ground cover costs \(\$25\) per \(m^{2} \)(square meter). In order to install the fencing and ground cover,you hire a company who changes you \(\$24.5\) per hour for 90 hours of work.

What is the cost to purchase all materials and install it all?

Q:

You work for the Mediterianium Shipping Company.Your boss needs you to figure out how many cube shaped boxes you can fit into your new Rectangular Parism shaped Shipping Container

Q:

A company makes wax candies shaped like rectangular prisms.Each candies is \(5 \)   \(cm\) long and \(15\)   \(\) \(cm\) tall.If the company used  \(5100 \)   \(cm^{2} \) of wax,how many candies did they make?

Q:

A curve has equation \(x^2+y^2=10\). The point \(P(3,1)\) is a point on the curve. Work out the equation of the tangent to the curve at \(P\).

Q:

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

Q:

The midpoint of \(\mathrm{AB}\) is \(\mathrm{M}=(1,3)\). One endpoint is \(\mathrm{A}=(-2,7)\). Find the coordinate of the other endpoint, \(\mathrm{B}\).

 

Q:

Milan wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is \(3\) feet and its with is \(24\) feet, Suppose each pack of seed covers \(12\) square feet. How many packs of seed will he need to cover the backyard?

Q:

A regular heptagon has a radius of approximately \(27.87\) cm and the length of each side is \(24.18\)cm.What is the approximate area of the heptagon rounded to the nearest whole number? Recall that a heptagon is a polygon with \(7\) sides.

 

A. \(1,173cm^2\)

B. \(2,125cm^2\)

C. \(2,359cm^2\)

D. \(4,250cm^2\)

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:

The exterior angle of a regular polygon measures \(72^{\circ}\). How many sides does the polygon have?

Q:

An ice cream company sells their product in a cylindrical container that is \(16\) cm tall and has a diameter of \(14\) cm. They are considering switching to a new container that is a rectangular prism whose base is \(20\times13\) cm. 

 

The company wants the new container to have the same volume as the old container. How tall should the new container be?

Q:

 

Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your answer to the neatest tenth if necessary.

Q:

 

Write the similarity statement and side length proportion for the two triangles shown. Use the fact that the scale factor from the large triangle to the small triangle is 3/2 to solve for \(x\)\(y\), and \(z\).

Q:

 

Given: \(\overline{\mathrm{XY}}\) is tangent to \(\odot\mathrm{Q}\) at point \(\mathrm{X}\) and to \(\odot\text{V}\) at point \(\mathrm{Y}\). Prove: \(\angle\mathrm{XQM}\cong\angle\mathrm{YVM}\)

Q:

 

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

\(10x\)

\(360-10x\)

\(90-10x\)

\(180-10x\)

Q:

 

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

Q:

 

\(\angle\mathrm{PRS}=(9x+2)^{\circ}\)\(\angle\mathrm{PQR}=(5x-1)^{\circ}\)\(\angle\mathrm{RPQ}=23^{\circ}\), solve for \(\mathrm{m}\angle\mathrm{PRS}\).

Q:

 

Enter a range of values for \(x\)

Q:

 

In the figure, the radius of circle \(\mathrm{A}\) is twice the radius of circle \(\mathrm{B}\) and four times the radius of circle \(\mathrm{C}\). If the sum of the circumferences of the three circles is \(42\pi\), find the measure of \(\mathrm{AC}\).

Q:

 

The graph of a function is shown. How to find the domain and the range of the function?

Q:

 

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

Q:

 

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

Q:

 

In the figure \(\overrightarrow{\mathrm{BA}}\) and \(\overrightarrow{\mathrm{BC}}\) are opposite rays. \(\overrightarrow{\mathrm{BF}}\) bisects \(\angle\mathrm{CBE}\). If \(\mathrm{m}\angle\mathrm{EBF}=6x+4\) and \(\mathrm{m}\angle\mathrm{CBF}=7x-2\), find \(\mathrm{m}\angle\mathrm{EBF}\).

 

Q:

 

Find the height, \(x\), of the triangle.

 

\(30\)

\(40\)

\(50\)

\(60\)

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:

Alandra's rectangular cake pan is \(33\) cm by \(23\) cm. She has enough batter to fill it to depth of \(3\) cm. Instead, Alandra wants to pour the batter into ice cream cones. She plans to fill each cone to a depth of \(9\) cm with a diameter of \(4\) cm. How many whole cones can Alandra fill?

Q:

Find the \(7\mathrm{th}\) term of the geometric sequence shown below:

 

\(-7x^8\)\(7x^{11}\)\(-7x^{14}\),...

Q:

Find the dimensions of a a rectangle with area is \(625~m^2\) whose perimeter is as small as possible.

Q:

Yamil's rectangular garden has the measurements of \(7.3\) feet by \(6.4\) feet. Find the perimeter of Yamil's garden.

 

\(13.7\) feet

\(46.72\) feet

\(26.4\) feet

\(27.4\) feet

Q:

Find a set of side lengths that makes a right triangle.

 

A. \(6\) ft, \(8\) ft, \(12\) ft,

B. \(16\) ft, \(30\) ft, \(34\) ft

C. \(8\) ft, \(15\) ft, \(24\) ft

D. \(5\) ft, \(10\) ft, \(15\) ft

Q:

A triangular prism has a volume of 240 cube meters which of the following are possible dimensions for the area of the base and the height of the prism?

Select all that apply.

 

\(B=48m^2, h=5m\)

\(B=24m^2, h=10m\)

\(B=12m^2, h=20m\)

\(B=50m^2, h=4m\)

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:

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

 

(1) \(\mathrm{F}(-6,12)\)

(2) \(\mathrm{F}(7,4)\)

(3) \(\mathrm{F}(12,-13)\)

(4) \(\mathrm{F}(2,5)\)

Q:

 

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

Q:

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

 

Q:

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

Q:

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

 

True or false. After dilation with center \(\mathrm{D}\) and scale factor of \(3\), the coordinates of the images are \(\mathrm{W}^\prime(15,-16)\)\(\mathrm{E}^\prime(-9,-12)\), and \(\mathrm{D}^\prime(3,18)\).

Q:

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

 

\((1,0)\)

\((-1,0)\)

\((3,3)\)

\((-3,3)\)

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.