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​GEometry  State Test Practice

Using similar triangles to find the tangent of an angle

12/13/2017

 
In this figure, triangle GHJ is similar to triangle PQR.
Picture
Based on this information, which ratio represents tanH ?
A.)  8/15
B.)  8/17
C.)  15/8
D.)  17/8

​

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Find the missing side, given two triangles

12/10/2017

 
The figure shows ∆ABC ∼ ∆DEF with side lengths as indicated.
Picture
What is the value of x?
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Similar Triangles

12/10/2017

 
Triangle XYZ is shown.
Picture
Which triangle must be similar to triangle XYZ ?
​A.)  a triangle with two angles that measure 40°
B.)  a triangle with angles that measure 40° and 60°
C.)  a scalene triangle with only one angle that measures 100°
D.)  an isosceles triangle with only one angle that measures 40°
​

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Population density = people per square mile

12/9/2017

 
A study reports that in 2010 the population of the United States was 308,745,538 people and the land area 
was 3,531,905 square miles.  

Based on the study, what was the population density, in people per square mile, of the United States in 2010? 
Round your answer to the nearest tenth.


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Volume with globe in a box

12/8/2017

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A globe has a diameter of 12 inches.  It fits inside a cube-shaped box that has a side length of 12 inches.  What is
the volume, rounded to the nearest hundredth of a cubic inch, of the space inside the box that is not taken up by the globe?
​

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