SAT High School

Quadrilateral ABCD is similar to quadrilateral EFGH.
What is the value of s?
18 m
33.
5
11 m
110 m
990 m
99 m

Answers

Answer 1

Answer:

[tex]s = 11[/tex]

Explanation:

Given

The attachment completes the question.

Required

Find s

Because ABCD and EFGH are similar, then:

[tex]\frac{AB}{CD} = \frac{EF}{GH}[/tex]

From the attachment:

[tex]AB = 2s[/tex]

[tex]CD = 3s - 3[/tex]

[tex]EF = 5.5[/tex]

[tex]GH = 7.5[/tex]

So, we have:

[tex]\frac{2s}{3s - 3} = \frac{5.5}{7.5}[/tex]

Cross Multiply

[tex]2s * 7.5 = 5.5(3s - 3)[/tex]

Open bracket

[tex]2s * 7.5 = 5.5*3s - 5.5*3[/tex]

[tex]15s = 16.5s - 16.5[/tex]

Collect Like Terms

[tex]15s - 16.5s = - 16.5[/tex]

[tex]-1.5s = - 16.5[/tex]

Make s the subject:

[tex]s = \frac{-16.5}{-1.5}[/tex]

[tex]s = \frac{16.5}{1.5}[/tex]

[tex]s = 11[/tex]

Hence, the value of s is 11 m

Quadrilateral ABCD Is Similar To Quadrilateral EFGH.What Is The Value Of S?18 M33.511 M110 M990 M99 M

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A springboard, also known as a diving board, is a board that is also a spring specifically, a cantilever-style linear flex spring and is used for diving.

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Your answer

Answers

Answer:

         A

         /|

        / |

       /  |

      /   |

     /    | h

    /     |

   /      |

  /       |

 /    a    B

H    

 

[sorry, can't draw in the application.]

 

1. Slope from H to B is 25

   Slope from H to A is 77

   therefore the angle AHB is 77-25 = 52 degrees

 

2. the angle HBA is 25+90 = 115 degrees [draw a line parallel to the ground through B. Alternating interior angle will be 25 plus the right angle going vertical.]

 

3. Therefore angle HAB (at the top) is 180 - 52 - 115 = 13 degrees

 

Using Law of Sines

 

sin(HAB)      sin(AHB)

----------  = ------------

length a       length h

 

or, sin(13)      sin(52)

    --------  =  --------

        50             h

 

solve for h = approx 175 feet

 

 

Explanation:

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Answers

Explanation:

[tex]\tt{ 3a+45=52+2a }[/tex] ⠀

[tex]\tt{3a-2a=52-45 }[/tex] ⠀

[tex]\tt{ a=7 }[/tex] ⠀

[tex]\sf{ a=7}[/tex]

Explanation:

3a+45=52+2a

2a-3a=45-52

-a=-7

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Answers

Answer:

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