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homework
5.02: swbat identify and apply the properties of rhombi and squares to find missing angles and sides
show all work and annotations for full credit. use your quadrilateral property reference sheet!
**#1.) in square quad shown, ( ab = 3x ) ft, ( dq = 5x + 2 ) ft, and ( aq = 3x + 3 ) ft.
a.) determine the perimeter of the square.
b.) if ( mangle bau = (5y)^circ ) determine the value of ( y ).
#2.) sat question: if ( 5x + 6 = 10 ), what is the value of ( 10x + 3 )? (show your work!)
a. 4
b. 9
c. 11
d. 20
**#3.) in rhombus ( abcd ) shown, ( mangle cde = 42^circ ).
a) fill-in all angles in the diagram.
b) what type of triangle is ( \triangle abe )?
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2.*calcium &
oxygen
- *the chemical formula for lithium oxide is __.
(b) ( li_2o ) (c) ( lio_2 ) (d) ( li_2o_3 )
(ii) chloride? (d) ( fecl_3 )
Question #2 Solution:
Step1: Solve for \( x \) from \( 5x + 6 = 10 \)
Subtract 6 from both sides: \( 5x = 10 - 6 = 4 \)
Then divide by 5: \( x = \frac{4}{5} \)
Step2: Substitute \( x \) into \( 10x + 3 \)
Calculate \( 10x \): \( 10 \times \frac{4}{5} = 8 \)
Add 3: \( 8 + 3 = 11 \)
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c. 11