Provide missing statements and missing reasons for the proof of the following theorem.“The diagonals of a rhombus are perpendicular.”Given: Rhombus ABCD; diagonals 
and 
intersect at point XProve: 
S1. R1.S2. 
R2. The diagonals of a rhombus (
) bisect each other.S3. 
R3.S4. R4. All sides of a rhombus are congruent.S5. R5. SSSS6. 
R6.S7. R7.
What will be an ideal response?
and 
intersect at point XR1. Given
R3. Identity
S4. 
S5. 
R6. CPCTC
S7. 
R7. If 2 lines meet to form congruent adjacent angles, these lines are perpendicular.
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Write the compound statement in words.Let p: The food tastes delicious. q: We eat a lot. r: Nobody has dessert.(q ? p) ? r
A. We eat a lot or the food tastes delicious or nobody has dessert. B. We eat a lot or the food tastes delicious and nobody has dessert. C. We do not eat a lot or the food tastes delicious and nobody has dessert. D. We eat a lot and the food tastes delicious or nobody has dessert.
Write the partial fraction decomposition of the rational expression.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Find the quotient using long division.
A. x2 + 2x + 4 + 
B. x2 + 2x + 4
C. x2 - 2x + 8 + 
D. x2 + 2x + 
Solve the equation.21 + 2x = 32
A. {-2} B. {2} C. {4} D. {16}