Given: is a right angleProve: and are complementarySupply missing statements and missing reasons for this proof.S1. R1. GivenS2. R2.S3. R3. Angle-Addition PostulateS4. R4.S5. R5.

What will be an ideal response?


S1. is a right angle

R2. Definition of right angle

R4. Substitution Property of Equality

S5. and are complementary

R5. Definition of complementary angles


Mathematics

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Solve the initial value problem.?2 - 3?y = ?5 sec ? tan ?; ? > 0, y(?) = 0

A. y = -  - ?3 , ? > 0
B. y =  + ?2 , ? > 0
C. y =  + ?3 , ? > 0
D. y = -  - ?2 , ? > 0

Mathematics

Perform the indicated operation. - 4

A. -7
B. -15
C. -8
D. -7

Mathematics

Graph the equation by determining the missing values needed to plot the ordered pairs.y - x = 2; (2, ), ( , 8), (4, )

A.

B.

C.

D.

Mathematics

Solve the problem.A rectangular piece of tin has an area of 630 square inches. A square of 2 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 836 cubic inches, what were the original dimensions of the piece of tin?

A. 13 in. by 40 in. B. 15 in. by 42 in. C. 17 in. by 44 in. D. 11 in. by 36 in.

Mathematics