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n200080 [17]
3 years ago
6

laura is buying a television it has 34 inch screen if it has 16 inches tall how wide is the screen her television cabinet is 19

inches wide will the television fit ?
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
7 0
19 I just took the test
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dimulka [17.4K]

Answer:

Triangle rsu = Triangle tus

Statements Reasons

UR ≅ TS  Definition of Rectangle

US ≅ US Reflexive Property

<U, <T, <R, <S are all congruent and right angles

Definition of Rectangle

ΔRSU ≅ ΔTUS Side, Angle, Side

UR ≅ TS     CPCTC

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RSU ≅ TUS

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2. Pythagoras Theorem

Triangle RUS

A^2 + B^2 = C^2

Uu^2 + Ss^2 = Rr^2

√Rr = Rr^2 = x

Triangle TUS

A^2 + B^2 = C^2

Ss^2 + Uu^2 = Tt^2

√Tt = Tt^2 = x

UR measure / sin (60) x (90) = US measure.

ST measure / sin (60) x (90) = US measure.

Proves angles RSU = 30 degree

Proves angles  TUS = 30 degree

As all adjacent angles in a triangle add up to 180 degree.

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