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Westkost [7]
3 years ago
8

The proof that ΔRST ≅ ΔVST is shown. Given: ST is the perpendicular bisector of RV. Prove: ΔRST ≅ ΔVST Triangle R S V is cut by

perpendicular bisector S T. Point T is the midpoint of line segment R V. What is the missing reason in the proof? Statements Reasons 1. ST is the perpendicular bisector of RV. 1. given 2. ∠STR and ∠STV are right angles. 2. def. of perpendicular bisector 3. RS ≅ VS 3. ? 4. ST ≅ ST 4. reflexive property 5. ΔRST ≅ ΔVST 5. HL theorem perpendicular bisector theorem converse of the perpendicular bisector theorem Pythagorean theorem SSS congruence theorem
Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
4 0

Answer:

perpendicular bisector theorem

Step-by-step explanation:

uwu.

Anton [14]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Edg

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Black_prince [1.1K]

Answer:

C

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Step-by-step explanation:

5 0
3 years ago
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Find dy/dx given that y = sin x / 1 + cos x​
kobusy [5.1K]

Answer:

\frac{1}{1 +  \cos(x) }

Step-by-step explanation:

y =  \frac{ \sin(x) }{1 +  \cos(x) }

<u>differentiating numerator wrt x :-</u>

(sinx)' = cos x

<u>differentiating denominator wrt x :- </u>

(1 + cos x)' = (cosx)' = - sinx

  • Let's say the denominator was "v" and the numerator was "u"

(\frac{u}{v}  )'  =  \frac{v. \: (u)'  - u.(v)' }{ {v}^{2} }

here,

  • since u is the numerator u= sinx and u = cos x
  • v(denominator) = 1 + cos x; v' = - sinx

=  \frac{((1 +  \cos \: x) \cos \: x )- (\sin \: x. ( -  \sin \: x)  ) }{( {1 +  \cos(x)) }^{2} }

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since cos²x + sin²x = 1

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6 0
3 years ago
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Archy [21]

Answer:

Volume: 112 m³.

Surface area: 172 m².

Step-by-step explanation:

The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.

The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.

2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².

Hope this helps!

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Answer:

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Step-by-step explanation:

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