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Natalija [7]
3 years ago
8

IPLEASE help me !!! Thanks

Mathematics
2 answers:
Zanzabum3 years ago
6 0

9514 1404 393

Answer:

  (b) ΔPQR ~ Δ STR, PR = 16, SR = 12

Step-by-step explanation:

The similar triangles are ...

  ΔPQR ~ ΔSTR . . . . by AA similarity: S ≅ P; ∠SRT ≅ ∠PRQ

Corresponding sides are proportional, so we have ...

  PR/PQ = SR/ST

  (x +1)/8 = (x -3)/6

  3(x +1) = 4(x -3) . . . . . . multiply by 24

  3x +3 = 4x -12 . . . . . . . eliminate parentheses

  15 = x . . . . . . . . . . . . . . add 12-3x

Then the side lengths are ...

  PR = x+1 = 15 +1 = 16

  SR = x -3 = 15 -3 = 12

The similarity statement and side lengths match the 2nd choice.

alexandr1967 [171]3 years ago
4 0

heyyeueueueueye uffur6idu6ru6rueueu

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Refer to image below
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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Equality Properties

  • Multiplication Property of Equality
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Step-by-step explanation:

<u>Step 1: Identify</u>

Angle θ = A

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<u>Step 2: Solve for </u><em><u>A</u></em>

  1. Substitute [sine]:                                                                                             sinA = 27/42
  2. Simplify:                                                                                                           sinA = 9/14
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  5. Round:                                                                                                             A ≈ 40°
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