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2 years ago

IPLEASE help me !!! Thanks

Mathematics

2 answers:

Zanzabum2 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]2 years ago

4 0

heyyeueueueueye uffur6idu6ru6rueueu

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