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stiv31 [10]
3 years ago
9

3) GRIP is a rectangle with: PS = 6x - 4

Mathematics
2 answers:
OlgaM077 [116]3 years ago
4 0
Panu yan Hahahaha morning is a great game and a lot better and
german3 years ago
3 0

Answer:PR = 64; m∠2 = 63°; m∠RSI = 54°

because GRIP is a rectangle

=>PR = GI = 2PS

<=> 10x + 4 = 2.(6x - 4)

<=> 10x + 4 = 12x - 8

<=> 2x = 12

<=> x = 6

because PR = GI => PR = 10x + 4 = 10.6 + 4 = 64

GRIP is a rectangle => PS = SI

=> ΔPSI is a isosceles triangle

=> m∠1 = m∠2

but m∠2 + m∠3 = 90°

=> m∠1 + m∠3 = 90°

<=> 2y + 7 + 6y + 3 = 90

<=> 8y + 10 = 90

<=> 8y = 80

<=> y = 10

with y = 10 => m∠2 = 2.10 + 7 = 27

we also have: RS = SI

=> ΔRSI is a isosceles triangle

=> m∠3 = m∠4 = 90° - 27° = 63°

=> m∠RSI = 180° - 63°.2 = 54°

Step-by-step explanation:

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