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2 years ago

What ordered pair represents the y -intercept of the graph of x+y=10

Mathematics

2 answers:

KIM [24]2 years ago

4 0

Y=-10 unless you find a calculator and put in y=x - 10

ExtremeBDS [4]2 years ago

3 0

X+y=10 in y-intercept is y=-x+10. 10 is the y intercept. The ordered pair is (0, 10)

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11. Given: TQ bisects ZRTP, QS || PT<br> RT = 30. Find QP, RS and QS

yaroslaw [1]

QP=24 cm

RS=11.25 cm

QS=18.75 cm

<u>Explanation</u>:

Given that TQ bisects <RTP

$therefore$ (1)

consider ΔRQS and ΔRPT

QS||PT,RP and RT are transversals

(alternate angles)(2)

comparing (1) and (2)

and triangle SQT is isocelus

Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)

Therefore <RQS=<RPT(corresponding angles)

<RSQ=<RTP(corresponding angles)

therefore by AA criterion for similarity

ΔRQS~ΔRPT

According to the property of similar triangles

$RQ/RP=RS/RT=QS/PT$ $9/RP=X/30=QS/50\\9/RP=X/30=(30-X)/50\\X/30=(30-X)/50\\50X=30(30-X)\\50X=900-30X\\50X+30X=900\\80X=900\\X=900/80=11.25\\RS=11.25 cm\\QS=30-X=30-11.25\\QS=18.75 cm\\9/RP=X/30\\9/RP=11.25/30\\9*30/11.25=RP\\RP=24 cm$

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