3 years ago

The sum of two consecutive integers is 31. Find the numbers.

Mathematics

1 answer:

Radda [10]3 years ago

6 0

X+(X+1)=31
x is the first number and the second number should be x+1, since they are consecutive

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

yaroslaw [1]

QP=24 cm

RS=11.25 cm

QS=18.75 cm

Explanation:

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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3 years ago

Jen wants to finish half of her book. She is on page 24. The book has 68 pages. The equation shown represents this situation. 24

Pepsi [2]

68Answer:

Step-by-step explanation:

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24+10=34

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3 years ago

Anna,Vickie, and Luanna are sisters. Anna is 3 years older thank Vickie, and Luanna is 2 years younger than Vickie. Use v for Vi

Dafna11 [192]

Anna= a
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solniwko [45]

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Step-by-step explanation:

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Yu-Xi draws a triangle with two angles measuring 79 degrees and 23 degrees.What is the measure, in degrees, of the third angle?

arlik [135]

79+23=102
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3 years ago

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