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3 years ago

What is the measure of E?

Mathematics

1 answer:

IceJOKER [234]3 years ago

6 0

You can get E real quick
how? you know that D is 90 and f is given 66 and you know that D+E+F=180 so E=180-(90+66) which gives us 24

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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

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

3 0

3 years ago

The drama club has sold 942 tickets to their play if their theater seats 57 in each row how many full rows were there be how man

kotegsom [21]

999 if you are adding

8 0

2 years ago

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kobusy [5.1K]

$a(x+3) < 5x+15-x\\\\ax+3a < 5x+15-x\\\\ax+3a < 4x+15\ \ \ |-3a\\\\ax < 4x+15-3a\ \ \ \ |-4x\\\\ax-4x < 15-3a\\\\(a-4)x < 15-3a\\\\\text{The solution is all real numbers if}\ a-4=0\ \ \ |+4\\\\\boxed{a=4}\\\\\text{Check:}\\\\4(x+3) < 5x+15-x\\4x+12 < 4x+15\ \ \ \ |-4x\\12 < 15\ TRUE\to x\in\mathbb{R}$

5 0

3 years ago

What’s the length of the hypotenuse?

denis23 [38]

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7 0

3 years ago

Tom went bowling with $27 to spend.He rented shoes for $5.75 and paid $4.25 for each game.

RideAnS [48]

Answer:

Step-by-step explanation:

Subtract the spent money to rent cost:

27-5.75=21.25

Divide the answer to the cost of each game:

21.25/4.25=5

he played 5 times.

6 0

3 years ago