2 years ago

Segments in Circles TW=3, CW=x, TU=x+7, VW=6. Find the value of x.

Mathematics

1 answer:

Kryger [21]2 years ago

4 0

Answer:

x=2

Step-by-step explanation:

The diagram is attached below

TW=3
CW=x
TU=x+7
VW=6

TU=TW+WU

x+7=3+WU

WU=x+7-3

WU=x+4

To determine the value of x, we apply the theorem of intersecting chords.

TW X WU = CW X WV

$x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\$Divide both sides by x\\x=2$

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2 years ago

If ED = 5y + 6 and DB = y + 30, find the value of y. Then find ED, DB, and EB.

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Answer:

Part 1) The value of y=6

Part 2) ED=36, DB=36 and EB=72

Step-by-step explanation:

In this problem we know that

ED=DB -----> equation A

EB=ED+DB -----> equation B

The point D is the midpoint ED

see the attached figure to better understand the problem

step 1

Find the value of y

Substitute the given values in the equation A

$5y+6=y+30$

solve for y

$5y-y=30-6$

$4y=24$

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step 2

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substitute the value of y

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Remember that

ED=DB

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$DB=36$

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$EB=36+36=72$

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