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KATRIN_1 [288]
2 years ago
12

Find x. Assume that segments that appear tangent are tangent.

Mathematics
2 answers:
Marizza181 [45]2 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

The length of line segments joining a common point to tangents are always equal.

RS = RQ = 2

PW = PQ = 3

x = PQ + QR = 3 + 2 = 5

irina1246 [14]2 years ago
5 0

Answer:

x = 5.

Step-by-step explanation:

Finding lengths of the unmarked sides:

PQ = PW = 3

QR = 2

VW = 6

ST = 9    ( because  in each case lines drawn from a point outside a circle as tangents to the circle are congruent)

S0 x = PQ + QR

= 3 + 2

= 5.

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KATRIN_1 [288]
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Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how
Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

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Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

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Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

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x(x + 1) -9( x +1)

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Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

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6 0
3 years ago
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