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forsale [732]
3 years ago
7

Can someone Help I’ve been stuck on this

Mathematics
2 answers:
N76 [4]3 years ago
6 0

Answer:

x = 5, y = 12

Step-by-step explanation:

I highly encourage you to follow along drawing the diagram and filling the measurements in as we go along for better understanding.

straight line angles add up to 180 degrees

x) 125 + 12x - 5 = 180

125 - 5 + 12x = 180

120 + 12x = 180

12x = 180 - 120

12x = 60

x = 5

y) vertically opposite angles are equal hence the lower parallel line will have 125 to the left of 12x - 5.

co-interior angles: - inside parallel lines

                              - same side of the transversal

                              - add up to 180

                              -the left of the transversal will have 125 at the bottom and                                                                  55 at the top

having that, 8y + 29 + 55 = 180

8y + 84 = 180

8y = 180 - 84

8y = 96

y = 12

EastWind [94]3 years ago
3 0

Answer:

x=5

y=12

Step-by-step explanation:

the equation is

12x-5+125=180

12x+120=180

12x=60

x=5

According to the question

8y+29=125

8y=96

y=12

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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

x(x+2) = 5( x +x+2) - 1

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

x² - 8x - 9 = 0

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

The factors are -9 and +1

x² + x - 9x - 9 = 0

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

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

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

I hope this was helpful, please rate as brainliest

6 0
2 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Take it times two.

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Proportion

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Cross multiply and solve for x.

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