3 years ago

Please help, which plan should you use to prove that an angle of ABCD is supplementary to both of its consecutive angles?

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Use angles on straight line add up to 180. Isosceles is all same angle

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point C(4,2) divides the line segment joining points A(2,-1) and B(x,y), such that AC:CB=3.1. what are the coordinates of point

White raven [17]

Answer: $B(x,y)=B(\frac{14}{3},3)$

Step-by-step explanation:

$\frac{4-2}{3} =x-4\\2=3x-12\\14=3x\\\frac{14}{3}=x\\\\\frac{2-(-1)}{3}=y-2\\3=3y-6\\9=3y\\3=y$

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

What is the factored form of the polynomial 3x-3y

sladkih [1.3K]

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

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3 years ago

The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18

KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

$x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x$

Sum of their ages will be

$x+x-9+x-9\\\\=3x-18$

According to question,

$1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19$

So, Age of older sister will be 19 years.

Age of the twins will be

$19-9=10\ years$

Hence, the age of the twins is 10 years.

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3 years ago

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3 years ago