3 years ago

Zx and Zy are supplementary angles. Zy measures 97°. What is the measure of Zx?

1 answer:

3 0

Answer:

83 i think. I learned this a while ago so it might be wrong but i believe supplementary angles add to 180 and complementary add to 360 :)

Step-by-step explanation:

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3 years ago

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Greeley [361]

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comparing both the equation,

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3 years ago

Write the expression as a square of a binomial if possible: 1/9 x^2+ 2/15 x y+ 1/25 y^2

Vsevolod [243]

Answer: $\bold{\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2}$

<u>Step-by-step explanation:</u>

The square of the trinomial exists only if (a + b)² = a² + 2ab + b²

$\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2\\\\\\a=\sqrt{\dfrac{1}{9}x^2}=\dfrac{1}{3}x\\\\\\b=\sqrt{\dfrac{1}{25}y^2}=\dfrac{1}{5}y\\\\\\2\cdot a\cdot b=2\cdot \dfrac{1}{3}x\cdot \dfrac{1}{5}y = \dfrac{2}{15}xy\\\\\text{So, }\dfrac{1}{9}x^2+\dfrac{2}{15}xy+\dfrac{1}{25}y^2=\bigg(\dfrac{1}{3}x+\dfrac{1}{5}y\bigg)^2\\$

4 0

3 years ago