Mathematics: Nthe figures, δcda ≅ δxyz . name the congruent angles. ∠c ≅∠y, ∠d ≅∠x, ∠a ≅∠z ∠c ≅ ∠z, ∠d ≅∠y, ∠a ≅∠x ∠c ≅ ∠x, ∠d ≅∠y, ∠a ≅∠z ∠c ≅ ∠d, ∠a ≅∠x, ∠y ≅∠z

Step-by-step explanation:Equation of a circle is given as : Take the derivative of the above with respect to xThe equation of the tangent is given by :...

Nthe figures, δcda ≅ δxyz . name the congruent angles.

Ответ:

19youngr

15.03.2022

Mathematics

When writing the congruent triangles, the otder of the letters is EXTREMELY important.
This is because, each angle in the first triangle is congruent to its corresponding angle in the second triangle and each side in the first triangle is congruent to its corresponding sode in the second triangle.

Now, we are given that triangle CDA is congruent to triangle XYZ.
Based on the above explanation, we can conclude that:
angle C is congruent to angle X
angle D is congruent to angle Y
angle A is congruent to angle Z

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Ответ:

emilypzamora11

26.01.2020

Mathematics

y = -0.75x + 9.5

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$

The equation of the tangent is given by :

$y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5$

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Nthe figures, δcda ≅ δxyz . name the congruent angles. ∠c ≅∠y, ∠d ≅∠x, ∠a ≅∠z ∠c ≅ ∠z, ∠d ≅∠y, ∠a ≅∠x ∠c ≅ ∠x, ∠d ≅∠y, ∠a ≅∠z ∠c ≅ ∠d, ∠a ≅∠x, ∠y ≅∠z

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