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zubka84 [21]
2 years ago
10

Prove that the following triangles are similar?

Mathematics
1 answer:
Neporo4naja [7]2 years ago
7 0

Answer:

You have that:

angle N = angle Z

and

angle ZYX = angle NYM (because they are vertical angles

Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.

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Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4
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Given :

Three roots , \sqrt{7},\ -\sqrt{7},\ -4 .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0

Therefore, the cubic function of given zeroes is x^3+4x^2-7x-28=0.

Hence, this is the required solution.

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saul85 [17]

Answer:

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Step-by-step explanation:

x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}  \\ x =  \frac{1 +  -  \sqrt{ {( - 1)}^{2} - 4(2)( - 6) } }{2(2)}  \\ x =  \frac{1 +  -  \sqrt{1  + 48} }{4}  \\ x =  \frac{1 +  -  \sqrt{49} }{4}  \\ x =  \frac{1 +  - 7}{4}  \\  \\ x1 =  \frac{1  + 7}{4}  =  \frac{8}{4}  = 2 \\ x2 =  \frac{1 - 7}{4}  =   - \frac{6 }{4}  =  -  \frac{3}{2}

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3 years ago
How many gallons of gas did Randy use to drive 189 miles?
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Answer:

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Step-by-step explanation:

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