3 years ago

Alternate exterior angles theorem

Mathematics

1 answer:

Naily [24]3 years ago

6 0

Answer:

x = 116

x° = 116°

(x - 52)° = 64°

Step-by-step explanation:

this shape is a right angle trapezoid and there are two 90° angles

the sum of all interior angles is 360°

90 + 90 + x + x - 52 = 360

2x - 52 = 180

2x = 232

x = 116

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Find a polynomial f(x) of degree 3 with real coefficents and following zeros. -4,4i

ElenaW [278]

Answer:

$f(x)=x^3 +4x^2 +16x +64$

Step by step explanation:

$\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64$