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3 years ago

9. If two complementary angles are in theratio 3:7, find the supplement of thebigger angle.

Mathematics

2 answers:

ddd [48]3 years ago

6 0

Answer:

idk

Step-by-step explanation:

kotykmax [81]3 years ago

4 0

Complementary angles are pair angles with the sum of 90 degrees. We have Two complementary angles are in the ratio 3:7:

α = 3k

β = 7k

Then:

3k + 7k = 90°

10k = 90

k = 90/10

k = 9

The bigger angle is:

β = 7(9) = 63°

Two Angles are Supplementary when they add up to 180 degrees. Then the supplementary angle for β is:

x = 180 - 63°

<h2>x = 117° → ANSWER</h2>

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From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

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In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

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Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

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3 years ago

9. If two complementary angles are in theratio 3:7, find the supplement of thebigger angle.​

9. If two complementary angles are in theratio 3:7, find the supplement of thebigger angle.