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1 year ago

Help please asap geometry

Mathematics

1 answer:

zvonat [6]1 year ago

4 0

The solutions for each case are listed below:

x = 65
x = 35
(x, y) = (48, 21)
(x, y) = (15, 8)

<h3>How to solve on systems of linear equation by taking advantage of angle relationships</h3>

In this problem we must solve algebraic equations by taking advantage of angle properties. Now we proceed to solve the variables for each case:

Case 1 - Opposite angles

2 · x - 10 = 120

2 · x = 130

x = 65

Case 2 - Opposite angles

2 · x + 25 = 3 · x - 10

25 + 10 = 3 · x - 2 · x

35 = x

x = 35

Case 3 - Opposite angles generated by two perpendicular lines

2 · y + 50 = x + 44 (1)

5 · y - 17 = 7 · x - 248 (2)

- x + 2 · y = - 6

7 · x - 5 · y = 231

x = 48, y = 21

Case 4 - Opposited angles generated by two perpendicular angles

6 · x = 90 (3)

9 · y + 18 = 90 (4)

The solution to this system of linear equations is (x, y) = (15, 8).

To learn more on systems of linear equations: brainly.com/question/21292369

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$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

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