Mathematics: Make x the subject 5y + 2x = 25

Make x the subject 5y + 2x = 25 - id522513987137, torresnoemi899

mcalepcrager

18.08.2021

a. 36.87°

b. 53.13°

c. Complementary angles (36.87° + 53.13° = 90°)

Step-by-step explanation:

a. Reference angle = x

Opposite side = 3

Adjacent side = 4

Therefore, using trigonometric ratio, we have:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(x) = \frac{3}{4}$

$x = tan^{-1}(\frac{3}{4})$

x = 36.87 degrees (nearest hundredth)

b. Reference angle = y

Opposite side = 4

Adjacent side = 3

Therefore, using trigonometric ratio, we have:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(y) = \frac{4}{3}$

$y = tan^{-1}(\frac{4}{3})$

y = 53.13 degrees (nearest hundredth)

c. Thus:

36.87° + 53.13° = 90°

Therefore, we can say the relationship between angles x and y Is that they are complementary angles.

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