9514 1404 393
Answer:
36°, 54°, 90°
Step-by-step explanation:
We have to assume that the given measures are <em>angle</em> ratios, not <em>side</em> ratios. Sides in the ratios 2:3:5 will not form a triangle.
For some multiplier x, the angle values will total 180°.
2x +3x +5x = 180
x = 180/(2+3+5) = 18
Then the angle measures are ...
2x° = 2·18° = 36°
3x° = 3·18° = 54°
5x° = 5·18° = 90°
The angle measures are 36°, 54°, and 90°.
Answer:
Categorical or Continuous.
Step-by-step explanation:
Because the red appears in each colours (continuous)
X is the domain and y is the range
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
