Answer:
12°, 78°, 90°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 7x - 6 + 90 = 180, that is
8x + 84 = 180 ( subtract 84 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 12°, 78° and 90°
5/6 is closest to 1 because it it 1/6 away from 1 and is 5/6 away from 0 and is 2/6 away from 1/2 (referring 1/2 as 3/6) Hope this helps!
Answer:
two real, unequal roots
Step-by-step explanation:
y is definied as y = 3x - 1. Substitute 3x - 1 for y in xy = 9, obtaining:
x(3x - 1) = 9. Then:
3x^2 - x - 9 = 0. In this quadratic, the coefficients are a = 3, b = -1 and c = -9.
Calculating the discriminant b^2 - 4ac, we get (-1)^2 - 4(3)(-9), or 1 + 108, or 109. Because the discriminant is positive, we have two real, unequal roots.
