Answer:
90°, 51° and 39°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Let the smallest angle be x then the other angle is x + 12, thus
x + x + 12 + 90 = 180, that is
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
The other angle is 39 + 12 = 51
The 3 angles are 90°, 51° and 39°
Answer:
Weak negative correlation
Answer:
a) Prepare a frequency table for the data
Step-by-step explanation:
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
