Answer:
y=37
Step-by-step explanation:
the addition of the 3 angles is 180°
then 40 + y +29 +2y = 180
69 + 3y =180
3y = 180 -69
3y= 111
y =111 ÷ 3
y = 37
3.
x = 3 because the 2 legs of 45-45-90 triangle are equal
y^2 = 3^2 + 3^2 = 18
y = sqrt 18 = 3 sqrt2
Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE