Answer:
∠ Y = 34°
Step-by-step explanation:
Since XY = ZY then the triangle is isosceles and the base angles are congruent, thus
∠ X = ∠ Y , that is
6x - 23 = 4x + 9 ( subtract 4x from both sides )
2x - 23 = 9 ( add 23 to both sides )
2x = 32 ( divide both sides by 2 )
x = 16
Thus
∠ Z = 4x + 9 = 4(16) + 9 = 64 + 9 = 73° = ∠ X
Hence
vertex angle Y = 180° - (73 + 73)° = 180° - 146° = 34°
Answer:
11
Step-by-step explanation:
f(x) = x^2 - 3x + 1
f(-2) = (-2)^(2)-3(-2)+1
f(-2) = 4 + 6 + 1
f(-2) = 11
Just substiute -2 for x and sove.
First find the volume of the cylinder v = pi* r^2 * h
Then find the volume of the cone V = 1/3 * pi* r^2 * h
Then compare your two numbers.
Answer:
-0.5774
Step-by-step explanation:
Tan 150 degrees is the value of tangent trigonometric function for an angle equal to 150 degrees. The value of tan 150° is -1/√3 or -0.5774 (approx).
Wow that looks ahrd to solve sorry I can't help