First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°
(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
The answer would be x = -9
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
I believe the correct answer is B. -5
Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
Horizontal component:
vₓ = 3 + 20 cos 20° = 21.8
Vertical component:
vᵧ = 0 + 20 sin 20° = 6.84
Magnitude:
v² = vₓ² + vᵧ²
v² = (21.8)² + (6.84)²
v = 22.8 m/s
Direction:
θ = atan(vᵧ / vₓ)
θ = atan(6.84 / 21.8)
θ = 17.4°
