Step-by-step explanation:
5x + 2 + 3x = 8x + 2
3 + 17x + 8 = 17x + 11
19 + 6x + 2x = 8x + 19
14x + 7 + 4 = 14x + 11
9x - 3 - 7x + 4 = 2x + 1
12x + 3x - 6 - 7f = 15x - 7f - 6
14x + 7 - 3x = 11x + 7
13z + 6u + 8x + 19 - u = 13z + 5u + 8x + 19
3z + 6 + 4z + 9 + 8u = 7z + 8u + 15
2x + 8z + 13u + 6z + 4u = 2x + 14z + 17u
14y + 13x + 12y + 19x + 4 = 26y + 32x + 4
5x + 18 - 13y + 12x + 8y = 17x - 5y + 18
21v + 8 - 12v - 7 + 3t - t = 9v + 2t + 1
3t + v - t + 7v = 2t + 8v
-1 + 18x -3y + x + 9y = 19x + 6y - 1
4x + 5y + 5x + 10y = 9x + 15y
Answer:
height = 5cm
Step-by-step explanation:
Volume of the cuboid = length x breadth x height
7500 = 25 x 60 x height
height = 7500 / 1500
height = 5
A) 2x-7=13
2x=20
x=10
B) 3x+4=25
3x=21
x=7
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
___
Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Get the y by itself
-2y= -3x + 1
Divide -2 to everything
y= 3/2x - 1/2
Other equation (get y by itself)
-6y= -9x + 3
y=3/2x - 1/2
Use substitution
3/2x-1/2=3/2-1/2
0=0
All real numbers (any value of x makes the equation true)
