X=20
If they're parallel the other number in the same spot as 5x+15 equals that, so 5x+15=115 because if they are parallel they're the same if same spot and same line going through them.
115-15 = 100
5x=100
Divide by 5 both sides
X=20
If x=20 then these lines would be parallel
Answer:
Big Smiles Toy Company should choose Box B as its volume is 82.5 
larger than Box A
Step-by-step explanation:
Given
Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height
Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height
Volume of Box A= Length
width height=
Volume of Box B =Length width height= 
Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5
Box B has 82.5 volume larger than Box A
-4x - 5y = 7
3x + 5y = -14
You can add these two equations together straightaway since the y-terms have opposite coefficients.
-4x - 5y = 7
3x + 5y = -14
+___________
-x - 0 = -7
-x = -7
x = 7
Substitute 7 for x into either of the original equations and solve algebraically to find y.
3x + 5y = -14
3(7) + 5y = -14
21 + 5y = -14
21 = -14 - 5y
35 = -5y
-7 = y
Finally, check work by substituting both x- and y-values into both original equations.
-4x - 5y = 7
-4(7) - 5(-7) = 7
-28 + 35 = 7
7 = 7
3x + 5y = -14
3(7) + 5(-7) = -14
21 - 35 = -14
-14 = -14
Answer:
x = 7 and y = -7; (7, -7).
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
4x - 4x - 5 = -5
4x - 4x = -5 + 5
0 = 0
this equation has infinite solutions
