By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Answer:
x = 11
Step-by-step explanation:
Using Secants ad Segments Theorem we can say;
(x + 7) (7) = (15 + 6) (6)
7x + 49 = (21) (6)
7x + 49 = 126
7x = 77
x = 11
Hope this helps!
Answer:
<em>4,524 gallons</em>
Step-by-step explanation:
The volume of any cylinder is
π (radius)² (height) .
The pool's radius is 1/2 its diameter = 8 ft. So its volume is
π (8 ft)² (3 ft)
= π · (64 ft²) · (3 ft)
= π · 192 ft³
= 603.2 ft³ .
(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons
Hope this helps :D
Answer:
1,500
Step-by-step explanation:
Ratio of Sugar to Flour: 5:8 -> 25:40
Ratio of Flour to Baking Soda: 10:1 -> 40:4
Sugar to Flour to Soda: 25x:40x:4x
= 
-> x = 60
Sugar = 25x = 1,500
Hope this helps :)
Answer:
x = 25.5 degrees
Step-by-step explanation:
x is part of an isosceles triangle.
Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.
That leaves 51 for the rest of the angles, which we have to divide by 2.
51 / 2 = 25.5 degrees
