<h2>
Answer:</h2>
is 3 ohms
<h2>
Step-by-step explanation:</h2>
In a circuit containing two resistors and connected together in parallel, the total resistance is given by;
---------(i)
<em>Make </em><em> subject of the formula;</em>
=>
=>
=> ---------------(ii)
From the question,
= 6Ω
= 2Ω
Substitute these values into equation (ii) as follows;
=>
= 3Ω
Therefore, the value of = 3 ohms or = 3Ω
Answer:
x = 15
Step-by-step explanation:
FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.
Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.
x + 8x + 3x = 180°
12x = 180°
12x/12 = 180/12
x = 15
Ratio:
Red : Total
2 : 5
(x2) (x2)
4 : 10
Green : Total
3 : 10
Total of red and green marbles = 4 + 3 = 7
Blue marbles = 10 - 7 = 3
10 parts = 40 marbles
1 part = 40 ÷ 10 = 4
3 parts = 4 x 3 = 12
Answer: There are 12 blue marbles.