Answer:
5
Step-by-step explanation:
distribute: 2x+6 = 4x-4
subtract 2x from both sides: 6 = 2x-4
add 4 to both sides: 10 = 2x
divide both sides by 2: 5 = x
x = 5
So what you want to do for all of these is move the variable that you want to be the subject to one side of the equation and the other ones to the other side, then divide.
For example:
With number 1, m = 3n + 2p, since you want to make p the subject, first single out p by subtracting 3n from both sides.
m - 3n= 3n + 2p - 3n
2p = m - 3n
Then divide everything by 2.
2p / 2 = m/2 - 3n/2
p = , you could also say 1/2m - 3/2n
p = 1/2m - 3/2n
Next question: just do the same thing.
a = 3c - 4
a + 4 = 3c - 4 + 4
3c = a + 4
/3 /3 /3
c = 1/3a + 4/3
Next question: same process.
P - 2a = 2a - 2a + 2b
2b = P - 2a
/2 /2 /2
b = 1/2P - a
Answer:
=
−
2
Step-by-step explanation: Distribute −
3
(
4
+
3
)
=
5
(
2
+
7
)
−
1
2
−
9
=
5
(
2
+
7
)
Answer:
Thus, the expression to find the measure of θ in radians is θ = π÷3
Step-by-step explanation:
Given that the radius of the circle is 3 units.
The arc length is π.
The central angle is θ.
We need to determine the expression to find the measure of θ in radians.
Expression to find the measure of θ in radians:
The expression can be determined using the formula,
where S is the arc length, r is the radius and θ is the central angle in radians.
Substituting S = π and r = 3, we get;
Dividing both sides of the equation by 3, we get;
1. D. because the angels of KRC and CRH added together is 180 degrees. Which equals a straight line.
2. Answer is A . BHR is equal to NHD, so it is 8x. But we need to find x first.
The right angle in the picture is 8x + (9x +5)
90 =8x + 9x +5
90 = 17x + 5
85 = 17 x
5 = x.
X is 5 so 8x is 40.
3. B. The opposite angles are equal to each other. and the sum of two angles side by side equal 180.
6x - 82 = 3x +23
group like terms
6x - 3x = 23 + 82
3x = 105
x = 35.
Answer is B
4.B. a complement angle added together will get you 90.
90 - 41 = 49
Answer is B
