Answer:
Step-by-step explanation:
Assumptions
You have to make some assumptions here without a diagram, and those assumptions can be wrong.
- The endpoints of <C at the same endpoints as the arc.
- The central angle is also 4x
- The measure of C is 1/2 the measure of the central angle.
With these in mind we can go on
Equation
- 2*<C = the measurement of the arc.
- 2*(x + 5) = 4x Properties of Arcs central angles and interior angles with the vertex and two other points on the legs of angle hitting the circumference.
Solution
Remove the brackets
- 2x + 10 = 4x Subtract 2x from both sides
- 2x - 2x + 10 = 4x - 2x
- 10 = 2x Divide both sides by 2
- 10/2 = 2x/2
- 5 = x Answer
You times the 5 by the four and then times the 9 by the 4 and you should get your answer
Answer:
Only options, A and E give 625/n¹² on simplification. The other options do not apply.
(5n⁻³)⁴ = (625/n¹²)
(25n⁻⁶)² = (625/n¹²)
Step-by-step explanation:
625/n¹²
a) (5n⁻³)⁴
According to the law of indices, this becomes
(5⁴)(n⁻³)⁴ = 625(n⁻¹²) = 625/n¹²
This applies!
b) (5n⁻³)⁻⁴
According to the law of indices, this becomes
(5⁻⁴)(n⁻³)⁻⁴ = (n¹²)/625 = n¹²/625
Does Not apply!
c) (5n⁻⁴)³
This becomes
(5³)(n⁻⁴)³ = 125n⁻¹² = 125/n¹²
Does Not apply!
d) (25n⁻⁶)⁻²
This becomes
(25⁻²)(n⁻⁶)⁻² = n⁻¹²/625 = 1/(625n¹²)
Does Not apply!
e) (25n⁻⁶)²
This becomes
(25²)(n⁻⁶)² = 625n⁻¹² = 625/n¹²
This applies!
A square with a side length of 8 inches would have an area of 8*8= 64 inches^2. If the area is multiplied by 36, the new area = 64*36 = 2304 inches^2. To find the new side length of the square, you take the square root of 2304, which equals 48. The side length of the square becomes 48 inches.
The equation is on y and x. We need to prove X+Y=100
Step-by-step explanation:
If the value of X=40,
Then value of Y could be 100-40 because the total count is 100.
Y=60.
Verification done by the given equation.
X+Y=100
Y=100-X
Y=100-40
Y=60
Therefore the value of the Y is 60