We know that the sum of arc ND and arc ML divided by 2 is equivalent to 6x + 23.
Thus, we can form an equation:
6x + 23 = (11x + 8 + 3x + 14)/2
Simplify:
6x + 23 = (14x + 22)/2
Simply again:
6x + 23 = 7x + 11
Subtract 6x from both sides:
23 = x + 11
Subtract 11 from both sides
x = 12
Option A, or x = 12
-T.B.
164+56−(3+4+1)
=220−(3+4+1)
=220−(7+1)
=220−8
=212
Simplify the following:
(3 + 1/3)/(2 + 2/5)
Put 2 + 2/5 over the common denominator 5. 2 + 2/5 = (5×2)/5 + 2/5:
(3 + 1/3)/((5×2)/5 + 2/5)
5×2 = 10:
(3 + 1/3)/(10/5 + 2/5)
10/5 + 2/5 = (10 + 2)/5:
(3 + 1/3)/((10 + 2)/5)
10 + 2 = 12:
(3 + 1/3)/(12/5)
Put 3 + 1/3 over the common denominator 3. 3 + 1/3 = (3×3)/3 + 1/3:
((3×3)/3 + 1/3)/(12/5)
3×3 = 9:
(9/3 + 1/3)/(12/5)
9/3 + 1/3 = (9 + 1)/3:
((9 + 1)/3)/(12/5)
9 + 1 = 10:
(10/3)/(12/5)
Multiply the numerator by the reciprocal of the denominator, (10/3)/(12/5) = 10/3×5/12:
(10×5)/(3×12)
The gcd of 10 and 12 is 2, so (10×5)/(3×12) = ((2×5) 5)/(3 (2×6)) = 2/2×(5×5)/(3×6) = (5×5)/(3×6):
(5×5)/(3×6)
3×6 = 18:
(5×5)/18
5×5 = 25:
Answer: 25/18
Answer:
x = 13 and y = 5
Step-by-step explanation:
x + y = 18
x - y = 8
<u>Step 1: Find y</u>
x = 18 - y
(18 - y) - y = 8
18 - y - y - 18 = 8 - 18
-2y / -2 = -10 / -2
<em>y = 5</em>
<em />
<u>Step 2: Plug into x + y = 18 to get x</u>
x + 5 - 5 = 18 - 5
<em>x = 13</em>
<em />
Answer: x = 13 and y = 5
Answer:
5 units
Step-by-step explanation:
Given:-
- The area of the circle was computed to be A = 78.5
- The value of π is estimated to be = 3.14
Find:-
What is the radius of the circle?
Solution:-
- The area of a circle (A) with radius ( r ) is computed by the following formula:
A = π*r^2
- Divide the equation by π :
r^2 = ( A / π )
- Take the square root of the entire equation:
r = √ ( A / π )
- Substitute the given values:
r = √ ( 78.5 / 3.14 )
- Resolve the fraction:
r = √25
- The perfect square root of 25
r = 5
Answer: The radius of the circle is r = 5 units
