Age of Jen is 13.6 years old
<em><u>Solution:</u></em>
Let "x" be the age of Jack and "y" be the age of Jen
Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen
The above sentence can be written mathematically as:
Jack age + 2 = twice of age of Jen
The sum of Jacks age and three times Jen's age is 66
Jack age + three times Jen age = 66
x + 3y = 66 ---- eqn 2
Substitute eqn 1 in eqn 2
2y - 2 + 3y = 66
5y - 2 = 66
5y = 68
<h3>y = 13.6</h3>
Thus age of Jen is 13.6 years old
We use direct proportionality:
360⁰......Pi×R² (full circle)
120⁰.......x
x=120×pi×R²/360=pi×R²/3
x=pi×4²/3=16.76mi²
A=3×pi cm², for an angle of 2×pi/3=120⁰
In a similar way we compute the area of the full circle:
360.........x
120..........3×pi
x=3×pi×360/120=9×pi=3²×pi.
Thus the radius is 3cm.
Answer:
(0,3)
Step-by-step explanation:
Step 1: 7x-2y=-6 Step 2: 7x-2y=-6 solve by elimination of the y value
2(8x+y=3)2 +(16x+2y=6)
Step 3: 23x=0, which means <u>x=0</u>
Step 4: subtitute 0 into the equation 8x+y=3
you get 8(0)+y=3, which comes to 0+y=3
you get <u>y=3</u>
therefore the solution to this system is (0,3)
The answer is the last choice in the list. Angle A and angle B are equivalent angles.
Hope this helps! :)
