We can set Maggie's age to x
If her brother is six years younger than four times her age, than her brother must be equal to: 4x-6
Since the sum of their ages is 39, we can set up an equation.
(Sum of Maggie's age) + (sum of Maggie's brother's age) = 39
x + (4x -6) = 39
5x -6 = 39
5x = 45
x = 9 , Maggie's age is 9
Answer:
<em>68 degrees</em>
Step-by-step explanation
If <3 and <4 are vertical angles, then <3 = <4
This means that
9x + 5 = 5x + 33
9x - 5x = 33 - 5
4x = 28
x = 28/4
x = 7
Since <4 = 5x+ 33
<4 = 5(7) + 33
<4 = 35 + 33
<4 = 68 degrees
<em>Hence the measure of <4 is 68 degrees</em>
6t^-7 * 3t^5 = 1/6t^7 * 3t^5
Answer: y=5x+3
Step by step explanation:
Perpendicular meaning that the product of the slope/gradient is -1 hence ...
-1/5 * x = -1
x = -1/-1/5
x = 5
The equation perpendicular to y=-1/5x-3 is y=5x-c
Now it contains the points (1,2)
x variable is 1 and y variable is 2 plug them into the line equation
2=5(1)-c
2=5-c
2-5=-c
-3=-c divide by -1
3=c
Hence the perpendicular equation is y=5x+3
Hopefully it’s correct :)
Answer: 
Step-by-step explanation:
Rewrite it in the form 
, where 
Use Square of Sum: 
