Angles C and D are supplementary, meaning they add up to 180 degrees. So, if we add 8u-48 to 5u+46, we get 13u-2. We set that equal to 180, so 13u-2=180. Add the two, so 13u=182. Divide the 13, so u=14. To double check, plug in 14 to both expressions. 8(14)-48 and 5(14)+46. 8(14)-48 is 64. 5(14)+46 is 116. If you add 64+116, you get 180, which proves your answer right! So u= 14
Answer:
2nd option: 2y=6x+8 and y=3x+4
Step-by-step explanation:
If you divide the first by 2, you get the second equation.
This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.
In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.
Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation
Answer:
c-12
Step-by-step explanation:
Pythagoras theorem states that a²+b²=c²
144+b²=c²
b²=c²-144
b=c-12
b=x
x=c-12
1575 cubic inches
This is the answer to your question.
