Answer:
AB=29; BC=27
Step-by-step explanation:
So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.
So you would write it as such,,
4x+9+5x+2=56
Combine like terms
9x+11=56
Now you have to isolate the x by itself but first get rid of the 11.
9x+11-11=56-11
You would get
9x=45
Here you can divide 9 by both sides to isolate x.
9x/9=45/9
{x=5}
Now to find the value for both substitue x in the equations for both
1. AB=4x+9 where x is 5
4(5)+9 =AB
20+9 =AB
29=AB
You would do the same with BC
2. BC= 5x+2 where x is 5
5(5)+2= BC
25+2= BC
27=BC
If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC
Answer:
n= 27
Step-by-step explanation:
To solve first subtract the 90-degree angle:
180-90= 90
Then, convert into an equation:
3n+9= 90
Subtract 9 from both sides:
3n=81
Then divide by 3:
n= 27
Hope this helps!
Answer: Add 2 to each side
Step-by-step explanation:
9m-2=16
+2 +2
9m=18
Answer:
16 ounces
Step-by-step explanation:
First we are told that a container has a capacity of 16 ounces of liquid and therefore 16 ounces of liquid can fill that one container
The 16 ounces liquid from the 16 ounce container is fully emptied in a larger container and fills 87.5% of the larger container therefore the larger container is:
100/87.5×16 ounces= 18.285 ounces in liquid capacity
Therefore to fill the smaller 16 ounce container, the larger container would have to pour 16 ounces of liquid into the smaller container, and would would still have 18.285-16=2.285 ounces if it(the larger container) were filled to the brim(100%)
