4-5 and 3-6 are alternate interior angles
Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers
So algebraically, consecutive integers follow the form x, x+1, x+2, etc...
Since the sum of two consecutive integers is 239, this means:
x%2Bx%2B1=239
2x%2B1=239 Combine like terms on the left side
2x=239-1Subtract 1 from both sides
2x=238 Combine like terms on the right side
x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x
x=119 Divide
So our first number is x=119
So to find the next number, simply add 1 to it to get 119%2B1=120
Answer: So our two page numbers are 119 and 120
Answer:
Function
Step-by-step explanation:
Hope it help !!
Answer:
c
d
Step-by-step explanation:
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