Answer:
The three angles form a "linear triplet" , so their measures must add up to 
Step-by-step explanation:
Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.
They are integers that follow one right after another. For example the set {1,2,3,4,5} represents consecutive numbers. Another example would be {9,10,11,12,13}
In general, if x is some integer, then x+1 is the next integer right after x, and x+2 is right after x+1 and so on. The list is {x, x+1, x+2, x+3, ...} representing any general set of consecutive numbers.
The value of x is 4. The steps to solving the equation are to use distributive property first so that the equation then looks like this: 10x+20=5x+40
Next you would combine like terms and then the equation would look like this: 5x+20=40
Then you would use the subtraction property of equality to subtract 20 from 40 so your equation will now look like this: 5x=20
Then you use the division property of equality to divide 20 by 5 to get x=4
Answer:
The sides are 3, 4, and 5
Step-by-step explanation:
Let one side be 'n', if the side lengths are consecutive integers, we have
n
n + 1
and
n + 2 are our side lengths. adding 1 to n gives us the next integer. Adding 2 to n gives use the second consecutive integer to n
The perimeter is 12, so our equation is..
n + (n + 1) + (n + 2) = 12
Now combine like terms and solve..
n + n + 1 + n + 2 = 12
3n + 3 = 12
3n = 9 (subtract 3 from both is sides)
n = 3 (divide by 3 on both sides)
Since n = 3,
n + 1 = 4 and
n + 2 = 5
So the sides are 3, 4, and 5
4=x/3-5
4=x/-2
x=-8
so -8 it is
