Which number line shows the solutions of the inequality 2|x-1|+4< 6

0 < x < 2

The number line would have an open circle on the point 0 and another open circle on the point 2 with a bold line in between.

Step-by-step explanation:

2 |x - 1| + 4 < 6

2 |x - 1| < 2

|x - 1| < 1

x - 1 < 1   so x < 2

or

x - 1 > -1  so x  > 0

This question is actually interesting
To find the perimeter of this figure we have to find perimeter of both triangles and the add them

So, let’s start from big triangle
It has two adjacents which are 12 cm (18-6) and and 13 cm
The perimeter of right-angled triangle
P= a+b+c
C is hypotenuse which we can find using Pythagorean theorem which is
C^2=A^2+B^2
12^2+13^2
C= root of 313
C approximately 17.7
P1=32.7

Now let’s find perimeter for small triangle
We re doing the same thing as we did before
Perimeter for small triangle is 6+8+10
P= 24
24+ 32.7=56.7
56.7