Can someone write the process and solution please?

A

Step-by-step explanation:

We can get this by simplifying the inequalities

3(x-4) ≤ 18

3x - 12 ≤ 18

3x ≤ 18 + 12

3x ≤ 30

x ≤ 30/3

x ≤ 10

Secondly;

2(x-1) ≥ 6

2x - 2 ≥ 6

2x ≥ 6 + 2

2x ≥ 8

x ≥ 4

So the possible answer that fits both cases is 9

12 won’t work as it is not less than 10; we need an answer that is less than 10 to satisfy the first inequality

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus