Can somebody me this is my last one

The value of x is 13

Step-by-step explanation:

* Lets study the to circles

- The are congruent

- The length of chord TS equal to the length of chord UV

- The measure of the minor arc TS equal to the measure

 of minor arc UV

- The measure of the major arc TS equal to the measure

 of major arc UV

* We now that the measure of any circle = 360°

∴ The sum of the measure of the minor arc and the measure

  of the major arc equal to 360°

* In circle Q:

∵ The measure of the major arc UV is 22x - 13°

∵ The measure of the minor arc UV is 10x - 43° ⇒ circle R ≅ circle Q

∵ The sum of the measure of the two arcs = 360°

∴ 22x - 13 + 10x - 43 = 360 ⇒ add the like terms

∴ 32x - 56 = 360 ⇒ add 56 to both sides

∴ 32x = 416 ⇒ divide both sides by 32

∴ x = 13

* The value of x is 13

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be