Please help me I need to turn this in ASAP!! 30pts

Step-by-step explanation:

MO bisects ∠LMN.

⇒ ∠LMO = ∠NMO

⇒ ∠LMN = 2 * ∠LMO

   6x - 28  = 2* (x +34)

  6x - 28 = 2*x + 2*34

 6x - 28  = 2x + 68

Add 28 to both sides

6x = 2x + 68 + 28

6x = 2x + 96

Subtract 2x from  both sides

6x - 2x = 96

  4x      = 96

Divide both sides by 4

x = 96/4

x = 24

∠LMO = x +  34 = 24 + 34 = 58

∠MNO = ∠LMO

∠MNO = 58°

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

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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