Given: LM congruent NO , and angle M congruent and O

Answer in See step by step

Step-by-step explanation:

Statements                            Reasons

1. LM≅NO                                                     1.Given

2.Angle M≅Angle O                                   2.Given

3.Angle LPM is congruent to Angle NPO    3. Vetical Angles Theorem

4.ΔMPL≅NPO                                               4. AAS

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right