In the diagram, L= N and would be the Reason for Statement 4? Explain with
Stem
As
WONOM
AR

Option (3)

Step-by-step explanation:

                   Statements                              Reasons

1). ∠L ≅ ∠N                                         1). Given

2). ∠LOM ≅ NMO                              2). Given

3). MO ≅ MO                                     3). Reflexive property of congruence

4). ΔLMO ≅ ΔNOM                           4). AAS postulate of congruence

Therefore, Option (3) will be the correct option.

yes

yes yes yes

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15