Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given:
, 
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e
and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1.
,
Given
2.
Vertical angles are congruent
3.
SAS
The video game is on 35% discount.
Step-by-step explanation:
Cost of video game = $50
Price on sale = $32.50
Amount of discount = Original price - price on sale

Percentage = 

The video game is on 35% discount.
Keywords: Percentage
Learn more about percentages at:
#LearnwithBrainly
Answer:
d
Step-by-step explanation:
The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is
=
=
( cross- multiply )
15x = 637.5 ( divide both sides by 15 )
x = 42.5 → d
The new balance on Jane Hilman's account is the answer when we add up all the previous balance, the credit, and the negative of the amount she withdrew. This gives us,
new balance = $1009.88 + $6.19 - $130
The numerical answer to the equation above is $886.07.
Remove the radical by raising each side to the index of the radical. a = √ 3 , − √ 3 a=3,-3 a ≈ 1.73205080 , − 1.73205080