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
2x-10=44+8x
subtract 2x from each side
8x-2x=6x
now we have -10=44+6x
subtract 44 from both sides
-10-44=-54
now we have -54=6x
divide both sides by 6
-54/6=-9
so x=-9
Lets just say the number is equal to x.
-1(2x+3)=2*(-4x-3)
Distribute on both sides
-2x-3=-8x-6
Add 3 to both sides
-2x=-8x-6
Add 8x to boths sides
6x=-6
Divide Both Sides by -1
x=-1
The numbers is -1.
Considering the sequences given, the first number that appears in both sequences is given by: 45.
<h3>What numbers appear in the first sequence?</h3>
The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
<h3>What numbers appear in the second sequence?</h3>
The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
More can be learned about sequences at brainly.com/question/6561461
#SPJ1
Answer:
nope. sorry man the answer for 864 - 45 = 819
Step-by-step explanation:
