The missing statement and reasons are;
<u><em>Statement 5; 12x + 20 = 11x + 23
</em></u>
<u><em>
Reason 2; Vertically opposite angles are equal
</em></u>
<u><em>
Reason 4; Transitive property of equality.
</em></u>
<u><em>
Reason 6; Subtraction Property of Equality.</em></u>
We are given that;
∠BDA ≅ ∠A
We want to prove that; x = 3
Statement 1; ∠BDA ≅ ∠A
Reason; It is Given
Statement 2; ∠BDA ≅ ∠CDE; The statement means they are congruent and equal.
Reason; Vertically opposite angles are equal
Statement 3; ∠CDE ≅ ∠A; This means ∠CDA is congruent to ∠A.
Reason; Transitive property of congruence.
Statement 4; m∠CDE = m∠A. We saw that ∠BDA ≅ ∠A and ∠BDA ≅ ∠CDE. Thus, by transitive property of equality, we can say that; m∠CDE = m∠A.
Reason; Transitive property of equality.
Statement 5; 12x + 20 = 11x + 23
Reason is; Substitution property of equality
Statement 6; 12x = 11x + 3; In statement 5 above, what was done to get this statement 6 was to subtract 20 from both sides. This is known as subtraction property of equality.
Reason; Subtraction Property of Equality.
Read more at; brainly.com/question/25043995
Answer:
(-12 , 2)
Step-by-step explanation:
<u>GIVEN :-</u>
- Co-ordinates of one endpoint = (-4 , -10)
- Co-ordinates of the midpoint = (-8 , -4)
<u>TO FIND :-</u>
- Co-ordinates of another endpoint.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
<em><u>Section Formula :-</u></em>
Let AB be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

<u>PROCEDURE :-</u>
Let the co-ordinates of another endpoint be (x , y)
So ,

First , lets solve for x.



Now , lets solve for y.



∴ The co-ordinates of another endpoint = (-12 , 2)
Answer:
x=15, y=19
Step-by-step explanation:
What is the equation of the line that best fits the given data? A graph has points (1, 7), (1, 6), (2, 5), (2.5, 5), (3, 3), (4,
Mice21 [21]
answer is d
Step-by-step explanation:
hope it is helpful