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
By solving a subtraction equation
Relatively prime means having no factors in common.
I will start by checking if they have the factor "3" in common: it's easy to check: the sum of its digit needs to be divisible by 3:
<span>a. 72 And 115
7+2=9
1+1+5=7
not true that both are divisible by 3
b. 120 And 835
1+2=3
8+3+5=16
</span>
<span><span>not true that both are divisible by 3
but, they're both divisible by 5! (0 or 5 at the end)
not relatively prime
</span> c. 201 And 735
2+1=3
7+3+5=15
both are divisible by 3!
d. 303 And 1041
3+3=6
1+4+1=6
both divisible by 3
the answer is a)
</span>
Answer:
(2,0)
Step-by-step explanation:
The current coordinate of M are (4,0). This means the side length of OM is 4. To scale down by a factor of 1/2, the side length would become 4*1/2 = 2.
This side is now 2 and would place the point M at (2,0).
