Answer:
6.4 cm
Step-by-step explanation:
a²+b²=c²
c=hypotenuse
a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.
This means that the GCF of 6 and 8 is 2.
b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:
6 + 8 = 2 × (3 + 4).
14 = 14
well, Marcus and Ben are both 5 feet tall and a little bit more, Marcus is 19/24 more and Ben is 9/16 more, so the 5's in the fraction are the same, so which one is larger, 19/24 or 9/16?
we can simply put both fractions with the same denominator, by <u>multiplying one by the other's denominator</u>, so let's proceed,
There is no choice of integers
such that the left hand side is a rational number.
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
