Find the GCF of each pair of numbers.
1 answer:
<h3>Find the GCF of each pair of numbers.</h3>
Answer 9: 40 and 48 = (2³ x 5) and (2⁴ x 3) = 2³ = 8✔️
Answer 10: 30 and 45 = (2 x 3 x 5) and (3² x 5) = 3 x 5 = 15✔️
Answer 11: 10 and 45 = (2 x 5) and (3² x 5) = 5✔️
Answer 12: 25 and 90 = (5 x 5) and (2² x 3 x 5) = 5✔️
Answer 14: 28 and 70 = (2² x 7) and (2 x 5 x 7) = 2 x 7 = 14✔️
Answer 13: 21 and 40 = (3 x 7) and (2³ x 5) = 1✔️
Answer 15: 60 and 72 = (2² x 3 x 5) and (2³ x 3²) = 2² x 3 = 12✔️
Answer 16: 45 and 81 = (3² x 5) and (3⁴) = 3² = 9✔️
Answer 18: 55 and 77 = (5 x 11) and (7 x 11) = 11✔️
Answer 17: 28 and 32 = (2² x 7) and (2⁵) = 2² = 4✔️
Step-by-step explanation: First, find the prime factorizations of the two numbers. Then, find the common factors raised to the smallest exponent and multiply each other. If there are no common prime factors, the GCF is 1.
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Answer:
m∠ADC = 20°
Step-by-step explanation:
A circle B has points B, C and D on the circumference.
m∠ABC = 40° [Cntral angle]
Since measure of the central angle is double of the inscribed angle by the arc
m∠ABC = 2(m∠ADC)
Here ∠ABC = Central angle
and ∠ADC = Inscribed angle
40° = 2(m∠ADC)
m∠ADC =
= 20°
Therefore, measure of angle ADC is 20°.