Find the GCF of each pair of monomials. 30w, 70w
1 answer:
Answer:
The greatest common factor between 30 and 70 is 10
Step-by-step explanation:
first break down each number into its prime factorization in the case of 30 that would be 5,2,3. The prime factorization for 70 is 7,5,2 The prime factors that 70 and 30 have in common are 5 & 2. multiply 5 * 2 to get 10. 10 is the greatest common factor of 70 and 30
You might be interested in
Distance between the top and bottom of the bridge is 76 feet
Solution:
The image of the question is attached below.
Ratio of the triangles is 1 : 1.
AC = 2x + 10 and EC = 4x − 18.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
Therefore sides AC and EC are corresponding to each other.
AC : EC = 1 : 1
Subtract 10 from both sides of the equation.
Subtract 4x from both sides of the equation.
Divide by -2 on both sides, we get
⇒ x = 14
Distance between the top and bottom of the bridge is EA.
EA = AC + EC
= 2x + 10 + 4x - 18
= 6x - 8
= 6(14) - 8
= 84 - 8
EA = 76 feet
Distance between the top and bottom of the bridge is 76 feet.
