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Arte-miy333 [17]
3 years ago
7

Which of the following numbers is divisible by both 3 and 9?

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0

Answer: the answer is A)


Step-by-step explanation:

it is a because 7,605 is the only number that when divided by 3 and or 9 doen't have a decimal as the answer


choli [55]3 years ago
5 0

Answer:

A. 7605

Step-by-step explanation:

If a number is divisible by 9, it is also divisible by 3.

A number is divisible by 9 if the sum of its digits equals 9 or an integral multiple of 9.

A. 7605

7 + 6 + 0 + 5 = 18 (an integral multiple of 9) ; divisible by 9.

B. 7690

7 + 6 + 9 + 0 = 22 ; not divisible by 9

C. 5390

5 + 3 + 9 + 0 = 17 ; not divisible by 9

B. 4524

4 + 5 + 2 + 4 = 15 ; not divisible by 9

The only number divisible by 3 and 9 is 7605.

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The parentheses mean to multiply, in this case, so -3 times -2 would equal 6.

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Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each ang
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The angle relationship and their reasons are:

  • m∠HED = m∠FEJ ---> Vertical angles theorem
  • m∠KFE = m∠DEH ---> Alternate interior angles theorem
  • m∠LFG = m∠DEH ---> Alternate exterior angles theorem
  • m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
  • m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
  • m∠LFG + m∠GFK = 180 ---> linear pair

The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:

∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are  equal based on the vertical angles theorem.

  • m∠HED = m∠FEJ ---> Vertical angles theorem

∠KFE and ∠FEJ are alternate interior angles, therefore, they are  equal based on the alternate interior angles theorem.

  • m∠KFE = m∠DEH ---> Alternate interior angles theorem

∠LFG and ∠FEJ are alternate exterior angles, therefore, they are  equal based on the alternate exterior angles theorem.

  • m∠LFG = m∠DEH ---> Alternate exterior angles theorem

∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.

  • m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem

∠DEJ and ∠EFL are corresponding angles, therefore, they are  equal based on the corresponding angles theorem.

  • m∠DEJ = m∠EFL ---> Corresponding interior angles theorem

∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.

  • m∠LFG + m∠GFK = 180 ---> linear pair

Learn more about angle relationship on:

brainly.com/question/12591450

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2 years ago
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