Onsider the enlargement of the triangle with a scale factor of 8 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Side A corresponds with a side with length of 2 centimeters. Side A = 2(8) = 16 cm. What is the length of side B?

Incomplete question

Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining  this topic which is SIMILAR TRIANGLES.

When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.

Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.

The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.

Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.

These can be expressed mathematically as follows;

If A = 16, a = 2 and b = 10 then B would be calculated as follows;

A/a = B/b

16/2 = B/10

By cross multiplication, you now have

16 * 10 = 2 * B

160/2 = B

80 = B

Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

i'm sorry i don't know

step-by-step explanation: