Answer:
The answer in simplest term is 35.33333334.
Step-by-step explanation:
First, we need to divide 71 and 6.
71/6 = 23.66666667.
Now we need to divide 35 and 6.
35/6 = 11.66666667.
Now we need to add the two quotients.
23.66666667 + 11.66666667 = 35.33333334.
And that is the final answer.
I hope this helps!
Answer
500
Step-by-step explanation:
If the biologist tags 25 birds and lets them go, and then catches 100 and 5 of them have the tags, that would mean 20 of them are still out in the wild.
The way to solve this is if you put it into a proportion.
5/100 = 25/x
5x = (100)(25)
5x = 2500
5x/5 = 2500/5
x = 500
5/100=25/500
Answer: 24
Step-by-step explanation:
You need to find the common denominator. In the case 24 is the least one because when you multiply 3 by 8, you finally have a common denominator for all three.
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Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m = (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
Answer:
ABCD and EFGH
ABCD and PQRS (or EFGH and PQRS)
Dilate by a scale factor of 3
Step-by-step explanation:
Congruent means they have the same shape and size.
Similar means they have the same shape, but not necessarily the same size.
The orientation (rotation angle) or position do not matter.
EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.
PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.
Also, PQRS is similar to EFGH, but not congruent.
To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.
