Answer:
here for points thank you helped it helped
Step-by-step explanation:
Answer:
scale factor = 3
Step-by-step explanation:
To determine the scale factor, calculate the ratio of the image x and y coordinates to the original x and y coordinates, that is
scale factor = 
= 
= 3
Answer:
B.25
Explanation:
The figures are similar. This means that corresponding sides have the same ratio.
This helps us set up a proportion.
We know that ML corresponds with DC, which gives us the ratio
8/40
EF will correspond with NH; this gives us the ratio
5/x
The proportion is then
8/40 = 5/x
Cross multiplying, we have
8(x) = 40(5)
8x = 200
Divide both sides by 8:
8x/8 = 200/8
x = 25
In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
441 is odd, so we can't divide it by 2.
Since the sum of its digits is 
, which is divisible by 3, we can divide 441 by 3, and we have
Which is still divisible by 3, because 
. We have
49 is not divisible by 3 anymore, nor by 5 (it doesn't end with 0 or 5).
It is divisible by 7 though, we have
and finally,
So, the factorization of 441 is
