Answer:
The scale factor is 3
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z -----> the scale factor
x -----> area of polygon Q
y ----> area of polygon P
so
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![y=5\ units^2](https://tex.z-dn.net/?f=y%3D5%5C%20units%5E2)
<em>Find the area of polygon Q</em>
Divide the polygon Q into five squares
see the attached figure N 2
The area of polygon Q (area of the five squares) is
![x=5(3^2)=45\ units^2](https://tex.z-dn.net/?f=x%3D5%283%5E2%29%3D45%5C%20units%5E2)
<em>Find the scale factor</em>
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=45\ units^2](https://tex.z-dn.net/?f=x%3D45%5C%20units%5E2)
![y=5\ units^2](https://tex.z-dn.net/?f=y%3D5%5C%20units%5E2)
substitute
![z^{2}=\frac{45}{5}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7B45%7D%7B5%7D)
![z^{2}=9](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D9)
square root both sides
![z=3](https://tex.z-dn.net/?f=z%3D3)
therefore
The scale factor is 3
Answer:
Yes
Step-by-step explanation:
Two numbers have to be greater than the other one or it does not make a triangle.
5+2>4, 7>4 true
5+4>2, 9>2 true
4+2>5, 6>5 true
If this helps please mark as brainliest
Answer:
Domain : ( -3 , 4.5 )
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
4/5 is closer to 1
What this question is asking us is
A) From -40C to 5 0c How much did it rise
The formula for this would be
Risen Temperature - Initial Temperature
The risen temparauture is 5 so we plug the 5 in first then the 4 so it would look like
5-(-4)=9
And remeber when you have 2 negatives it becomes a positie, 5+4=9
The asnwer for A is 9 degress
B) The tempurater then fell by 7 degress from 5 so we just have to do
5 - 7
which is -2 Celcius