Answer:
A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3
35.5 + 10.7 + 10.3 = 56.5
B. 21÷2 = 10.5
56.5 ÷ 10.5 = 5.380952381
5 pictures frames
The value of the scale factor k, is 1.5
<h3>
Perimeter</h3>
The perimeter of a shape is the sum of the side lengths of the shape
<h3>
Dimensions </h3>
The dimensions of the triangle MNO are given as:
![MN = 5](https://tex.z-dn.net/?f=MN%20%3D%205)
![NO = 4](https://tex.z-dn.net/?f=NO%20%3D%204)
![OM = 2.5](https://tex.z-dn.net/?f=OM%20%3D%202.5)
Calculate the perimeter of the triangle as follows:
![MNO=5 + 4 +2.5](https://tex.z-dn.net/?f=MNO%3D5%20%2B%204%20%2B2.5)
![MNO=11.5](https://tex.z-dn.net/?f=MNO%3D11.5)
Divide 17.25 by 11.5 to calculate the scale factor (k)
![k = \frac{17.25}{11.5}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B17.25%7D%7B11.5%7D)
![k = 1.5](https://tex.z-dn.net/?f=k%20%3D%201.5)
Hence, the scale factor is 1.5
Read more about scale factors at:
brainly.com/question/25657743
Answer:
see explanation
Step-by-step explanation:
The denominators of the 2 fractions are the same, thus to compare the fractions compare the values on the numerators.
2 is less than 3, hence
< ![\frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D)
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines have equal slopes.
The product of perpendicular slopes = - 1
Calculate the slopes of u and v using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (- 51, 65) and (x₂, y₂ ) = (- 46, 96)
m =
= ![\frac{31}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B31%7D%7B5%7D)
Repeat with (x₁, y₁ ) = (- 37, 85) and (x₂, y₂ ) = (- 6, 80)
m =
= - ![\frac{5}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B31%7D)
Since
× -
= - 1
Then the lines are Perpendicular