Answer:
we choose (3,4)
Step-by-step explanation:
Given the coordinates:
- A (5, 2)
- B (5, -2)
- C (2,1)
- L (-5, 6)
- M (-5, -6)
To find a distance between two points or the length of the segment, we use the following formula:
- Because A and B are located in the same line x =5
=> the lenght of AB = 
- Because A and B are located in the same line x =-5
=> the lenght LM = 
- Because ABC is similar to LMN
=> the ratio of LM : AB = 12:4 = 3:1
<=> the ratio LN : CA = 3:1
We need to find the lenght of CA
= 
=> the lenght of LN = 3CA = 3
Let (x, y) is the coordinate of N, we have:
The length of LN: 
= 
Let try all the possible answer;
(3,4) => 
True
So we choose (3,4)
Answer:
30
Step-by-step explanation:
PT = TQ
PT = 7x + 2
TQ = 9x - 6
7x + 2 = 9x - 6
9x - 6 = 7x + 2
9x - 7x = 2 + 6
2x = 8
x = 8 / 2
x = 4
Substitute x = 4 in PT,
PT = 7x + 2
= 7 ( 4 ) + 2
= 28 + 2
PT = 30
Answer:
Scale factor is the ratio of any two corresponding lengths in two similar geometric figures
Length of sign ×scale factor=length of flyer
scale factor = 1:3
Step-by-step explanation:
when you have two figures which are geometric similar, the scale factor is the ratio of their corresponding side's lengths.
To find scale factor you identify the sides that are similar in the figures then get the ratio of their lengths.
Given the dimensions of sign as ;
width= 2 feet--------change to inches by multiplying by 12 (1 foot=12 inches)
width=2*12=24 inches
length= 2feet 6 inches
length= 24+6 =30 inches
Hence the sign has dimensions
width=24 in
length=30 in
Flyers dimensions
width=8 in
length=10 in
Finding Scale factor
length of sign ×scale factor=length of flyer
30×scale factor=10
scale factor=10/30 =1/3 or 1:3
Answer:
{25/2,-25/2}
Step-by-step explanation:
Answer:
A: A square
Step-by-step explanation:
