Answer:
For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).
Step-by-step explanation:
They are equivalent (Except for the numerator)
The similarity ratio of ΔABC to ΔDEF = 2 : 1.
Solution:
The image attached below.
Given ΔABC to ΔDEF are similar.
To find the ratio of similarity triangle ABC and triangle DEF.
In ΔABC: AC = 4 and CB = 5
In ΔDEF: DF = 2, EF = ?
Let us first find the length of EF.
We know that, If two triangles are similar, then the corresponding sides are proportional.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Ratio of ΔABC to ΔDEF = 
Similarly, ratio of ΔABC to ΔDEF = 
Hence, the similarity ratio of ΔABC to ΔDEF = 2 : 1.
the value of x is 20
Step-by-step explanation:
hope it helps you!
Answer:
Perimeter of PQR = 37 units (Approx.)
Step-by-step explanation:
Using graph;
Coordinate of P = (-2 , -4)
Coordinate of Q = (16 , -4)
Coordinate of R = (7 , -7)
Find:
Perimeter of PQR
Computation:
Distance between two point = √(x1 - x2)² + (y1 - y2)²
Distance between PQ = √(-2 - 16)² + (-4 - 4)²
Distance between PQ = 18 unit
Distance between QR = √(16 - 7)² + (-4 + 7)²
Distance between QR = √81 + 9
Distance between QR = 9.48 unit (Approx.)
Distance between RP = √(7 + 2)² + (-7 + 4)²
Distance between RP = √81 + 9
Distance between RP = 9.48 unit (Approx.)
Perimeter of PQR = PQ + QR + RP
Perimeter of PQR = 18 + 9.48 + 9.48
Perimeter of PQR = 36.96
Perimeter of PQR = 37 units (Approx.)