Triangle ABC was dilated using the rule Y, 5/4. FCA is equal to eight what is C’A’ 10 units 12 and 16 units 20 units
1 answer:
Answer:
C'A' = 10units (A)
Question
A complete question related to this found at brainly(question ID 2475535) is stated below.
Triangle ABC was dilated using the rule Dy, 5/4
If CA = 8, what is C'A'?
10 units
12 units
16 units
20 units
Step-by-step explanation:
Given:
Scale factor = 5/4
CA = 8units
Find attached the diagram for the question.
This is a question on dilation. In dilation, figures have the same shapes but different sizes.
Y is the center of dilation
Lengths of ∆ABC: CB, AB, CA
Lengths of ∆A'B'C': C'B', A'B', C'A'
C'B' = scale factor × CB
A'B' = scale factor × AB
C'A' = scale factor × CA
C'A' = 5/4 × 8
C'A' = 40/4
C'A' = 10units (A)
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The numbers are 3 and 7
Step-by-step explanation:
Let the first number be x and the second number be y
Then according to given statement
One number added to three times another number is 24
x+3y=24 Eqn 1
Five times the first number added to three times to other number is 36
5x+3y=36 Eqn 2
Subtracting Equation 1 from equation 2
Dividing both sides by 4
Putting x=3 in equation 1
Dividing both sides by 3
Hence,
The numbers are 3 and 7
Keywords: Linear equations, Variables
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