Jerome wrote the following scenario to match the algebraic expression s 4 − 16: “16 fewer than four times the number of songs on
2 answers:
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Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.
Answer:
Step-by-step explanation:
The rule for the translation is given as
The coordinates of F are (2,2).
We substitute these coordinates into the translation rule to find the coordinates of F'.