Dexter collected data from his classmates on whether they prefer hamburgers or hotdogs.
2 answers:
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Answer:
we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
Step-by-step explanation:
As 4 is the greatest common factor of the expression, so factor out common term 4:
i.e.
Thus, the first step is to find the greatest common factor (GCF)
Now, solving the remaining portion
as (2x+3) and (2x-3) are the factors of (4x²-9)
i.e. (4x²-9) = (2x+3) (2x-3)
Thus, the expression becomes
Therefore, we conclude that the first step is to find the greatest common factor (GCF).
Hence, option C is correct.
Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴
∵ DE : CD = 5 : 3
∴
∴ KD = 5/3 KC
∵ KE = KC + 8
∵
∴
∴
∴
∴
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17