Solve. x + 9 = –15 x = [1] help please
2 answers:
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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
Answer:
a)
b)
Step-by-step explanation:
a)
1. Distribute the second power (2) outside the first pair of parenthesis:
=
2. Distribute the third power (3) outside the second pair of parenthesis:
=
3. Combine like terms:
--------------------------------------------
b)
1. Factor the number 6 (= 2 · 3):
2. Cancel the common factor (2):
3. Cancel out in the numerator an denominator:
hope this helps!