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
∴ ![\frac{KD}{KC}=\frac{DE}{CD}=\frac{KE}{KD}](https://tex.z-dn.net/?f=%5Cfrac%7BKD%7D%7BKC%7D%3D%5Cfrac%7BDE%7D%7BCD%7D%3D%5Cfrac%7BKE%7D%7BKD%7D)
∵ DE : CD = 5 : 3
∴ ![\frac{KD}{KC}=\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BKD%7D%7BKC%7D%3D%5Cfrac%7B5%7D%7B3%7D)
∴ KD = 5/3 KC
∵ KE = KC + 8
∵ ![\frac{KE}{KD}=\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BKE%7D%7BKD%7D%3D%5Cfrac%7B5%7D%7B3%7D)
∴ ![\frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BKC%2B8%7D%7B%5Cfrac%7B5%7D%7B3%7DKC%20%7D%3D%5Cfrac%7B5%7D%7B3%7D)
∴ ![KC + 8 = \frac{25}{9}KC](https://tex.z-dn.net/?f=KC%20%2B%208%20%3D%20%5Cfrac%7B25%7D%7B9%7DKC)
∴ ![\frac{25}{9}KC - KC=8](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B9%7DKC%20-%20KC%3D8)
∴ ![\frac{16}{9}KC=8](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B9%7DKC%3D8)
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17
Answer:
6460 pounds approx.
Step-by-step explanation:
Depreciation = P( 1 - r/100)^n [ n = time period, P= Principal and r= rate}
= 10,250(1-5/100)^9
= Approx. 6460 pounds
B.30
cause 60 is 30 halted so yeah
The order from least to greatest is:
E, D, A, B, C