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Neko [114]
3 years ago
7

PLEASE PLEASE PLEASE HELP ME

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

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}

∵ DE : CD = 5 : 3

∴ \frac{KD}{KC}=\frac{5}{3}

∴ KD = 5/3 KC

∵ KE = KC + 8

∵ \frac{KE}{KD}=\frac{5}{3}

∴ \frac{KC+8}{\frac{5}{3}KC }=\frac{5}{3}

∴ KC + 8 = \frac{25}{9}KC

∴ \frac{25}{9}KC - KC=8

∴ \frac{16}{9}KC=8

∴ KC = (8 × 9) ÷ 16 = 4.5

∴ KE = 8 + 4.5 = 12.5

∴ CE = 12.5 + 4.5 = 17

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Let's look over the meaning of each option:


Theocracy: Theo- means that it is relating to religion. For example, Theology is the study of religion. This is a system where religious leaders control the country, but it is NOT an economic system.

Monarchy: Monarchy is when there is a king, queen, emperor, etc. It is not an economic system either.

Fundamentalism: A political system that strictly abides by a set of fundamentals. Someone who wants a constitution to be the highest form of law is a fundamentalist. However, this is also not an economic system.

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3 years ago
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artcher [175]

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