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Q3.

Expert-verified
Geometry
Found in: Page 243
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

ABCD is a parallelogram. Find the value of each ratio.

mC:mD

The simplest form of mC:mD=1:5

See the step by step solution

Step by Step Solution

Step 1. Given information.

According to the given figure is,

In parallelogram,

mC=30mD=150

Write the ratio,

mC:mD=30:150mCmD=30150

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

30=2×3×5150=2×3×5×5

Here GCF is.2×3×5=30

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by30 v.

30150=30/30150/30=15

Therefore, the simplest form of the given ratio ismC:mD=1:5.

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