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andreyandreev [35.5K]
3 years ago
12

The length of a rectangle is 2 cm more than 3 times its width. Find the length of the rectangle if the perimeter is 44 cm

Mathematics
1 answer:
Dovator [93]3 years ago
6 0
L = 3W + 2

P = 2W + 2L

44 = 2W + 2 * (3W + 2)

44 = 2W + 6W + 4

40 = 8W

W = 5

Substitute back into L equation;

L = 3 * 5 + 2

L = 17
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Answer:

Therefore

m Angle 1 = m Angle 2  = 31° ...Justified

Step-by-step explanation:

Given:

m angle 1 = ( 3x + 10 )°

m angle 2 = ( 5x - 4 )°

To Find:

m∠1 = ?

m∠2 = ?

Solution:

Vertical Angles:  

The angles opposite each other when two lines cross. They are always equal.

∴ m Angle 1 = m Angle 2

Substituting the given values we get

3x+10=5x-4\\\\2x=14\\\\x=\dfrac{14}{2}=7\\\therefore x =7

Substituting ' x ' in Angle 1 and Angle 2 we get

m Angle 1 = 3 × 7 + 10 = 31°

m Angle 2 = 5 × 7 - 4  = 31°

Therefore

m Angle 1 = m Angle 2  = 31° ...Justified

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