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2 years ago

In the rhombus m<2=75 Find m<3

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

8 0

m < 1 = m < 2 = 75 degrees ( alternate angles).

Also the triangle is isosceles beause the figure is a rhombus so:-

Angle adjacent to < 2 = 75 degrees

and m < 3 = 180 - 2(75) = 180 - 150 = 30 degrees (answer)

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Step-by-step explanation:

To solve this problem we need to model an equation to represent the situation first.

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The equivalent scales are:

3 cm to 15 km is equivalent to 1 cm to 5 km ⇒ answer A

5 mm to 2.5 km is equivalent to 1 cm to 5 km ⇒ answer D

1 mm to 500 m is equivalent to 1 cm to 5 km ⇒ answer E

Step-by-step explanation:

To solve this problem do that

1. The given scale is 1 cm represents 5 km, then all given answer must

be change to cm and km

2. Find the equivalent scales to the given scale

∵ 3 cm represents 15 km

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∴ 1 cm represents 5 km

3 cm to 15 km is equivalent to 1 cm to 5 km

∵ 1 mm represents 150 km

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∵ 1 cm = 10 mm

∴ 1 mm = $\frac{1}{10}$ cm = 0.1 cm

∴ 0.1 cm represents 150 km

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∴ 1 cm represents 1500 km

1 mm to 150 km is not equivalent to 1 cm to 5 km

∵ 5 cm represents 1 km

- Divide both my 5

∴ 1 cm represents 0.2 km

5 cm to 1 km is not equivalent to 1 cm to 5 km

∵ 5 mm represents 2.5 km

- Change mm to cm

∵ 1 cm = 10 mm

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∴ 0.5 cm represents 2.5 km

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∵ 1 cm = 10 mm

∴ 1 mm = $\frac{1}{10}$ cm = 0.1 cm

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∴ 1 m = $\frac{1}{1000}$ = 0.001 km

∴ 500 m = $\frac{500}{1000}$ = 0.5 km

∴ 0.1 cm represents 0.5 km

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∴ 1 cm represents 5 km

1 mm to 500 m is equivalent to 1 cm to 5 km

Learn more:

You can learn more about the equivalent quantities in brainly.com/question/120752

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