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MariettaO [177]
3 years ago
15

What is the value of angle k

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:∠k = 121°

Step-by-step

Exterior Angle Theorem:

The measure of an exterior angle is equal to the sum of the two remote interior angles.

Add 31° and 90° to get ∠K

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The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t
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Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

<em>In parallelograms, opposite sides are equal in length</em>

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

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∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = \sqrt{(leg1)^{2}+(leg2)^{2}}

∵ leg1 = 47 and leg2 = 22  

∴ h = \sqrt{(47)^{2}+(22)^{2}}

∴ h = \sqrt{2209+484}

∴ h = \sqrt{2693}

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

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