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3 years ago

Complete the following proof. Given: m ∠XOY = m ∠WOV m YZ = m ZW Prove: m XZ = m ZV

Mathematics

2 answers:

horsena [70]3 years ago

4 0

Answer:

Step-by-step explanation:

m ∠XOY = m ∠WOV

so, m XY = m WV --- (i)

{ If angle subtended by two arcs at the center are equal, then length of arc are equal}

m YZ = m ZW ------- (ii) {given}

Add (i) and (ii)

XY + YZ = WV + ZW

XZ = ZV

Hence proved.

ryzh [129]3 years ago

3 0

Answer:

Given that m ∠XOY = m ∠WOV then m XY = m WV, because central angles are equal to arcs.

Given: m YZ = m ZW

The addition of arcs XY and YZ make arc XZ, that is: m XY + m YZ = m XZ

The addition of arcs ZW and WV make arc XZ, that is: m WV + m ZW = m ZV

Then, m XZ = m ZV

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Answer:

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$0.45\pm 1.96(\sqrt{\dfrac{0.45(1-0.45)}{120}}) = 0.45\pm 0.089\\\\=(0.361,0.539)$

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