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2 years ago

the clock shows kims party ended at 8;30 . if the party lasted 2 hours and 45 min at what time did the party start ?

Mathematics

1 answer:

stira [4]2 years ago

8 0

The party start at 5:45

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In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.

bezimeni [28]

Given:

In the circle, $m(\overarc{VUX})=152^\circ$ and $m(\angle MUV)=77^\circ$ .

To find:

The following measures:

(a) $m\angle VUX$

(b) $m\angle UXW$

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

$m(VUX)=2\times m\angle VWX$

$152^\circ=2\times m\angle VWX$

$\dfrac{152^\circ}{2}=m\angle VWX$

$76^\circ=m\angle VWX$

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

$m\angle VUX+m\angle VWX=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle VUX+76^\circ=180^\circ$

$m\angle VUX=180^\circ-76^\circ$

$m\angle VUX=104^\circ$

Now,

$m\angle UXW+m\angle UVW=180^\circ$ [Opposite angles of a cyclic quadrilateral]

$m\angle UXW+77^\circ =180^\circ$

$m\angle UXW=180^\circ-77^\circ$

$m\angle UXW=103^\circ$

Therefore, $m\angle VUX=104^\circ$ and $m\angle UXW=103^\circ$ .

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Ben wants to estimate the cost of dinner and a movie for himself and his friend. He knows the following information

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Answer:

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Step-by-step explanation:

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(16/18)
(24/27)

You just times 8 and 9 by the same number, like:
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(8•3/9•3)=(24/27)

You could do any number:
(8•100/9•100)=(800/900)

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Answer:

Step-by-step explanation: she only has 3 because of herself

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Answer:

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