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11111nata11111 [884]
3 years ago
15

You have a dance class every three days. Today is Monday, and you have dance class. In how many more days will you have dance cl

ass on Monday again? Use the LCM to find your answer. Then check your answer using the Calendar show. And what day will you have dance class on Monday again?
Mathematics
2 answers:
Dafna11 [192]3 years ago
8 0

7 days in a week, 3 days a rotation.

multiples of 7: 7, 14, 21, 28

multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24


the LCM is 21, because it is the smallest multiple of both numbers. there will be 21 more days until you take dance class on Mondays

Oksanka [162]3 years ago
8 0

Six more days until its Monday next week

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You'll actually need to graph for the first segment
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The equation of the line is y(x)=-x

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(5,5)
y(x)=-x

Using the x co-ordinate
y(5)= -5
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Given:

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

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The following measures:

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(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

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

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

UVWX is a cyclic quadrilateral. So,

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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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