In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
(a) m ZVUX =
(b) m ZUXW =
Answers
Given:
In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].
To find:
The following measures:
(a) [tex]m\angle VUX[/tex]
(b) [tex]m\angle UXW[/tex]
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
[tex]m(VUX)=2\times m\angle VWX[/tex]
[tex]152^\circ=2\times m\angle VWX[/tex]
[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]
[tex]76^\circ=m\angle VWX[/tex]
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[tex]m\angle VUX+m\angle VWX=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle VUX+76^\circ=180^\circ[/tex]
[tex]m\angle VUX=180^\circ-76^\circ[/tex]
[tex]m\angle VUX=104^\circ[/tex]
Now,
[tex]m\angle UXW+m\angle UVW=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle UXW+77^\circ =180^\circ[/tex]
[tex]m\angle UXW=180^\circ-77^\circ[/tex]
[tex]m\angle UXW=103^\circ[/tex]
Therefore, [tex]m\angle VUX=104^\circ[/tex] and [tex]m\angle UXW=103^\circ[/tex] .
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Antonio writes the equation 80.4 ÷ d = 0.0804.
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Answers
Answer:
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Step-by-step explanation:
Because
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What is tree diagram ?A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.
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Answers
Answer: x = 15.035677095729 approximately
Round this however you need to.
=================================================
Explanation:
I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.
If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:
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----------------
Now if Q = 42.9693397461 approximately, then angle P is
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----------------
The only possible value of angle P is approximately P = 52.0306602539
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Round this value however you need to.
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Answers
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Step-by-step explanation:
Refer to attachment.
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First solved for x, then for y [tex].[/tex]
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Answers
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Answers
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Step-by-step explanation:
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Answers
Answer:
Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.
Step-by-step explanation:
Para llenar una piñata con dulces se necesitan 8.3 libras de dulces ¿cuantos kilogramos se tuvieron que comprar?
Answers
Answer:
Tuvieron que comprar 3.73 kg.
Step-by-step explanation:
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Answers
Answer:
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Answers
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