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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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:
sin(Q)/q = sin(R)/r
sin(Q)/PR = sin(R)/PQ
sin(Q)/13 = sin(85)/19
sin(Q) = 13*sin(85)/19
sin(Q) = 0.6816068987
Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)
Q = 42.9693397461 ... or ... Q = 137.0306602539
These values are approximate.
----------------
Now if Q = 42.9693397461 approximately, then angle P is
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A negative angle is not possible, so we'll ignore Q = 137.0306602539
----------------
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Answers
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Answers
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Answers
Answer:
Tuvieron que comprar 3.73 kg.
Step-by-step explanation:
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x=(8.3*0.45)/1=3.73 kg
De acuerdo a esto, la respuesta es que tuvieron que comprar 3.73 kg.
I WILL GIVE BRAINLIEST PLEASE HELP
1. Melanie invested $12,200 at 4.8% interest compounded semiannually, and she wants to know how much her investment will be worth in 8 years. (5 points: Part I – 1 point; Part II – 2 points; Part III – 1 point; Part IV – 1 point)
Part I: What is the periodic interest rate of Melanie's investment?
Part II: How many compounding periods does Melanie's investment offer in a year? How about in 8 years?
Part III: What expression can Melanie write to figure out how much her investment will be worth in 8 years?
Part IV: How much will Melanie's investment be worth in 8 years?
Answers
Answer:
Part I
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