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:
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Step-by-step explanation:
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Answers
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Answers
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Answers
Answer:
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What do the a b and c stand for in the pythagorean theorem?
Answers
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what is the total number of outcomes from selecting one entree from a choice of nine entrees and one dessert from a choice of three desserts?
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please help me out, thank youuu !
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if y° and 75° are the opposite angles of rhombus, then y°=.....
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Answers
Answer:
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I WILL GIVE BRAINLIEST PLEASE HELP
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Answers
Answer:
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Answers
Answer:
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That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
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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:
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Answers
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Answers
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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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Antonio writes the equation 80.4 ÷ d = 0.0804.
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Answers
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B
Step-by-step explanation:
Because
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C)
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HELP Use either law of sines or law of cosine. Need help on this problem! show work please!
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
P = 180-Q-R
P = 180-42.9693397461-85
P = 52.0306602539
Similarly, if Q = 137.0306602539 approximately, then,
P = 180-Q-R
P = 180-137.0306602539-85
P = -42.0306602539
A negative angle is not possible, so we'll ignore Q = 137.0306602539
----------------
The only possible value of angle P is approximately P = 52.0306602539
Let's apply the law of sines again to find side p, aka segment QR
sin(P)/p = sin(R)/r
sin(P)/QR = sin(R)/PQ
sin(52.0306602539)/x = sin(85)/19
19*sin(52.0306602539) = x*sin(85)
19*sin(52.0306602539)/sin(85) = x
x = 15.035677095729
This value is approximate.
Round this value however you need to.
answer this and don’t answer if you are not smart
Answers
Answer:
60 degrees
Step-by-step explanation:
This is a complementary angle, so the equation to use is 30+x=90.
To find out what x is, we have to use the Subtraction Property of Equality.
30+x=90
-30 -30
x=60