in circle p, if mQR=110°, mRS=94°, And m<QRT=27° Find each measure. PLEASE HELP ME!!! HAVE TO TURN THIS IN ASAP
Answers
Step-by-step explanation:
what do you have to find
Measures of∠QTR, ∠RQS, m arcTS and m arcQT are 55°, 47°, 102° and 54° respectively.
What is angle?An angle is formed when two straight lines intersect at a point. The amount of "spread" between these two rays is called the "angle". It is represented by the symbol ∠. Angles are usually measured in degrees and radians. This is a measure of roundness or rotation.
Given,
In circle P,
m arcQR = 110°
m arcRS = 94°
∠QRT = 27°
Measure of arc is twice to the angle made by arc on boundary of the circle.
m arcQR = 2∠QTR
110° = 2∠QTR
∠QTR = 110/2
∠QTR = 55°
m arcRS = 2∠RQS
94° = 2∠RQS
∠RQS = 94°/2
∠RQS = 46°
m arcQT = 2∠QRT
m arcQT = 2(27°)
m arcQT = 54°
sum of all arcs made on a circle is 360°
m arcQT + m arcTS + m arcRS + m arcQR = 360°
54° + 94° + 110° + m arcTS = 360°
m arcTS = 360° - 258°
m arcTS = 102°
Hence, 55°, 47°, 102° and 54° are measures of∠QTR, ∠RQS, m arcTS and m arcQT respectively.
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Related Questions
a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator
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Answer:
$76.51
Step-by-step explanation:
The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.
The price after 7% sales tax has been added in is
(1.00 + 0.07)($71.50) = $76.51.
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given the coordinate vectors p=(4,3) and q=(-2,7),
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Complete question;
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
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V = two-thirds (27 pi)
V = four-thirds (27)
V = two-thirds (27)
V = four-third (27 pi)
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Answers
Answer:
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Step-by-step explanation:
x = cos 150°= -√3 /2
y = sin 150° = ½
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Just add the the two values that state the pounds if fruit used
Answer:
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Step-by-step explanation:
2 + (-2/3)² ÷ 1/3
2 + 4/9 ÷ 1/3
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Answers
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Greata had a price of cloth that is 9 yards long. She cuts it into prices that are each 1/3 yard long. How many prices of cloth does Greata have now?
Answers
Given:
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To find:
The number of pieces of cloths after cutting.
Solution:
Let n be the number of required pieces.
Length of each piece is [tex]\dfrac{1}{3}[/tex] yards. So, the length of n pieces is [tex]\dfrac{1}{3}n[/tex] yards.
The length of the whole cloth is 9 yards. So, [tex]\dfrac{1}{3}n[/tex] yards must be equal to 9 yards.
[tex]\dfrac{1}{3}n=9[/tex]
Multiply both sides by 3.
[tex]n=9\times 3[/tex]
[tex]n=27[/tex]
Therefore, the Greata have 27 pieces of cloths.
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Step-by-step explanation: