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hammer [34]
3 years ago
10

What is the measure of arc qr?

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0

<u>Answer-</u>

<em>The measure of arc QR is </em><em>104°</em>

<u>Solution-</u>

The Central Angle Theorem-

It states that the measure of inscribed angle is always half the measure of the central angle.

Inscribed angle is the angle formed in the interior of a circle when two secant lines intersect on the circle.

A central angle is the angle that forms when two radii meet at the center of a circle.

Here,

∠QTR = Central angle

∠QSR = Inscribed angle = 52°

Applying the theorem,

m∠QTR = 2×m∠QSR = 2×52°=104°

ella [17]3 years ago
4 0
Angle QSR is an inscribed angle and is equal to half the intercepted arc.
So if angle QSR = 52 degrees then the arc measures 104 degrees.
Source: http://www.1728.org/circangl.htm
(Look at the first graphic).

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Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.
AVprozaik [17]

∠BDC and ∠AED are right angles, is  a piece of additional information is appropriate to prove △ CEA ~ △ CDB

Triangle AEC is shown. Line segment B, D is drawn near point C to form triangle BDC.

<h3> What are Similar triangles?</h3>

Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.

Image is attached below,
as shown in figure
∡ACE = ∡BCD ( common angle )
∡AED = ∡BDC ( since AE and BD are perpendicular to same line EC and make right angles as E and C)
∡EAC =- ∡DBC ( corresponding angles because AE and BD are parallel lines)

Thus, △CEA ~ △CDB , because of the two perpendiculars AE and BD.

Learn more about similar triangles here:
brainly.com/question/25882965

#SPJ1


3 0
1 year ago
A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
RoseWind [281]

Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).

The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

4 0
3 years ago
9 hundreds =equals <br><br> tens
Lelechka [254]
90 tens hopefully this helped
3 0
3 years ago
Read 2 more answers
I need help with this question someone
Masja [62]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If you have 100 entries out of 1200 what are your chances
swat32
100/1200= x/100
cross multiply

(1200 * x)= (100 * 100)

1200x= 10000
divide both sides by 1200

x= 8.333% winning chance


LOSING CHANCE
100% - 8.333%= 91.667%


RATIO OF WINNING TO LOSING
100 tickets= winning chance
1200 total - 100= 1100 losing chance

100:1100
simplify by 100

1:11 odds of winning to losing


ANSWER: The chance of winning is 8.333% and the chance of losing is 91.667% or 1:11.

Hope this helps! :)
4 0
3 years ago
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