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AlexFokin [52]
3 years ago
10

∠ABC is formed by two tangents intersecting outside of a circle. If minor arc AC = 110°, what is the measure of ∠ABC?

Mathematics
2 answers:
tatyana61 [14]3 years ago
6 0
The answer to this problem is 70. Hope I helped :)

Mariulka [41]3 years ago
5 0

Answer:

∠ABC = 70°

Step-by-step explanation:

As shown in the figure attached AB and BC are two tangents drawn on a circle touching at A and C.

Measure of minor arc = 110°

And we have to find the measurement of ∠ABC.

Since measure of minor arc AC = 110°

and m(minor arc AC) + m(major arc AC) = 360°

110° + major arc AC = 360°

major arc AC = 360 - 110 = 250°

and angle formed outside the circle by two tangents formed at B = 1/2(difference of intercepted arcs)

=\frac{1}{2}(major arc - minor arc)=\frac{1}{2}(250-110)=\frac{1}{2}(140)=70

Therefore answer is ∠ABC = 70°

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Answer:

CV=\frac{0.1252}{1.57}=0.07975

CV=\frac{0.1317}{1.72}=0.07657

The relative variability is almost equal in both samples a slight greater variability can be noticed in the first sample.

Step-by-step explanation:

The coefficient of variation of a sample is defined as the ratio between the mean standard deviation and the sample mean. And it represents the percentage relation of the variation of the data with respect to the average.

CV=\frac{S}{\bar X}

In the case of the first sample you have:

CV=\frac{0.1252}{1.57}=0.07975

In the case of the second sample you have:

CV=\frac{0.1317}{1.72}=0.07657

The relative variability is almost equal in both samples a slight greater variability can be noticed in the first sample.

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3 years ago
I need help and i need it fast TIME DUE 4 MIN
Phoenix [80]

Answer:

18

Step-by-step explanation:

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8 0
3 years ago
I need to solve for x, help please.
BaLLatris [955]

Answer:

x = 52   i hope this helps!   :)

Step-by-step explanation:

so first you gotta realize that every triangle has an interior angle measurement sum of 180 degrees

so we are given 3 angles   74 degrees  x + 2  and x

we now are going to put this into an equation   74 + x + 2 + x = 180

now lets combine like terms to get   76 + 2x = 180

then we are going to subtract the 76 from both sides   2x = 104

now lets divide both sides by 2   x = 52

so x = 52

we can plug in the value of x into both of the other equations to find the angle measurement

52 degrees

52 + 2 = 54 degrees

and then we have 74 degrees

add the 52, 54, and the 74 to make sure it is equal to 180 degrees

106 + 74 = 180

so yes, x does indeed equal 52 degrees

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