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Ksivusya [100]
3 years ago
7

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

Mathematics
2 answers:
vodomira [7]3 years ago
5 0
If two tangents intersect at a point outsides the circle, then its angle measure is equal to one-half the difference of its intercepted arcs.

A circle has 360 degrees, so to find the measure of the major arc, subtract 110 from 360 to get 250.

ABC = 1/2(250 - 110)
ABC = 1/2(140)
ABC = 70

The measure of angle ABC is 70 degrees.

Hope this helps =)
NNADVOKAT [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that two tangents to a circle intersect at a point B outside the circle

A and C are points of contact.

By theorem on circles we have angle ABC is equal to 1/2 the difference of intercepted arcs.

Angle of minor arc =110 and hence major arc = 360-110 = 250

Difference = 250-110 =140

Measure of angle ABC 1/2 of 140 = 70 degrees.

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Answer:

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x = (21-4y)/3

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A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
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Answer:

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

<em>Find out the unit rate of a regular  tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{2.50}{3.2}=\$0.78\ per\ ounce

step 2

<em>Find out the unit rate of a travel size tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{1.00}{1.2}=\$0.83\ per\ ounce

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