1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
5

The circle shown below has AB and BC as its tangents: AB and BC are two tangents to a circle which intersect outside the circle

at a point B. If the measure of arc AC is 130°, what is the measure of angle ABC? (1 point) 55° 50° 60° 65°

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
3 0
We are given with
arc AC = 130
The measure of the arc on the other side of the circle is
360 - 130 = 230
Therefore, according to the theorem on circles, the measure of angle ABC is 
(1/2) ( 230 - 130) = 50

Anit [1.1K]3 years ago
3 0

he picture in the attached figure


we know that

The measure of the external angle is the semidifference of the arcs that it covers.

so

the arcs that it covers are

arc AC and arc ABC


We have

AB and BC as its tangents

the measure of arc AC is 130°

In addition, a circle has 360 degrees by definition

so

360°= arc AC + arc ABC

360°= 130° + arc ABC

arc ABC= 360°- 130°= 230°

Then

Angle ABC = \frac{1}{2}*(230-130)

Angle ABC= 50°


therefore


the answer is

Angle ABC= 50°

You might be interested in
Compute the number of vinyl tiles, measuring 28 inches on each side, needed to tile a kitchen measuring 102 ft. by 18 ft.
ratelena [41]

Answer:

338 tiles

Step-by-step explanation:

First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.

102 * 12 = 1224     18 * 12 = 216


Now multiply these answers together.

1224 * 216 = 264,384 square inches


Now find the area of the vinyl tiles.

28 * 28 = 784 square inches


Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.

264,384 / 784 = 337.224


Since you can't buy part of a tile, round your answer up.

338 tiles



6 0
3 years ago
Read 2 more answers
Lines k and n intersect on the y-axis
avanturin [10]

a) The equation of line k is:

y = -\frac{202}{167}x + \frac{598}{167}

b) The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

The equation of a line, in <u>slope-intercept formula</u>, is given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • Line k intersects line m with an angle of 109º, thus:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

In which m_1 and m_2 are the slopes of <u>k and m.</u>

  • Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}

  • The tangent of 109 degrees is \tan{109^{\circ}} = -\frac{29}{10}
  • Thus, the slope of line m is found solving the following equation:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}

m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2

m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}

\frac{167m_2}{80} = \frac{-202}{80}

m_2 = -\frac{202}{167}

Thus:

y = -\frac{202}{167}x + b

It goes through point (-2,6), that is, when x = -2, y = 6, and this is used to find b.

y = -\frac{202}{167}x + b

6 = -\frac{202}{167}(-2) + b

b = 6 - \frac{404}{167}

b = \frac{6(167)-404}{167}

b = \frac{598}{167}

Thus. the equation of line k, in slope-intercept formula, is:

y = -\frac{202}{167}x + \frac{598}{167}

Item b:

  • Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

-\frac{202}{167}m = -1

m = \frac{167}{202}

Then

y = \frac{167}{202}x + b

Also goes through point (-2,6), thus:

6 = \frac{167}{202}(-2) + b

b = \frac{(2)167 + 202(6)}{202}

b = \frac{1546}{202}

The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

A similar problem is given at brainly.com/question/16302622

7 0
2 years ago
The domain of y = cot x is all real numbers such that _______.
Artyom0805 [142]

Answer:

Step-by-step explanation:

x≠ n*π, where n is an integer

because x/π can not be an integer

4 0
3 years ago
ASAP 6(a + 25 + 3c) =
Blizzard [7]

Answer:

6a+150+18c

Step-by-step explanation:

6(a+25+3c)

6a +6 x 25 +6 x 3c

6a + 150+6 x 3c

6a +150 +18c

7 0
3 years ago
Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a w
pochemuha

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

\text{test statistic t} = \frac{slope}{standard \ error}

                      =\frac{0.789}{0.237}\\\\=3.329

3 0
3 years ago
Other questions:
  • Solve for x: |2x + 6| − 4 = 20
    14·1 answer
  • Does −4x−7+10x=−7+6x have one solution, infinite solutions, or no solution
    7·2 answers
  • On a trip, a family drove an average of 250 mi each day. If the family drove a total of 3,000 mi on their trip, how many days we
    10·2 answers
  • What is the value of the expression below when simplified?<br><br> 4[5(3 − 1)]2 − 23
    13·2 answers
  • Add five thousand, three hundred and twelve thousandths to the product of one and thirty six hundredths and 15
    5·1 answer
  • Rewrite each of the following as an expression of x which does not involve any logs. 100^log10(x)
    5·1 answer
  • The correct simplified form of 2y5+4y5−3y3−5y3
    8·2 answers
  • Is -32 greater than or less than -97?<br><br> need answer fast pls
    14·1 answer
  • PLEASEEE HELPPP!!!<br> what is the reason for congruence
    9·1 answer
  • Jameis signed up for a cell phone plan that charges an initial monthly fee and a set rate per minute he talks on the phone each
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!