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
lawyer [7]
3 years ago
12

In triangle ABC, the angles, angle A, angle B, angle C form an arithmetic sequence. If angle A = 23 degrees, then what is angle

C, in degrees?
Mathematics
2 answers:
ozzi3 years ago
8 0

Answer:

97

Step-by-step explanation:

Let $d$ be the difference between $\angle B$ and $\angle A,$ which is also the difference between $\angle C$ and $\angle B.$ Then $\angle A = \angle B - d$ and $\angle C = \angle B + d.$ The angles of a triangle always add up to $180^\circ,$ so

\[(\angle B - d) + \angle B + (\angle B + d) = 180^\circ.\]Then $3 \angle B = 180^\circ,$ so $\angle B = 60^\circ.$

Since $\angle A = 23^\circ,$ $d = \angle B - \angle A = 60^\circ - 23^\circ = 37^\circ.$ Therefore, $\angle C = \angle B + d = 60^\circ + 37^\circ = \boxed{97^\circ}.$

Ilya [14]3 years ago
7 0

Angle C is 106 degrees.

You might be interested in
Worth 10 points, please help.:):):)
beks73 [17]
 < is the answer because the bigger number the sum is going to be bigger than the average
8 0
3 years ago
Read 2 more answers
HELP<br><br>Fill in the boxes with fractions are mixed numbers express each answer in simplest form​
Arisa [49]

Answer:

first empty box is 3 and 3/8 i think and second empty box is 4 1/2 correct me if im wrong tho :)

Step-by-step explanation:

6 0
3 years ago
a musician's first album sells 234,499 copies the first week it was released. during the second week, another 432,112 albums wer
iren [92.7K]
432112-234499

insta : imrajsingh

5 0
3 years ago
#7-9 please help with an explanation,, will mark brainliest
Mandarinka [93]

Answers:

<h2>7. 12</h2><h2>8. -√18</h2><h2>9. √220</h2>

Step-by-step explanation:

To find out which is greater, we must eliminate the radical symbol.

#7

\sqrt{88} = 9.38083151965

9.4 < 12

#8

-\sqrt{18} = -4.24264068712

-4.2 > -6

#9

\sqrt{220} = 14.8323969742

14.5 < 14.8

I'm always happy to help :)

8 0
3 years ago
Help Please! I'll rate you the best!
denis23 [38]

Answer: 96 cubes could fit

Step-by-step explanation:

4x4x3=48

48x2=96

3 0
3 years ago
Other questions:
  • Help please! asap and thanks
    11·1 answer
  • h/4=6/7 (this is written as a fracton) my answers are A.) h=7/24 B.)h=3/4 C.)h= 3 3/7 or D.)h+7/9
    5·2 answers
  • What is the volume of the figure ?
    8·2 answers
  • Out of 2000 random but normally distributed numbers with a mean of 45 and a standard deviation of x, approximately 1360 numbers
    10·1 answer
  • A store buy jeans from the manufacturer for $30 each and sells them at a 50% increase in price. At the end of the season, they p
    13·1 answer
  • write the expression 36 + 4 as a product using the greatest common factor and thr distributive property​
    7·1 answer
  • Mr watson rives 82 miles round trip each day how many miles does mr waton travel in 23 dys?
    14·1 answer
  • What is -78.6 (-2.4)?<br> A. -188.64<br> B. -32.75<br> C. 32.75<br> D. 188.64
    12·2 answers
  • HELPPPPPP ASAP PLSPLSPLSPLSPLSPLSPLS
    8·2 answers
  • What is the multiple of 7 that are between 44 and 54
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!