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
Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.
matrenka [14]
Equalities will have the words "is" or "equals" or "the same as" in the wording. These produce a unique solution.

Inequalities have phrases like "at most" or "at least" or "no more than" in them. Solutions are a range of values, ranging between 2 values, or from a particular value to positive or negative infinity.
5 0
3 years ago
Read 2 more answers
Which number is not a whole number ? A. 8. B. -10. C. 0. D.18/3
NARA [144]

Answer:

B. -10 its a negative number

3 0
2 years ago
A. (x, y) → (x, y + 4)
Harrizon [31]
X444444xxx-xxxx444468
3 0
3 years ago
Find the exact values of sin A and cos A. Write fractions in lowest terms. A right triangle ABC is shown. Leg AC has length 6, l
Tom [10]
I hope this helps



sinA=BC/AB


sinA=8/10=0,8



cosA=AC/AB


cosA=6/10=0,6
6 0
3 years ago
Read 2 more answers
12 POINT HURRY PLEASE
solong [7]

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

{ \tt{g(x) =  \frac{ {x}^{2}  + 5x}{3x} }} \\

If x approaches -∞;

{ \tt{g( {}^{ - }  \infin}) =  \frac{ {(  {}^{ - }   \infin)}^{2}  +   {}^{ - }   \infin}{  {}^{ - }  \infin} } \\  \\ { \boxed{ \tt{g( {}^{ - } \infin) =   {}^{ - } \infin  }}}

If x approaches +∞;

{ \tt{g( {}^{ + } \infin) =  \frac{ {( \infin)}^{2}  +  \infin}{ \infin}  }} \\  \\ { \boxed{ \tt{ g( {}^{ + }  \infin) =  {}^{ + } \infin }}}

Note: I'm taking my infinite value to be 1,000

7 0
2 years ago
Other questions:
  • How to use point slope form with an undefined slope?
    10·1 answer
  • 9. If J= 12, what is J/3 + 3?
    8·2 answers
  • The world record of 19.32 seconds in
    11·1 answer
  • Kendall is buying a home for 119,000 she is making a 12% down payment and financing the rest with 20-year loan at 4.5% interest
    6·1 answer
  • Bronze is an alloy or mixture of the metals copper and tin. The properties of bronze depends on the percentage of copper in the
    8·2 answers
  • Find the price per pound to the nearest cent . Remember 16oz = 1 lb <br> 12 oz cereal-$3.75
    9·1 answer
  • 3^x = 27^a+b and a^2-b^2/(a-b)=5 What is x?
    11·1 answer
  • Given rectangle. Find area of trapezoid. (4 points)
    5·2 answers
  • A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the walkway is 15 feet more than th
    7·1 answer
  • 5. Find cos 0 if sin 0= -12/13 <br> and tan 0 &gt; 0.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!