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
Papessa [141]
2 years ago
13

Can someone help solve this, thanks.

Mathematics
1 answer:
qwelly [4]2 years ago
6 0

Given:

\alpha, \beta, \gamma are three interior angles of any triangle.

To prove:

\cos (\alpha+\beta+\gamma)=-1

Solution:

Angle sum property of a triangle: According to this theorem the sum of all three interior angle of a triangle is always 180 degrees.

It is given that, \alpha, \beta, \gamma are three interior angles of any triangle.

By using the angle sum property of triangles, we get

\alpha+\beta+\gamma =180^\circ              ...(i)

We need to prove,

\cos (\alpha+\beta+\gamma)=-1

Taking LHS, we get

LHS=\cos (\alpha+\beta+\gamma)

LHS=\cos (180^\circ)                [Using (i)]

LHS=-1

LHS=RHS

Hence proved.

You might be interested in
X+8=21 I need helpppp
Mrac [35]
You add 13 and 8 it gets 21 so for X its 13
8 0
3 years ago
Read 2 more answers
If the surface area of a sphere is represented by 144 pi, what is the volume in terms of pi?
umka21 [38]

Answer:

288 pi

Step-by-step explanation:

3 0
3 years ago
The width of a rectangle is 1.9 feet. The perimeter is 7.4 feet. What is the length?
dimaraw [331]

Answer:2.8 feet

Step-by-step explanation:

length(l)=?

breadth(b)= 1.9 feet

perimeter(p)=7.4 feet

we know,

p=2(l+b)

7.4=2(l+1.9)

7.4=2l+3.8

2l=7.4-3.8 (changing side and bringing 3.8 to 7.4 it gets -3.8)

l=3.6/2

l=2.8 feet

Hence,length is 2.8 feet

7 0
2 years ago
Points F,G, and H are collinear such that FG:FH=2/3.If a directed line segment begins at F(-3,2) and ends at H (-3,7), find the
Nana76 [90]
We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).
8 0
3 years ago
What is translation for math
kolezko [41]
Where you take a word problem and turn it into an equation
5 0
2 years ago
Read 2 more answers
Other questions:
  • the states C&D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D fi
    7·1 answer
  • Dana walks 3/5 mile in 1/4 hour. What is dana's walking rate in miles per hour?
    12·1 answer
  • Can you please answer this question
    10·1 answer
  • Miguel played video games each day for a week on Monday he scored 83 points . His score went up 5 points up each day on what day
    5·1 answer
  • Explanation for 3x+5=20
    6·2 answers
  • If x= -1 and y = -21, then xy – 5x =
    8·1 answer
  • Anyone can help me please?
    7·1 answer
  • 88 is what percent of 121??
    8·2 answers
  • How many feet are in 1 yard?​
    9·2 answers
  • I need help plsssssss
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!