To find the value of x, use the vertical angle theorem.
Vertical angles are congruent.
Thus we have:
6x - 10 = 5x + 1
Solve for x.
6x - 10 = 5x + 1
Add 10 to both sides:
6x - 10 + 10 = 5x + 1 + 10
6x = 5x + 11
Subtract 5x from both sides:
6x - 5x = 5x - 5x + 11
x = 11
To find the value of y, use corresponding angles thoerem.
When two parallel lines are crossed by a transversal, the angles in matching corners are correponding angles.
Corresponding angles are congruent.
Thus, we have:
y = 6x - 10
Substitiute x for 11:
y = 6(11) - 10
y = 66 - 10
y = 56°
ANSWER:
x = 11, y = 56°
Answer:
1/3
Step-by-step explanation:
-6+(-1/3)= -19/3
-19/3 + 20/3 = 1/3
Answer:
Step-by-step explanation:
f(x) = -5x + 5
g(x) = 8 + 2x
a) (f + g)(x) = f(x) + g(x)
= (- 5x + 5) + ( 8 + 2x )
= - 5x + 2x + 5 + 8
= - 3x + 13
b) (f - g)(x) = f(x) - g(x)
= ( -5x + 5 ) - ( 8 + 2x)
= - 5x + 5 - 8 - 2x
= - 7x - 3
c) (f + g)( 4 )
(f + g)( x ) = - 3x + 13
(f + g) ( 4 ) = - 3 ( 4 ) + 13
= - 12 + 13
= 1
d)(f - g)(- 3)
(f - g) ( x ) = - 7x - 3
(f - g) ( - 3 ) = - 7 ( - 3 ) - 3
= 21 - 3
= 18
Answer:
See proof below
Step-by-step explanation
cot^2(x) - csc^2(x) = -1
In trigonometry identity
cot^2x = cos²x/sin²x
Csc²x = 1/sin²x
Substitute into the original expression
cos²x/sin²x - 1/sin²x
Find the LCM
(Cos²x-1)/sin²x .... *
Recall that sin²x+cos²x = 1
Sin²x = 1-cos²x
-sin²x = -1+cos²x
-sin²x = cos²x-1 .... **
Substitute ** into *
(Cos²x-1)/sin²x
-sin²x/sin²x
= -1 (RHS)
Therefore cot^2(x) - csc^2(x) = -1 (Proved!)
Consider the given number is in question as well as in options.
Given:
is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
When evaluated, results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.