Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
To remove the parentheses, you just distribute.
So, it will become 3ax + 3b^2 - 3c +2. I don't think there is any like term in this expression.
Answer:
the answer is 1/3 pie r2h
Step-by-step explanation:
The volume of a cylinder is given by πr²h where, r is the radius of the cylinder and h is the height of the cylinder.
Also r=d/2 , where d is the diameter of the cylinder.
Therefore if the diameter is halved, the radius also gets halved ,i.e., it becomes r/2. Therefore the new volume = π(r/2)²h
=π(r²/4)h
=(1/4) πr²h
Therefore the volume becomes one-fourth of the initial volume.
Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values