Due to the Triangle Angle Sum Theorem, we know that the sum of the interior angles of a triangle equals 180 degrees, therefore,
180 = m<1 + m<2 + m<3
180 - m<3 = m<1 + m<2
But, we also know that m<4 + m<3 = 180 degrees.
180 = m<3 + m<4
180 - m<3 = m<4
Both m<4 and m<1 + m<2 equals 180 - m<3
m<4 = m<1 + m<2
Option a is true and others are false
Answer= x²+7x+10
When we want to expand expressions such as this, the FOIL method helps us remember what exactly to do. FOIL stands for
F:First
O:Outer
I:Inner
L:Last
So, given the expression (x+5)(x+2), lets multiply the first two terms.
x*x=x²
now the outer two terms
x*2=2x
now the inner terms
5*x=5x
and the last terms...
5*2=10
When we combine these expressions we get:
x²+7x+10
I think this is what you meant to be answered in your question, if I have been mistaken, just comment and I'll edit my answer....
Answer:
256
Step-by-step explanation:
4^4^4 = 4^(4^4) = 4^256
so written in base 4, there will be 256 zeroes after a 1.
This translates to approximately 154 digits in decimal.
Just like 2^2^2 = 2^4
there will be four zeroes after a 1.
2^2^2=2^(2^2) = 2^4 = 16 = 10000 (16 in base 2).
So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
This is the top side, but because you could fit 2 circles at the top and you know the measurement, it is common sense to think that it would be the same on the other side. So the area of the square/ rectangle:
112x112= 12,534 mm
