Answer:
B. The contradiction of the statement is proven false, so the original
statement is therefore proven true.
Step-by-step explanation:
We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite ( what we originally wanted to prove) is true.
To answer this question, you can use the values of the unit circle to figure out the angle measurement. Since the cosine is the x value of the circle, we can see that at 45°<span>, the x value is √2/2.
So the missing angle should be 45°</span>
Take the logarithm of both sides. The base of the logarithm doesn't matter.
Drop the exponents:
Expand the right side:
Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :
Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :
You can stop there, or continue simplifying the solution by using properties of logarithms:
You can condense the solution further using the change-of-base identity,
Answer:
-1/4 (2x - 5y)
Step-by-step explanation:
For us to factor -1/4 out of -1/2x -5/4y
We will have to multiply the values in bracket by the reciprocal of -1/4 i.e -4 as shown
-1/2x - 5/4 y
= -1/4 (-4(-1/2x) - (-4)(-5/4y))
= -1/4 (4/2 x - 20/4 y)
= -1/4 (2x - 5y)
Hence the factored expression is -1/4 (2x - 5y)
Answer:
x=75
Step-by-step explanation:
The triangle is isosceles, meaning that the angles V and U are congruent
