The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.
We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°
Therefore, the answer is 35°.
-3x/4 + 9/4 = (1/2)^x + 1
-3x/4 - 2^-x = -5/4
(Using log rules)
㏑|-3x/4| - ㏑|2^-x| = ㏑|-5/4|
㏑|3x/4| - x㏑|2| = ㏑|5/4|
e^㏑|3x/4| - e^㏑|2|x = e^㏑|5/4|
|3x/4| - 2x = 5/4
|3x| - 8x = 5
|3x-8x| = 5
|-5x| = 5
|5x| = 5
x=1, -1
Answer: 300
Step-by-step explanation:
60% = 60/100
500 x 60/100 = 300
Answer:
and 
Step-by-step explanation:
We have the following system of equations:
and 
To solve the problem, we need to equal the two equations:
⇒
⇒
⇒
So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
and
.
Then, the factorized form of the polynomial is:
.
The, the solution to the system of equations is:
and
.
Y doesn't change so it stays 3.
x will be 0, because the average of 0 and -2 is -1