So Angle x is actually the same as angle BCA
So what you have to do is get that first
41+102+x=180
x=37
That is due to BAC and BCA being AIA (alternate interior angles)
Part A
Either Nathan picked 0, or Sonia picked 0, or both.
This is because multiplying nonzero numbers together gets a nonzero result. So one of them must have picked 0.
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Part B
It's the same idea as part A. It's not clear what the nonzero values are, but one (or more) person picked 0 as their secret number.
If they picked something like 1, 2 and 3, then the product is 1*2*3 = 6 which is nonzero and the product is larger than the three original values. This is because each value is 1 or larger. If someone picked a small decimal value like 0.1 then 0.1*2*3 = 0.6 is the product. It's closer to 0, but not 0 itself.
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Part C
Zero Product Property:
If m*n = 0, then either m = 0 or n = 0 or both.
This idea says that if the product of two numbers is 0, then at least one of the numbers must be 0 itself. It can be extended to three or more numbers.
This idea is useful when it comes to solving factored quadratic equations.
In the case of 2x^2 + 5x - 12, it factors to (2x-3)(x+4)
So using the zero product property, we can solve the quadratic equation like this
2x^2 + 5x - 12 = 0
(2x-3)(x+4) = 0
2x-3 = 0 or x+4 = 0
2x = 3 or x = -4
x = 3/2 = 1.5 or x = -4
The use of the zero product property happens in step 3
Answer:
Step-by-step explanation:
Given:
S = 52.5°
s = QR = 7
Q = 80°
q = RS = ?
Required:
Equation that could be used to find the length of RS
Solution:
We would need the law of Sines which is given as:
Applying the Law of Sines, we would have the following equation:
Plug in the values
Therefore, the equation that can be used to determine the length of RS is
There are 5 feet and 2 inches in 62 inches. Hope this helps!
• The following formula can be used to find the slope of a line:
These points are on the line:
Given the following points:
Then, you can set up that:
Therefore, substituting values into the formula and evaluating, you get:
• As you can notice, the slope is negative. Therefore, you can determine that it is decreasing.
Therefore, the answers are:
• Slope of the line:
• It is decreasing.
