Answer:
#15) B. 30 mn^5
#17) B. 1/2
Step-by-step explanation:
<h2>#15:</h2>
The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.
All of these measurements are given so all that you need to do is to substitute these values into the formula.
Substitute 3 for a, 9 for b, and 5 for h.
Solve inside the parentheses first. Add 3 and 9.
Multiply 12 and 1/2 together.
Multiply 6 and 5.
We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.
After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.
Therefore the final answer is B. 30 mn^5.
<h2>#17:</h2>
When going down from 32 to 8 to 2, you can see that each number is being divided by 4.
32 / 4 = 8...
8 / 4 = 2...
So to find the next number in this sequence you would divide 2 by 4.
The answer is B. 1/2.
The correct answer is {1, 2, 5, 6}.
A intersect B would be {3, 4}; the complement of this is everything else.
<u>Methods to solve rational equation:</u>
Rational equation:
A rational equation is an equation containing at least one rational expression.
Method 1:
The method for solving rational equations is to rewrite the rational expressions in terms of a common denominator. Then, since we know the numerators are equal, we can solve for the variable.
For example,
This can be used for rational equations with polynomials too.
For example,
When the terms in a rational equation have unlike denominators, solving the equation will be as follows
Method 2:
Another way of solving the above equation is by finding least common denominator (LCD)
Factors of 4: 
Factors of 8: 
The LCD of 4 and 8 is 8. So, we have to make the right hand side denominator as 8. This is done by the following step,
we get,
On cancelling 8 on both sides we get,
Hence, these are the ways to solve a rational equation.
It is the AAS Postulate.
Explanation: You’re given two right angles (because perpendicular sides make right angles).
This also means that the angle next to them are also right angles, because they are linear pairs (180-90=90)
The right angles are:
This is your first A.
Both triangles also share a similar angle:
This is your second A.
You’re given side BD is congruent to EC.
This is your S.
It’s AAS and not ASA because the order refers to how they are connected: they are congruent in the order that the first set of congruent angles connect to the next, then to the congruent side.
