<span>An expression containing variables, numbers, and operation symbols is called an algebraic expression. ...Find the terms, coefficient, and degree for this expression: . ...<span>List the terms, coefficients, and degree of each term in the following expression: . ...</span></span>
<h3>
Answer: A) z = 12</h3>
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Work Shown:
RS = RT
2z-15 = 9
2z = 9+15
2z = 24
z = 24/2
z = 12
The reason why RS is equal to RT in the first equation is because we have an isosceles triangle. Recall that any isosceles triangle has exactly two sides the same length, and the opposite base angles are congruent to one another. The congruent angles are indicated with the single arcs.
In short: the base angles S and T are congruent, so the opposite sides RS and RT are the same length. This leads to RS = RT.
Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
Answer: The percent gain was 25%.
Step-by-step explanation:
Given, Cost price of lot = $1,200
Selling price of lot = $1,500
The percent gain = 
⇒ Percent gain =
Hence, the percent gain was 25% based on his purchase.
Answer:
3rd option
Step-by-step explanation:
- 10 ≥ 6x - 4 ( add 4 to both sides )
- 6 ≥ 6x , then
6x ≤ - 6 ( divide both sides by 6 )
x ≤ - 1
Thus x = - 1 is a solution to the inequality
