First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that t<span>he sum of three consecutive even integers is </span>

<span>, therefore, you can given the variable </span>

<span> to the first integer, the second even integer is </span>

<span> and the third one is </span>

<span>.
2. Calculate x:
</span>

<span>
</span>

<span> </span>

<span>
</span>

<span>
</span>

<span>
Therefore, the answer is:</span>
Answer:
corresponding
Step-by-step explanation:
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
<span>A simple event is an event where all possible outcomes are equally likely to occur. ...A set of all possible outcomes of an event is called sample space, usually represented as 'S' with curly braces { }. ...<span>This is called Experimental Probability – probability derived from a series of trials, or experiments.</span></span>