<h2>Linear equations</h2>
<em>The </em><em>graphical representation</em><em> of a linear equation is a straight line. To solve</em><em> linear equations</em><em>, i</em><em>t is important to keep in mind the following key concepts:</em>
- <em>Maintain the balance of the equation by applying the </em><em>same operations</em><em> to both sides of the equation.</em>
- <em>Clear the variable using like terms.</em>
- <em>Use </em><em>inverse operations</em><em> to rearrange the equation.</em>
<h3>-x + 5 = 1</h3>
We will subtract 5 from both sides.
<h3>−x + 5 - 5 = 1 - 5</h3><h3>−x = -4</h3>
<em>We divide both sides by -1.</em>
<h3>-x/x = -4/-1</h3><h3>x = 4</h3>
Answer: <em>Therefore the solution of the exercise </em><em>-x+5=1,</em><em> is </em><em>x = 4</em><em>. The </em><em>correct option</em><em> is </em><em>"D".</em> ✅
<h2>See more about this:</h2><h3>
brainly.com/question/15415929</h3>
The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
<h3>What is a set?</h3>
A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
To learn more about the sets,
brainly.com/question/8053622
#SPJ4
They are vertical angles, and so set them equal to each other
x + 40 = 3x
Isolate the x. Subtract x from both sides
x (-x) + 40 = 3x (-x)
Simplify
40 = 3x - x
40 = 2x
Isolate the x. Divide 2 from both sides
40/2 = 2x/2
x = 40/2
x = 20
20, or (A) is your answer
hope this helps
Triangle Inequality Theorem is used to find the inequality for a triangle when it only gives you two sides
<em><u>Solution:</u></em>
We can find the inequality for a triangle when it only gives you two sides by Triangle Inequality Theorem
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
This rule must be satisfied for all 3 conditions of the sides.
Consider a triangle ABC,
Let, AB, BC, AC be the length of sides of triangle, then we can say,
Acoording to Triangle Inequality Theorem,
sum of any 2 sides > third side
BC + AB > AC
AC + BC > AB
AB + AC > BC
For example,
When two sides, AB = 7 cm and BC = 6 cm is given
we have to find the third side AC = ?
Then by theorem,
Let AC be the third side
AB + BC > AC
7 + 6 > AC
Thus the inequality is found when only two sides are given
