The value of x that makes m║n is 40°
<h3>Line of transverse on parallel lines: </h3>
In geometry, the line that intersects two straight lines at distinct points is known as a transversal.
<h3>Corresponding angles: </h3>
The angles that are formed when two parallel lines are intersected by a third line i.e a transversal are corresponding angles.
Note:
Two corresponding angles are formed by a transversal with two parallel lines that are equal
Here we have
The angle made by the intersecting line with line m is 120°
And the angle made by the same line with line n is 3x°
Let us assume that m║n
From above observations
The given angle are corresponding angles
=> 3x° = 120°
=> x° = 40°
Therefore,
The value of x that makes m║n is 40°
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The greatest common factor would be 1 because it is the only one they have in common
If the 3 is supposed to be replaced by any x's, then the answer would be 29 I believe.
Answer:
$69.60
Step-by-step explanation:
58 increase 20% =
58 × (1 + 20%) = 58 × (1 + 0.2) = 69.6
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be
Then the sum of a number and 3 subtracted from 10 would be
Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be
Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:
Hence, the number is 5
