Find the value of x that makes m ∥ n
2 answers:
Answer:
The value of x that makes m || n is x = 20
Step-by-step explanation:
Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.
In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.
We need this two angles to be congruent ⇒
Solving this for ''x'' :
The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20
You might be interested in
About 92 days are taken for 90 % of the material to <em>decay</em>.
The mass of radioisotopes (), measured in milligrams, decreases exponentially in time (
), measured in days. The model that represents such decrease is described below:
(1)
Where:
- Initial mass, in milligrams.
- Current mass, in milligrams.
- Time constant, in days.
In addition, the time constant is defined in terms of half-life (), in days:
(2)
If we know that ,
and
, then the time required for decaying is:
About 92 days are taken for 90 % of the material to <em>decay</em>.
We kindly invite to check this question on half-life: brainly.com/question/24710827