Answer:
x = 3
Step-by-step explanation:
Here, we want to find the value of x
By mathematical convention;
NM = NL + LM
Now, substitute individual values
3x + 13 = (6x-5) + (2x + 3)
3x + 13 = 6x-5 + 2x + 3
3x + 13 = 8x -2
Collect like terms
8x -3x = 13 + 2
5x = 15
x = 15/5
x = 3
Using cosine, we can find the hypotenuse by using the formula below;
hypotenuse = adjacent / cos ∅
<h3 /><h3 /><h3>Trigonometric ratios:</h3>
- Trigonometric ratios are ratios of sides of a right angled triangle.
- The simplest ratios are cosine, sine and tangent.
Using cosine, the hypotenuse side can be solved as follows:
cosine ∅ = adjacent / hypotenuse
cross multiply
hypotenuse cos ∅ = adjacent
divide both sides by cos ∅
hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅
Therefore,
hypotenuse = adjacent / cos ∅
learn more on cosines here: brainly.com/question/10657732?referrer=searchResults
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