Answer:
<em>x=74.73°</em>
Step-by-step explanation:
<u>Law of cosines</u>
In a general triangle, the law of cosines relates the lengths of the sides of the triangle to the cosine of one of its angles.
The law of cosine is expressed as:
Where a and b are the lengths of two sides of the triangle, x is the angle contained between them, and c is the other side length.
If all side lengths are known, we can solve the above equation for the angle x:
From the image, we must select a and b as the sides adjacent to angle x in any order. Thus a=17, b=22, c=24. Substituting:
Operating:
Using a scientific calculator:
x=74.73°
Answer:
-1
Step-by-step explanation:
Rise=2
Run=-2
2/-2=
-1
Answer:
See below
Step-by-step explanation:
<u>Statement | Reason </u>
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
3 feet in a yard so you would divide 27 by 3 that gives an answer of 9
Answer:
<h2>(x - 6)(x - 4)</h2><h2 />
Step-by-step explanation:
x² - 10x + 24 = (x² - 6x) + (24 - 4x) = x(x - 6) + 4(6 - x) = (x - 6)(x - 4)