<span>9(3x−16)+15=6x−24
</span>
<span>9(3x)−9(16)+15=6x−<span>24
</span></span>27x−144+15=6x−<span>24
</span>
<span><span>21</span>x=<span>105
21x/21=0
105/21=5
x=5</span></span>
Answer:
112°
Step-by-step explanation:
The sum of all of the angles needs to reach 360° to make a full circle.
59 + 108 + 81 = 248
360 - 248 = 112
Answer: scalene and obtuse
Justification:
You can find the angles using the law of cosine:
c^2 = a^2 + b^2 - 2abcos(γ)
=> cos(γ) = [a^2 + b^2 - c^2] / (2ab)
1) cos(γ) = [10^2 + 11^2 - 15^2] / (2*10*11) = - 0.0181818
=> γ = arccos(-0.0181818} ≈ 91°
2) cos(α) = [b^2 + c^2 - a^2 ] / 2bc = [11^2 + 15^2 - 10^2] / (2*11*15] = 0.7454545
=> α = arccos(0.7454545) ≈ 41.8°
3) cos(β) = [a^2 + c^2 - b^2] / (2ac) = [10^2 + 15^2 - 11^2] /(2*10*15) = 0.68
=> β = arccos(0.68) ≈ 47.2°
4) Verification: 91° + 41.8° + 47.2° = 180°
5) The triangles with the three different sides are called scalenes (which you can tell with only the measures of the sides).
6) The triangles with one angle greater than 90° are called obtuse.
So, the triangle is scalene and obtuse.
I have attached the graph of y = -x + 1.5
The line goes through the points (0,1.5) and (1.5,0)
