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.
The symbol that would make it true would be >
Answer:
1). y = -7/5x - 4
2). y = 1/5x - 5
Step-by-step explanation:
In this question, we have to write the slope-intercept form of the given information.
Slope intercept form is: y = mx + b
Our "m" value is our slope and our "b" value is our y-intercept.
With that knowledge, we can plug in our given information to the slope-intercept equation:
1) slope = -7/5, y-intercept = -4
Plug -7/5 to "m" and -4 to "b"
y = -7/5x - 4
2) slope = 1/5, y-intercept = -5
Plug 1/5 to "m" and -5 to "b"
y = 1/5x - 5
Answer:
60
Step-by-step explanation:
DEF=180
DE=120
180-120=60
i hope this helps
Answer:
The answer is 6.
Step-by-step explanation:
To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.
