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Answer:
d) 86.2 degrees
x = 86.20°
Attached is the image used in the question;
Step-by-step explanation:
Applying the law of cosine;
Cos C = (a² + b² - c²)/2ab
Where;
Angle C = x
c = 13 ft
b = 9ft
a = 10ft
Substituting into the equation;
Cos x = (10² + 9² - 13²)/(2×10×9)
Cos x = 0.0667
x = cos⁻¹(0.0667)
x = 86.20°
Point slope form of a line:
where 
is your slope and 
is a point on your line.
For a line with a slope of 3/5 that passes through (10, -2)...
Let's plug these values into our formula.
Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.
There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.
For a line with a slope of 3/5 that passes through (10, -2)...
Let's plug these values into our formula.
Subtracting by a negative is the same thing as adding (the double negatives cancel), so let's simplify that.
There's our equation in point-slope form. (keep in mind that you're not going to want to distribute that 3/5 or subtract the 2 or anything. You want to keep it similar to the formula.