Answer:
x = 135
Step-by-step explanation:
m = length of perpendicular line to hypotenuse
81/m = m/144
m² = 81 x 144 = 11664
m =√11664 = 108
Using the Pythagorean theorem:
x² = 81² + 108² = 6561 + 11664 = 18225
x = √18225 = 135

now, the angle of θ, can only have a "y" value that is positive on, well, y is positive at 1st and 2nd quadrants
and "x" is positive only in 1st and 4th quadrants
now, that angle θ, can only have those two fellows, "y" and "x" to be positive, only in the 1st quadrant, and also both to be negative on the 3rd quadrant.
and that those two fellows, can also be both negative in the 3rd quadrant
3/1 = 3, and -3/-1 = 3
so, the solutions can only be "3", when both "y" and "x" are the same sign, and that only occurs on the 1st and 3rd quadrants
Hello from MrBillDoesMath!
Answer:
96 degrees
Discussion:
The base angles of an isosceles triangle are equal and a triangle has 180 degrees. In our case this means that
42 + 42 + (measure of vertex angle) = 180
84 + (measure of vertex angle) = 180 => (subtract 84 from both sides)
84 - 84 + (measure of vertex angle) = 180- 84 =>
(measure of vertex angle) = 180- 84 = 96
Thank you,
MrB
Answer:-3
Step-by-step explanation:
y=3x+2................(1)
y=x-4......................(11)
Subtract (11) from (1)
y-y=3x-x+2-(-4)
0=2x+2+4
0=2x+6
Collect like terms
0-6=2x
-6=2x
Divide both sides by 2
-6/2=2x/2
-3=x
x=-3
Answer:
General Equation of a Line

Step-by-step explanation:
Find the slope first and then place the values on the general formula. The final step is to solve for y